1.4 Result lookup table on one web page

Miscellaneous PDE’s

Table 1.12: Miscellaneous PDE’s breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
1	General first order	Transport equation \(u_t+ u_x = 0\)	✓	0.024	✓	0.089	Yes
2	General first order	Transport equation \(u_t-3 u_x = 0\) IC \(u(0,x)=e^{-x^2}\). Peter Olver textbook, 2.2.2 (a)	✓	0.004	✓	0.04	Yes	Yes
3	General first order	Transport equation \(u_t+2 u_x = 0\) IC \(u(-1,x)=\frac {x}{1+x^2}\). Peter Olver textbook, 2.2.2 (b)	✓	0.003	✓	0.017	Yes	Yes
4	General first order	Transport equation \(u_t+u_x+\frac {1}{2}u = 0\) IC \(u(0,x)=\arctan (x)\). Peter Olver textbook, 2.2.2 (c)	✓	0.003	✓	0.055	Yes	Yes
5	General first order	Transport equation \(u_t-4u_x+u = 0\) IC \(u(0,x)=\frac {1}{1+x^2}\). Peter Olver textbook, 2.2.2 (d)	✓	0.003	✓	0.016	Yes	Yes
6	General first order	Transport equation \(u_t+2 u_x= \sin x\) IC \(u(0,x)=\sin x\). Peter Olver textbook, 2.2.5	✓	0.049	✓	0.049	Yes	Yes
7	General first order	Transport equation \(u_t+\frac {1}{1+x^2} u_x= 0\) IC \(u(x,0)=\frac {1}{1+(3+x)^2}\). Peter Olver textbook, page 27	✓	0.014	✓	0.073	Yes	Yes
8	General first order	Transport equation \(u_t-x u_x= 0\) IC \(u(x,0)=\frac {1}{1+x^2}\). Peter Olver textbook, problem 2.2.17	✓	0.004	✓	0.045	Yes	Yes
9	General first order	Transport equation \(u_t+(1-2 t) u_x= 0\) IC \(u(x,0)=\frac {1}{1+x^2}\). Peter Olver textbook, problem 2.2.29	✓	0.013	✓	0.055	Yes	Yes
10	General first order	Transport equation \(u_t+\frac {1}{x^2+4} u_x= 0\) IC \(u(x,0)=e^{x^3+12 x}\)	✓	0.011	✓	0.065	Yes	Yes
11	General first order	\(3 u_x + 5 u_y = x\)	✓	0.004	✓	0.007	Yes
12	General first order	\(x u_y + y u_x = -4 x y u\) and \(u(x,0)=e^{-x^2}\)	✓	0.01	✓	0.049	Yes
13	General first order	\(u_t + u_x = 0\) and \(u(x,0)=\sin x\) and \(u(0,t)=0\)	✓	0.052	✓	0.371	Yes
14	General first order	\(u_t+ c u_x = 0\) and \(u(x,0)=e^{-x^2}\)	✓	0.003	✓	0.019	Yes
15	General first order	(Haberman 12.2.2) \(\omega _t -3 \omega _x = 0\) and \(\omega (x,0)=\cos x\)	✓	0.003	✓	0.016	Yes
16	General first order	(Haberman 12.2.4) \(\omega _t +c \omega _x = 0\) and \(\omega (x,0)=f(x)\) and \(\omega (0,t)=h(t)\)	✗	10.387	✓ Solution contains unresolved invlaplace calls	0.243	Yes
17	General first order	(Haberman 12.2.5 (a)) \(\omega _t +c \omega _x = e^{2 x}\) and \(\omega (x,0)=f(x)\)	✓	0.027	✓	0.037	Yes
18	General first order	(Haberman 12.2.5 (d)) \(\omega _t +3 t \omega _x = \omega (x,t)\) and \(\omega (x,0)=f(x)\)	✓	0.023	✓	0.05	Yes
19	General first order	\( 2 u_x + 5 u_y = u^2(x,y) + 1\)	✓	0.083	✓	0.03	Yes
20	General first order	Clairaut equation \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\)	✓	0.012	✓	0.196	Yes
21	General first order	Clairaut equation. \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\) with \(u(x,0)= \frac {1}{2} (1-x^2)\)	✓	0.009	✓	0.611
22	General first order	Clairaut equation. \(u = x u_x+ y u_y + \sin ( u_x + u_y )\)	✓	0.016	✓	0.013
23	General first order	Recover a function from its gradient vector	✓	0.021	✓	0.059
24	General first order	\(x f_y - f_x = \frac {g(x)}{h(y)} f^2\)	✓	0.038	✓	0.036	Yes
25	General first order	\(f_x + (f_y)^2 = f(x,y,z)+z\)	✓	0.047	✓	0.464
26	General first order	\(x u_x+y u_y=u\) (Example 3.5.1 in Lokenath Debnath)	✓	0.007	✓	0.01	Yes
27	General first order	\(x u_x+y u_y=n u\) Example 3.5.2 in Lokenath Debnath	✓	0.007	✓	0.009	Yes
28	General first order	\(x^2 u_x+y^2 u_y=(x+y) u\) Example 3.5.3 in Lokenath Debnath	✓	0.082	✓	0.023	Yes
29	General first order	\((y-z) u_x + (z-x) u_y + (x-y) u_z = 0\) (Example 3.5.4 in Lokenath Debnath)	✗ (Timed out)	600.	✓	1.899	Yes
30	General first order	\(u(x+y) u_x+u(x-y) u_y=x^2+y^2\) (Example 3.5.5 in Lokenath Debnath)	✓	0.361	✓ Maple does not accept this form of Cauchy data	0.154	Yes
31	General first order	\(u_x-u_y=1\) with \(u(x,0)=x^2\) Example 3.5.6 in Lokenath Debnath	✓	0.003	✓	0.014
32	General first order	\((y-x)u_x+(u-x)u_y=x-y\) with \(u=0\) on \(x y=1\) Example 3.5.7 in Lokenath Debnath	✗ Kernel error	120.019	✗ (Timed out)	600.
33	General first order	\(y u_x+x u_y=u\) with \(u(x,0)=x^3\) and \(u(0,y)=y^3\) Example 3.5.8 in Lokenath Debnath	✗	1.297	✗	0.429
34	General first order	\(x u_x+y u_y=x e^{-u}\) with \(u=0\) on \(y=x^2\) Example 3.5.10 in Lokenath Debnath	✓	0.1	✓ Maple does not accept this form of Cauchy data	0.057
35	General first order	\(u_t+u u_x=x\) with \(u(x,0)=f(x)\) Example 3.5.11 in Lokenath Debnath.	✗ Kernel error	0.645	✓	0.184
36	General first order	\(u_x=0\) Problem 3.3(a) Lokenath Debnath	✓	0.003	✓	0.002
37	General first order	\(a u_x+b u_y=0\) Problem 3.3(b) Lokenath Debnath	✓	0.004	✓	0.007
38	General first order	\(u_x+y u_y=0\) Problem 3.3(c) Lokenath Debnath	✓	0.013	✓	0.009
39	General first order	\((1+x^2) u_x+ u_y=0\) Problem 3.3(d) Lokenath Debnath	✓	0.006	✓	0.009
40	General first order	\(2 x y u_x+(x^2+y^2)u_y=0\) Problem 3.3(e) Lokenath Debnath	✓	0.102	✓	0.023
41	General first order	\((y+u) u_x+y u_y=x-y\) Problem 3.3(f) Lokenath Debnath	✗	4.092	✓	0.319
42	General first order	\(y^2 u_x- x y u_y=x(u-2 y)\) Problem 3.3(g) Lokenath Debnath	✓	0.029	✓	0.038
43	General first order	\(y u_y - x u_x = 1\) Problem 3.3(h) Lokenath Debnath	✓	0.007	✓	0.009
44	General first order	\(u_x+2 x y^2 u_y=0\) Problem 3.4 Lokenath Debnath	✓	0.074	✓	0.01
45	General first order	\(3 u_x+2 u_y=0\) with \(u(x,0)=\sin x\). Problem 3.5(a) Lokenath Debnath	✓	0.003	✓	0.015
46	General first order	\(y u_x+x u_y=0\) with \(u(0,y)=e^{-y^2}\). Problem 3.5(b) Lokenath Debnath	✓	0.01	✓	0.024
47	General first order	\(x u_x+y u_y=2 x y\) with \(u=2\) on \(y=x^2\). Problem 3.5(c) Lokenath Debnath	✓	0.006	✓ Maple does not accept this form of Cauchy data as I.C.	0.008
48	General first order	\(u_x+x u_y=0\) with \(u(0,y)=\sin y\). Problem 3.5(d) Lokenath Debnath	✓	0.003	✓	0.149
49	General first order	\(y u_x+x u_y=x y\) with \(u(0,y)=e^{-y^2},u(x,0)=e^{-x^2}\). Problem 3.5(e) Lokenath Debnath	✗	1.138	✗	0.371
50	General first order	\(u_x+x u_y=(y-\frac {1}{2}x^2)^2\) with \(u(0,y)=e^{y}\). Problem 3.5(f) Lokenath Debnath	✓	0.005	✓	0.075
51	General first order	\(x u_x+y u_y=u+1\) with \(u=x^2\) on \(y=x^2\) Problem 3.5(g) Lokenath Debnath	✓	0.007	✓ Maple does not accept this form of Cauchy data as I.C.	0.01
52	General first order	\(u u_x - u u_y= u^2 + (x+y)^2\) with \(u(x,0)=1\) Problem 3.5(h) Lokenath Debnath	✓	0.04	✓	0.057
53	General first order	\(x u_x+(x+y)u_y=u+1\) with \(u(x,0)=x^2\) Problem 3.5(i) Lokenath Debnath	✓	0.011	✓	0.039
54	General first order	\(x u_x+y u_y+z u_z=0\) Problem 3.8(a) .Lokenath Debnath	✓	0.01	✓	0.011
55	General first order	\(x^2 u_x+y^2 u_y+z(x+y)u_z=0\) Problem 3.8(b) Lokenath Debnath	✓	0.089	✓	0.016
56	General first order	\(x(y-z)u_x+y(z-x)u_y+z(x-y)u_z=0\) Problem 3.8(c) Lokenath Debnath	✓	0.027	✓	0.68
57	General first order	\(y z u_x - x z u_y+ x y (x^2+y^2) u_z=0\) Problem 3.8(d) Lokenath Debnath	✓	0.068	✓	0.034
58	General first order	\(x(y^2-z^2) u_x + y(z^2-y^2) u_y+ z (x^2-y^2) u_z=0\) Problem 3.8(e) Lokenath Debnath	✗	44.854	✗	0.368
59	General first order	\(u_x+x u_y=y\) with \(u(0,y)=y^2\) Problem 3.9(a) Lokenath Debnath	✓	0.004	✓	0.016
60	General first order	\(u_x+x u_y=y\) with \(u(1,y)=2 y\) Problem 3.9(b) Lokenath Debnath	✓	0.005	✓	0.007
61	General first order	\((u_x+u_y)^2-u^2=0\). Problem 3.10 Lokenath Debnath	✓	0.007	✓	0.012
62	General first order	\((y+u)u_x+y u_y=x-y\) with \(u(x,1)=1+x\). Problem 3.11 Lokenath Debnath	✗	7.967	✗	0.708
63	General first order	\(2 x u_x+(x+1) u_y=y\) with \(u(1,y)=2 y\). Problem 3.14(d) Lokenath Debnath	✓	0.009	✓	0.124
64	General first order	\(x u_x+y u_y=x^2+y^2\) with \(u(x,1)=x^2\). Problem 3.14(e) Lokenath Debnath	✓	0.01	✓	0.033
65	General first order	\(y^2 u_x+(x y) u_y=x\) with \(u(x,1)=x^2\). Problem 3.14(f) Lokenath Debnath	✓	0.016	✓	0.037
66	General first order	\(x u_x+y u_y=x y\) with \(u=\frac {x^2}{2}\) at \(y=x\). Problem 3.14(g) Lokenath Debnath	✓ Mathematica does not support this Cauchy data I.C.	0.007	✓ Maple does not support this Cauchy data I.C.	0.009
67	General first order	\(u_x+u u_y=1\) with \(u(0,y)=a y\). Problem 3.16(a) Lokenath Debnath	✓	0.018	✓	0.02
68	General first order	\((y+u)u_x+(x+u)u_y=x+y\). Problem 3.17(a) Lokenath Debnath	✗	30.116	✓	20.194
69	General first order	\(x u(u^2+x y)u_x - y u(u^2+x y) u_y = x^4\). Problem 3.17(b) Lokenath Debnath	✓	0.027	✓	0.037
70	General first order	\((x+y) u_x + (x-y)u_y =0\). Problem 3.17(c) Lokenath Debnath	✓	0.028	✓	0.045
71	General first order	\(y u_x - x u_y = e^u\) with \(u(0,y)=y^2-1\)	✓	0.12	✓	0.085	Yes
72	General first order	\(y u_x - x u_y = e^u\)	✓	0.054	✓	0.002	Yes
73	General first order	\(u_t + x u_x = 0\) with \(u(x,0)=x^2\). Math 5587	✓	0.005	✓	0.02	Yes
74	General first order	\(u_t + t u_x = 0\) with \(u(x,0)=e^x\)	✓	0.009	✓	0.03	Yes
75	General first order	\(2 u_x + 3 u_y = 1\)	✓	0.004	✓	0.007	Yes
76	General first order	\(x u_t - t u_x = 0\)	✓	0.009	✓	0.013	Yes
77	General first order	\(u_t + u_x = 0\) with \(u(x,1)=\frac {x}{1+x^2}\)	✓	0.003	✓	0.008	Yes
78	General first order	\(u_x u_y = 1\)	✓	0.002	✓	0.013	Yes
79	General first order	\(u_x u_y = u\) with \(u(x,0)=0,u(0,y)=0\)	✗	1.074	✓	0.556	Yes
80	Solved by factoring into two transport equations	\(u_{xx} + u_{xt} - 6 u_{tt} = 0\)	✓	0.514	✓	0.082	Yes
81	Solved by factoring into two transport equations	\(u_{xx} - u_{xt} - 12 u_{tt} = 0\)	✗	1.554	✓	0.246	Yes
82	Solved by factoring into two transport equations	\(u_{xx} - 3 u_{xt} - 4 u_{tt} = 0\)	✗	0.467	✓	2.034	Yes
83	Solved by factoring into two transport equations	\(u_{tt} - 2 u_{xt} - 3 u_{xx} = 0\) with \(u(0,x)=x^2, u_t(x,0)=e^x\)	✗	0.392	✓	1.312
84	Schrodinger PDE	Logan textbook, page 30	✓	0.377	✓	0.487
85	Schrodinger PDE	In a square, zero potential	✓	0.259	✓	2.934
86	Schrodinger PDE	From Mathematica help pages	✓	0.66	✓	0.68
87	Schrodinger PDE	From Mathematica help pages	✓	0.005	✗ Trivial solution. Maple does not support \(\infty \) in boundary conditions	3.897
88	Schrodinger PDE	David Griffiths, page 47	✓	35.841	✓	1.52
89	Schrodinger PDE	David Griffiths, page 47	✓	0.011	✓	0.782
90	Schrodinger PDE	In a square	✓	0.011	✓	2.282
91	Beam PDE	Beam PDE \(u_{tt} + u_{xxxx} = 0\)	✓	0.206	✓	0.229
92	Burger’s PDE	Inviscid Burgers \(u_x + u u_y = 0\)	✓ Implicit solution	0.027	✓	0.019	Yes
93	Burger’s PDE	Inviscid Burgers with I.C. \(u_x+ u u_y = 0\) and \(u(x,0)=\frac {1}{x+1}\)	✓	0.008	✓	0.047	Yes
94	Burger’s PDE	\(u_t+ u u_x = \mu u_{xx}\)	✓	0.026	✓	0.064
95	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) with IC	✓	21.53	✗	0.655
96	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) IC as UnitBox	✓	24.232	✗	0.788
97	Black Scholes PDE	classic Black Scholes model from finance, European call version	✓	3.046	✓	0.931
98	Black Scholes PDE	Boundary value problem for the Black Scholes equation	✓	2.766	✓	2.334
99	Korteweg-deVries PDE	\(u_{xxx} + u_t -6 u u_x = 0\)	✓	0.029	✓	0.177
100	Tricomi PDE	\(u_{xx} + y u_{yy} = 0\) with \(u(x,0)=0,u_y(x,0)=x^2\)	✓	4.196	✓	3.212
101	Tricomi PDE	\(u_{xx} + x u_{yy} = 0\)	✗	0.005	✓	1.635
102	Keldysh equation	\(x u_{xx} + u_{yy} = 0\)	✗	0.004	✓	1.7
103	Euler-Poisson-Darboux equation	\(u_{xx} + u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.007	✓	0.082
104	Euler-Poisson-Darboux equation	\(u_{xx} - u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.006	✓	0.26
105	Euler-Poisson-Darboux equation	\(u_{tt} - u_{xx} - \frac {2}{x} u_x = 0\) with \(u(x,0)=0,u_t(x,0)=g(x)\)	✗	1.963	✓	3.855
106	Chaplygin’s equation	\(u_{\theta \theta }+\frac {v^2}{1-\frac {v^2}{c^2}} u_{vv} + v u_v=0\)	✗	0.021	✓	0.889
107	Cauchy Riemann PDE’s	Cauchy Riemann PDE with Prescribe the values of \(u\) and \(v\) on the \(x\) axis	✓	0.005	✓	0.13
108	Cauchy Riemann PDE’s	Cauchy Riemann PDE With extra term on right side	✗	0.001	✓	0.052
109	Hamilton-Jacobi PDE	Hamilton-Jacobi type PDE	✗	0.007	✓	0.157
110	Airy PDE	\(u_t + u_{xxx} = 0\)	✗	0.002	✓	0.064	Yes
111	Nonlinear PDE’s	Bateman-Burgers \(u_t+u u_x = \nu u_{xx}\)	✓	0.02	✓	0.06
112	Nonlinear PDE’s	Benjamin Bona Mahony \(u_t+u_x + u u+x - u_{xxt} = 0\)	✓	0.031	✓	0.075
113	Nonlinear PDE’s	Benjamin Ono \(u_t+H u_{xx} +u u_x = 0\)	✓	0.02	✓	0.062
114	Nonlinear PDE’s	Born Infeld \((1-u_t^2) u_{xx} + 2 u_x u_t u_{xt} - (1+ u_x^2) u_{tt}=0\)	✓	0.008	✓	0.135
115	Nonlinear PDE’s	Boussinesq \(u_{tt}-u_{xx}-u_{xxxx} - 3 (u^2)_{xx} = 0\)	✓	0.042	✓	0.086
116	Nonlinear PDE’s	Boussinesq type \(u_{tt}-u_{xx}-2 \alpha (u u_x)_x - \beta u_{xxtt} = 0\)	✓	0.041	✓	0.106
117	Nonlinear PDE’s	Buckmaster \( u_t = (u^4)_{xx} + (u^3)_x\)	✗	0.07	✓ Answer in terms of RootOf.	0.352
118	Nonlinear PDE’s	Camassa Holm \(u_t + 2 k u_x - u_{xxt} + 3 u u_x = 2 u_x u_{xx}+ u u_{xxx}\)	✗	0.174	✓ Answer in terms of RootOf.	1.52
119	Nonlinear PDE’s	Chaffee Infante \(u_t = u_{xx} + \lambda (u^3 - u) = 0\)	✗	0.093	✓	0.176
120	Nonlinear PDE’s	Clarke. \(\left ( \theta _t - \gamma e^\theta \right )_{tt} = \left ( \theta _t - e^\theta \right )_{xx}\)	✗	0.01	✗	0.025
121	Nonlinear PDE’s	Degasperis Procesi \(u_t - u_{xxt} + 4 u u_x = 3 u_x u_xx + u u_{xxx}\)	✗	0.169	✓ But still has unresolved ODE’s in solution	0.52
122	Nonlinear PDE’s	Dym equation \(u_t =u^3 u_{xxx}\)	✗	0.083	✓ has RootOf	0.375
123	Nonlinear PDE’s	Estevez Mansfield Clarkson \(u_{tyyy} + \beta u_y u_{yt} + \beta u_{yy} u_t + u_{tt} = 0\)	✓	0.033	✓	0.121
124	Nonlinear PDE’s	Fisher’s \(u_t = u(1-u)+u_{xx}\)	✓	0.05	✓	0.165
125	Nonlinear PDE’s	Hunter Saxton \(\left ( u_t + u u_x) \right )_x = \frac {1}{2} (u_x)^2\)	✗	0.044	✓ with RootOf	0.107
126	Nonlinear PDE’s	Kadomtsev Petviashvili \( \left ( u_t + u u_x + \epsilon ^2 u_{xxx} \right )_x + \lambda u_{yy} = 0 \)	✓	0.071	✓	0.125
127	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ \lambda u^p=0\)	✗	0.004	✗	0.017
128	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ u^2=0\)	✗	0.228	✓	0.346
129	Nonlinear PDE’s	Khokhlov Zabolotskaya \(u_{x t} - (u u_x)_x = u_{yy}\)	✗	0.057	✓	0.237
130	Nonlinear PDE’s	Korteweg de Vries (KdV) \(u_t + (u_x)^3+ 6 u u_x = 0\)	✓	0.029	✓	0.092
131	Nonlinear PDE’s	Lin Tsien \(2 u_{tx} + u_x u_{xx} - u_{yy} = 0\)	✗	0.072	✓	0.243
132	Nonlinear PDE’s	Liouville \(u_{xx} + u_{yy} +e^{\lambda u} = 0\)	✗	0.004	✗	0.017
133	Nonlinear PDE’s	Plateau \((1+u_y^2)u_{xx} - 2 u_x u_y y_{xy} + (1+u_x^2) u_{yy} = 0\)	✗	0.032	✓	0.156
134	Nonlinear PDE’s	Rayleigh \(u_{tt} - u_{xx} = \epsilon (u_t - u_t^3)\)	✗	0.078	✓ Has RootOf	0.127
135	Nonlinear PDE’s	Sawada Kotera \(u_t + 45 u^2 u_x + 15 u_x u_{xx} + 15 u u_{xxx} + u_{xxxxx} = 0 \)	✓	0.085	✓	0.187
136	Nonlinear PDE’s	Sine Gordon \(\phi _{tt} - \phi _{xx} + \sin \phi = 0\)	✗	0.007	✗	0.013
137	Nonlinear PDE’s	Sinh Gordon \( u_{xt} = \sinh u\)	✗	0.007	✗	0.014
138	Nonlinear PDE’s	Sinh Poisson \(u_{xx}+u_{yy} + \sinh u=0\)	✗	0.006	✗	0.011
139	Nonlinear PDE’s	Thomas equation \( u_{xy} + \alpha u_x + \beta u_y+ \nu u_x u_y =0\)	✗	0.06	✓	0.339
140	Nonlinear PDE’s	phi equation \(\phi _{tt} - \phi _{xx} - \phi + \phi ^3 = 0\)	✓	0.043	✓	0.472
141	more miscellaneous	\(S S_{xy} + S_x S_y = 1\)	✗	0.031	✓	0.023
142	more miscellaneous	\(u_{rr} + u_{\theta \theta } = 0\)	✗	0.012	✓	0.513
143	more miscellaneous	\( u_{xx} + y u_{yy} = 0\)	✓	3.551	✓	2.448
144	more miscellaneous	\(u_t + u_{xxx} = 0\)	✗	0.413	✓	5.663
145	more miscellaneous	\(u_{xy} = \sin (x) \sin (y) \)	✗	0.271	✓	0.426
146	more miscellaneous	\(w_t = w_{x_1 x_1} + w_{x_2 x_2} + w_{x_3 x_3}\)	✗	0.003	✓	0.621
147	more miscellaneous	Linear PDE, initial conditions at \(t=t_0\)	✗	0.003	✓	0.616
148	more miscellaneous	second order in time, Linear PDE, initial conditions at \(t=t_0\)	✗	0.003	✓	2.179
149	more miscellaneous	Einstein-Weiner \(u_t = -\beta u_x + D u_{xx}\)	✗	0.004	✓	0.194
150	more miscellaneous	Using integral transforms. \({x}^{2}{\frac {\partial ^{2}}{\partial {x}^{2}}}u \left ( x,y \right ) +x{\frac {\partial }{\partial x}}u \left ( x,y \right ) +{\frac {\partial ^{2}}{\partial {y}^{2}}}u \left ( x,y \right ) =0\)	✗	0.982	✓	2.129

Parabolic PDE’s (Diffusion)

Table 1.13: Parabolic PDE’s (Diffusion) breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
151	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	General initial conditions	✓	30.383	✓	1.527	Yes
152	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Specific initial condition	✓	8.837	✓	0.577	Yes	Yes
153	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC \(u=x(1-x)\)	✓	14.949	✓	0.467	Yes	Yes
154	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (a)	✓	0.416	✓	2.448	Yes
155	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC hat function	✓	18.465	✓	1.688	Yes	Yes
156	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (b)	✓	1.109	✓	2.759	Yes
157	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (c)	✓ but \(n=3\) should be special case	0.886	✓ handled \(n=3\) case correctly.	5.885	Yes
158	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (d)	✓	0.817	✓	2.198	Yes
159	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✗	8.409	✓	0.643	Yes
160	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✗	10.344	✓	0.562	Yes	Yes
161	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (general case)	✗	31.709	✓	1.676	Yes
162	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (special case)	✓	30.659	✓	1.392	Yes	Yes
163	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (general case)	✗	2.272	✓	2.266	Yes
164	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (special case)	✓	33.479	✓	7.534	Yes	Yes
165	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Math 4567 Exam	✓	18.088	✓	1.585	Yes
166	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	With source	✗	1.951	✓	4.825
167	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	special initial condition	✓	2.705	✗ (Timed out)	600.	Yes
168	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction and Euler-Cauchy Sturm-Liouville	✗	1.185	✓	2.078
169	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Using growth form reaction term	✗	21.792	✓	0.531	Yes
170	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using logistic form for reaction term	✗	1.614	✗	3.782
171	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using Aleee form for reaction term	✗	2.769	✗	5.574
172	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Haberman 2.3.8	✗	1.249	✓	1.476	Yes
173	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✗	1.033	✓	1.533	Yes
174	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	0.65	✓	1.031
175	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✗	40.533	✓	0.819
176	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (general case)	✗	1.257	✗	3.387	Yes
177	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (special case)	✗	31.408	✗ (Timed out)	600.	Yes	Yes
178	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.2 (general case)	✓	0.366	✓	1.772	Yes
179	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Left end zero, right end insulated, no source	✓	0.324	✓	1.086	Yes
180	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	One end insulated	✓	30.734	✓	1.54
181	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.7 (general case)	✓	0.402	✓	1.166	Yes
182	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	specific case	✓	6.115	✓	0.694	Yes	Yes
183	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (a)	✓	0.549	✓	3.674
184	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Both ends insulated, no source	✓	13.565	✓	1.255	Yes
185	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (b) (special case)	✓	0.562	✓	3.112	Yes
186	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (c) (special case)	✓	0.846	✓	6.312	Yes
187	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (d)	✓	0.391	✓	2.8
188	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	both ends insulated	✗	19.042	✓	3.996
189	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✗	30.572	✓	0.796
190	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.25	✗	0.989	✓	7.672
191	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	external source	✗	0.527	✓	18.664
192	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction (general case)	✗	28.869	✓	0.726	Yes	Yes
193	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.23	✓	1.329	✓	26.237
194	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.21	✓	0.374	✓	2.572
195	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Euler-Cauchy Sturm-Liouville	✗	1.665	✗ (Timed out)	600.	Yes
196	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✗	31.058	✓	1.952	Yes
197	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Mixed BC	✗	1.006	✓	3.45
198	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 8.2.1 (f)	✗	0.52	✓	3.463
199	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (general case)	✓	2.295	✓	2.016	Yes
200	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (special case)	✓	5.676	✓	1.126	Yes	Yes
201	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (general case)	✓	32.608	✓	0.957	Yes
202	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (special case)	✓	0.009	✓	2.862	Yes
203	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC, special case	✓	10.052	✓	2.355	Yes	Yes
204	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	convection heat loss	✗	12.542	✗ (Timed out)	600.	Yes
205	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	0.397	✓	5.377
206	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	6.798	✓	1.171
207	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	31.601	✓	9.329	Yes
208	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (general case)	✗	0.49	✓	5.963	Yes
209	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✗	14.632	✓	6.313	Yes	Yes
210	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✗	18.619	✓	4.6	Yes	Yes
211	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	Haberman 8.3.6 (special case)	✗	30.966	✓	16.03	Yes	Yes
212	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	BC depends on time (special case)	✓	7.153	✓	5.204
213	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). IC given	✗	0.492	✓	5.799
214	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). No IC given	✗	0.007	✓	2.203	Yes
215	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). Damped heat PDE. No IC given	✗	0.007	✓	2.229	Yes
216	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends non-homogeneous BC (general case)	✓	31.519	✓	3.014	Yes
217	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	non-homogeneous BC (special case)	✓	19.58	✓	1.43	Yes
218	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.1 (special case)	✓	19.845	✓	1.498	Yes
219	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (general case)	✗	31.438	✓	3.576	Yes
220	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (special case)	✗	30.815	✓	2.017	Yes	Yes
221	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space and time only (general case)	✗	1.307	✓	6.288	Yes
222	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (general case)	✗	8.714	✓	17.586	Yes
223	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (special case)	✓	35.85	✓	13.062	Yes	Yes
224	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends nonhomogeneous	✗	30.804	✓	11.831	Yes
225	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (a) (general case)	✗	0.991	✓	3.046	Yes
226	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (d) (general solution)	✗	31.075	✓	1.733	Yes
227	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on space only (general solution)	✗	1.194	✗ (Timed out)	600.	Yes
228	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on space only (special case)	✗	30.834	✓	5.136	Yes	Yes
229	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on time and space (general solution)	✗	1.318	✓	2.434	Yes
230	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source present (special case)	✗	30.968	✓	7.	Yes	Yes
231	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Pinchover and Rubinstein 6.17	✗	1.967	✓	1.941
232	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	nonhomogeneous BC	✗	30.863	✓	4.252
233	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.2. (a)	✗	0.607	✓	3.23	Yes
234	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.3	✗	31.014	✓	7.222
235	Diffusion in 1D Semi-infinite domain	left end constant (general case)	✓	390.937	✓	0.439	Yes
236	Diffusion in 1D Semi-infinite domain	left end constant (special case)	✓ It fail if assumption \(x>0\) is given. A bug	13.432	✓	0.925	Yes	Yes
237	Diffusion in 1D Semi-infinite domain	Logan p. 76. Left end general function of time (general case)	✓	0.56	✓	1.139	Yes
238	Diffusion in 1D Semi-infinite domain	Left end function of time (special case)	✓	133.902	✓	1.431	Yes	Yes
239	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	390.726	✓	0.51
240	Diffusion in 1D Semi-infinite domain	I.C. not zero	✗ due to IC/BC not zero	0.008	✓	0.599
241	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	394.948	✓	0.55
242	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	38.713	✓	1.905
243	Diffusion in 1D Semi-infinite domain	nonhomogeneous B.C.	✓	3.438	✓	0.99
244	Diffusion in 1D Semi-infinite domain	Unit triangle I.C.	✓	29.149	✓	0.792
245	Diffusion in 1D Semi-infinite domain	I.C. not at \(t=0\)	✗	0.008	✓	0.596
246	Diffusion in 1D Semi-infinite domain	Diffusion with advection	✗	0.828	✓	1.413
247	Diffusion in 1D Semi-infinite domain	Practice exam problem	✓	26.449	✓	0.8
248	Diffusion in 1D Infinite domain	Inverse exponential I.C.	✓	1.542	✓	0.857	Yes
249	Diffusion in 1D Infinite domain	Advection term	✓	0.51	✓	0.824
250	Diffusion in 1D Infinite domain	UnitBox I.C.	✓	1.974	✓	1.225
251	Diffusion in 1D Infinite domain	No source	✓	0.211	✓	1.515
252	Diffusion in 1D Infinite domain	constant as source	✓	7.7	✓	1.086
253	Diffusion in 1D Infinite domain	No intial conditions	✗	0.002	✓	0.109	Yes
254	Diffusion in 1D Infinite domain	piecewise I.C.	✗ due to i.c. not at zero	0.011	✓	0.815	Yes
255	Diffusion in 1D Infinite domain	Practice exam problem	✓	0.008	✓	0.304
256	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	No source	✗	0.003	✓	1.75
257	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Internal source term	✗	0.004	✓	1.602
258	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Articolo 6.6.3	✗	0.003	✓	3.749
259	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (General solution)	✗	2.378	✓ Cant get series solution	15.478	Yes
260	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (Specific solution)	✗	1.88	✓ Do not understand Maple solution	6.748	Yes	Yes
261	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✗	2.27	✓	1.276
262	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	0.914	✓	0.312
263	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.3.5 (General solution)	✗	2.176	✓	1.565	Yes
264	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✗	1.734	✓	1.463	Yes	Yes
265	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✗	1.74	✗	1.765	Yes	Yes
266	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.1	✗	0.004	✗	1.387
267	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.2	✗	0.004	✓	6.82
268	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.2.5 with \(\theta \) dependency (General case)	✗	0.004	✗	0.515	Yes
269	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (Specific example)	✗	0.004	✗	1.213	Yes	Yes
270	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (specific example)	✗	0.004	✗	1.144	Yes	Yes
271	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (General solution)	✗	0.004	✗	2.447	Yes
272	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✗	0.004	✗	2.788	Yes	Yes
273	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✗	0.004	✗	2.141	Yes	Yes
274	Diffusion in 3D Spherical coordinates	No angle dependencies	✗	2.195	✓ Has unresolved Laplace integrals	1.151
275	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (a)	✗	0.004	✓	11.908	Yes	Yes
276	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (b)	✗	0.003	✗	6.707	Yes	Yes
277	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (c)	✗	0.003	✗	6.136
278	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (a)	✗	0.004	✗	1.939
279	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (b)	✗	0.003	✗	2.63
280	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (c)	✗	0.004	✗	1.612

Elliptic PDE’s (Laplace, Poisson, Helmholtz)

Table 1.14: Elliptic PDE’s (Laplace, Poisson, Helmholtz) breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
281	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge not	✓	0.246	✓	20.454	Yes
282	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, right edge not	✓	0.713	✓	1.493	Yes
283	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge has impulse	✓	2.681	✓	13.09	Yes
284	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (a)	✓	0.198	✓	15.391
285	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (b)	✓	0.192	✓	18.329
286	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (c)	✗	0.405	✓	22.601
287	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (d)	✗	0.403	✓	16.85
288	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (e)	✗	0.796	✓	22.019	Yes
289	Laplace in 2D Cartesian coordinates	Unit triangle B.C.	✓	2.267	✓	3.069
290	Laplace in 2D Cartesian coordinates	Top edge at infinity	✗	2.308	✓	1.489	Yes
291	Laplace in 2D Cartesian coordinates	Top edge at infinity	✗	2.32	✓	1.616	Yes
292	Laplace in 2D Cartesian coordinates	Right edge at infinity	✗	2.313	✓	1.476	Yes
293	Laplace in 2D Cartesian coordinates	Right edge at infinity	✗	0.783	✓	9.34	Yes
294	Laplace in 2D Cartesian coordinates	Right edge at infinity	✗	2.258	✓	11.718
295	Laplace in 2D Cartesian coordinates	Laplace PDE in 2D Cartessian with boundary condition as Dirac function	✓	0.045	✓	1.641
296	Laplace in 2D Cartesian coordinates	One side homogeneous	✓	0.585	✓	18.027
297	Laplace in 2D Cartesian coordinates	In right half plane	✓	19.451	✓	1.513
298	Laplace in 2D Cartesian coordinates	Right edge at infinity	✗	0.829	✓	6.872
299	Laplace in 2D Cartesian coordinates	Dirichlet problem Upper half	✓	0.94	✓	1.91
300	Laplace in 2D Cartesian coordinates	Right half-plane	✓	20.57	✓	1.968
301	Laplace in 2D Cartesian coordinates	First quadrant	✓	15.696	✗	18.134
302	Laplace in 2D Cartesian coordinates	Neumann problem upper half-plane	✓	5.249	✓ used convert(sol,Int).	3.617
303	Laplace in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	1.257	✓	1.789
304	Laplace in 2D Cartesian coordinates	Strip in upper half	✗	0.369	✓	3.974
305	Laplace in 2D Cartesian coordinates	in Rectangle, right edge at infinity	✗	0.83	✓	7.553
306	Laplace in 2D Polar coordinates	Laplace PDE inside quarter disk, Neumann BC at edge	✗	2.091	✓	0.992
307	Laplace in 2D Polar coordinates	\(r=4\) and \(u=x^4\) at boundary of disk	✓	149.331	✓	5.08	Yes
308	Laplace in 2D Polar coordinates	\(r=1\) and \(u_r=x\) at boundary of disk	✗	0.016	✗	0.339	Yes
309	Laplace in 2D Polar coordinates	Laplace inside disk. General solution	✓	0.134	✓	1.492
310	Laplace in 2D Polar coordinates	Laplace inside disk. Specific boundary conditions	✗	0.041	✓	1.51	Yes
311	Laplace in 2D Polar coordinates	Haberman 2.5.5 (c)	✗	2.194	✓	0.695	Yes
312	Laplace in 2D Polar coordinates	semi-circle	✗	2.064	✓	0.67
313	Laplace in 2D Polar coordinates	Haberman 2.5.8 (b)	✗	0.011	✓ But has unresolved Invfourier and Fourier calls	35.961	Yes
314	Laplace in 2D Polar coordinates	Circular annulus	✓	2.316	✓	3.298
315	Laplace in 2D Polar coordinates	Outside a disk	✗	0.008	✓	2.042
316	Laplace in 2D Polar coordinates	Outside a disk	✗	0.038	✓	1.556	Yes
317	Laplace in 3D Spherical coordinates	In a sphere	✗	0.021	✓	1.758
318	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (a)	✗	0.003	✗	1.592
319	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (b)	✗	0.003	✗	1.779
320	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (c)	✗	0.003	✗	1.819
321	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (d)	✗	0.003	✗	1.919
322	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (e)	✗	0.003	✗	1.862
323	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (a)	✗	0.003	✗	2.144
324	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (b)	✗	0.003	✗	7.48
325	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (c)	✗	0.003	✗	9.012
326	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (d)	✗	0.003	✗	1.993
327	Poisson in 2D Cartesian coordinates	All boundaries at zero	✗	0.01	✗	23.384	Yes
328	Poisson in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	0.211	✓	0.745
329	Poisson in 2D Cartesian coordinates	Poisson PDE in whole 2D plane	✗	0.02	✓	0.02	Yes
330	Helmholtz in 2D Cartesian coordinates	In rectangle	✓	2.593	✓	4.516
331	Helmholtz in 2D Cartesian coordinates	On whole plane	✗ why? It solved earlier with BC?	0.004	✓	0.039
332	Helmholtz in 2D Cartesian coordinates	Reduced Helmholtz Inside square	✗	1.134	✓	20.8
333	Helmholtz in 3D Spherical coordinates	Chain reaction PDE	✗	0.036	✗ trivial solution	2.122	Yes

Hyperbolic PDE’s (Wave)

Table 1.15: Hyperbolic PDE’s (Wave) breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
334	Wave PDE in 1D Finite length string	General solution for both ends fixed. Domain is \(0\dots L\)	✗ Surprising it could not solve this standard wave PDE on string	5.788	✓	5.997	Yes
335	Wave PDE in 1D Finite length string	both ends fixed, inital position zero (special case)	✓	31.082	✓	1.97	Yes	Yes
336	Wave PDE in 1D Finite length string	both ends fixed, inital velocity zero (special case)	✓	31.042	✓	1.723	Yes	Yes
337	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-\pi \dots \pi \). zero intial position, non zero initial velocity	✗	51.161	✓	15.36	Yes	Yes
338	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-1 \dots 1\). intial position is an impulse, zero initial velocity	✗	5.785	✓	1.727	Yes
339	Wave PDE in 1D Finite length string	Logan book, page 28. Both ends fixed	✗	0.422	✓	0.375
340	Wave PDE in 1D Finite length string	non-zero initial velocity. Both ends fixed	✗	27.558	✓	1.625
341	Wave PDE in 1D Finite length string	Logan book page 149)	✗	1.244	✓	2.446
342	Wave PDE in 1D Finite length string	Haberman 8.5.2 (a)	✗	1.242	✓	10.801
343	Wave PDE in 1D Finite length string	Haberman 8.5.2 (b)	✗	1.541	✓	7.278	Yes
344	Wave PDE in 1D Finite length string	Both I.C. not zero	✓	40.463	✓	2.398
345	Wave PDE in 1D Finite length string	With constant source	✗	0.965	✓	6.548
346	Wave PDE in 1D Finite length string	Logan page 213	✗	0.915	✓	4.085
347	Wave PDE in 1D Finite length string	Telegraphy PDE	✗	31.304	✓ But \(n = 1\) should not be included.	3.083
348	Wave PDE in 1D Finite length string	Dispersion term present (general case)	✗ Due to adding dispersion term	1.252	✓	4.715	Yes
349	Wave PDE in 1D Finite length string	Dispersion term present	✗ Due to adding dispersion term	31.593	✓	20.208	Yes
350	Wave PDE in 1D Finite length string	Dispersion term present (specific case)	✗ Due to adding dispersion term	31.468	✓	3.76	Yes	Yes
351	Wave PDE in 1D Finite length string	non-zero initial position	✓ But sum should not include \(n=2\)	31.137	✓ Handled \(n=2\) case correctly	9.71
352	Wave PDE in 1D Finite length string	With source	✗	30.99	✓	10.826
353	Wave PDE in 1D Finite length string	Right end free (general case)	✗	0.969	✓	7.717	Yes
354	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (general case)	✗	0.967	✓	5.08	Yes
355	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (special case)	✗	33.775	✓	2.87	Yes	Yes
356	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (general case)	✗	1.28	✓	6.279	Yes
357	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, underdamped)	✗	49.27	✓	5.674	Yes	Yes
358	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, critical damped)	✗	48.952	✓	5.414	Yes	Yes
359	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, over damped)	✗	49.823	✓	4.132	Yes	Yes
360	Wave PDE in 1D Finite length string	I.C. at different times, right end free, with source	✗	1.153	✓	54.131	Yes
361	Wave PDE in 1D Finite length string	Right end oscillates	✗	30.978	✓	11.337
362	Wave PDE in 1D Finite length string	Perioidic B.C.	✗	7.439	✗	2.564
363	Wave PDE in 1D Finite length string	Mixed B.C.	✗	21.322	✗	3.43
364	Wave PDE in 1D Finite length string	Left end fixed, right end non-homogeneous Neumann BC. Zero initial conditions	✗	0.963	✓	4.239	Yes	Yes
365	Wave PDE in 1D Semi-infinite domain	Left end fixed, (general case)	✓	2.14	✗	3.623	Yes
366	Wave PDE in 1D Semi-infinite domain	Left end fixed with specific initial position	✓	22.917	✓	3.145	Yes
367	Wave PDE in 1D Semi-infinite domain	Logan page 115, left end fixed with source	✓	0.183	✓	2.443
368	Wave PDE in 1D Semi-infinite domain	Left moving boundary condition	✓	7.585	✓	2.458
369	Wave PDE in 1D Semi-infinite domain	moving Left end	✓	17.273	✓	1.045
370	Wave PDE in 1D Semi-infinite domain	I.C. at \(t=1\)	✓	0.01	✓	0.33
371	Wave PDE in 1D Semi-infinite domain	B.C. at \(x=1\)	✗	10.107	✓	0.543
372	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (general solution)	✗	2.494	✓	0.341
373	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (Special solution)	✓	3.478	✓	0.713	Yes	Yes
374	Wave PDE in 1D Semi-infinite domain	Left end fixed. zero initial velocity (Special solution)	✓	2.6	✓	0.536	Yes	Yes
375	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial position (general solution)	✗	2.75	✓	0.369
376	Wave PDE in 1D Semi-infinite domain	Left end free. Non zero initial position and velocity (general solution)	✗	3.196	✓	0.321
377	Wave PDE in 1D Semi-infinite domain	Left end free with source	✓	0.182	✓	0.246
378	Wave PDE in 1D Infinite domain	General case. \(u_{tt} = u_{xx}\) with \(u(x,0)=f(x),u_t(x,0)=g(x)\)	✓	0.062	✓	0.056
379	Wave PDE in 1D Infinite domain	General case. No IC given. \(u_{tt} + u_{xt} = c^2 u_{xx}\)	✓	0.005	✓	0.195
380	Wave PDE in 1D Infinite domain	\(u_{tt}= c^2 u_{xx} + f(x,t)\), IC at \(t=1\),\(u(x,1) = g(x),u_t(x,1)=h(x)\)	✗	0.008	✓	1.505
381	Wave PDE in 1D Infinite domain	No source. \(u_{tt} = u_{xx}\), with \(u(x,0) =e^{-x^2},u_t(x,0)=1\)	✓	0.048	✓	0.084
382	Wave PDE in 1D Infinite domain	With source term. \(u_{tt} = u_{xx} + m\)	✓	0.01	✓	0.105
383	Wave PDE in 1D Infinite domain	non-linear (Solitons) \(u_t +6 u(x,t) u_x + u_{xxx} = 0\)	✓	0.03	✓	0.166	Yes	Yes
384	Wave PDE in 1D Infinite domain	Inhomogeneous PDE \(3 u_{xx}- u_{tt} + u_{xt}=1\)	✓	0.003	✓	0.105
385	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.074	✓	0.086
386	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.031	✓	0.056
387	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	24.937	✓	0.132
388	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.075	✓	0.197	Yes	Yes
389	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.078	✓	0.316	Yes	Yes
390	Wave PDE in 1D Infinite domain	General case \(u_{tt} = u_{xx}\) with \(u(x,0)=\sin x, u_t(x,0)=-2 x e^{-x^2}\)	✓	0.134	✓	0.087
391	Wave PDE in 1D Infinite domain	General case. \(u_{tt} =u_{xx}\) dAlembert solution, box function as initial position	✓	0.032	✓	0.118	Yes	Yes
392	Wave PDE in 1D Infinite domain	\(u_{tt}=4 u_{xx}+ \cos (t)\) dAlembert solution with \(u(x,0)=\sin x,u_t(x,0)=\cos x\)	✓	0.095	✓	0.116	Yes	Yes
393	Wave PDE in 1D Infinite domain	\(u_{tt}=c^2 u_{xx}\) dAlembert solution with \(u(x,0)=\delta (x-a),u_t(x,0)=0\)	✗	35.84	✓	0.06	Yes
394	Wave PDE in 1D Infinite domain	system of 2 inhomogeneous linear hyperbolic system with constant coefficients	✓	0.279	✗	0.359
395	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, General solution	✗	0.028	✓	184.836	Yes
396	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, zero velocity. Specific example	✗	0.023	✓	2.036	Yes	Yes
397	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example	✓	5.053	✓	12.351	Yes	Yes
398	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example, delta in center	✓	1.229	✓	10.169	Yes	Yes
399	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed	✓	0.997	✓	5.191
400	Wave PDE in 2D Cartesian coordinates	All edges fixed (Haberman 8.5.5 (a)	✗	0.003	✗	2.079
401	Wave PDE in 2D Cartesian coordinates	2 edgs fixed, 2 free, zero initial velocity	✗	0.003	✓	9.615
402	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, general solution	✓	0.1	✗ (Timed out)	600.	Yes
403	Wave PDE in 2D Cartesian coordinates	With damping	✗	0.003	✓	18.699
404	Wave PDE in 2D Cartesian coordinates	On the whole plane	✓	0.104	✗	0.086
405	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency, fixed boundary, general case	✓	0.723	✓ Has unresolved Invlaplace calls	0.785	Yes
406	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	31.224	✓ Has unresolved Invlaplace calls	42.668
407	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	31.077	✓ Has unresolved Invlaplace calls. How to get series solution?	6.716	Yes	Yes
408	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	1.772	✓	10.237
409	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	1.954	✓	3.56
410	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, general solution	✗	0.004	✗	1.901	Yes
411	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, general solution	✗	0.004	✗	4.776	Yes
412	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, specific example	✗	0.004	✗	1.127	Yes	Yes
413	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position, specific example	✗	0.005	✗	1.689	Yes	Yes
414	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position with internal source (Haberman 8.5.5. (b)	✗	0.027	✗	0.398	Yes
415	Wave PDE in 3D Spherical coordinates	No I.C. no B.C.	✗	0.031	✓	3.537
416	Wave PDE in 3D Cylindrical coordinates	No I.C. no B.C.	✗	0.003	✓	0.268

Handbook of first order partial differential equations

Table 1.16: Handbook of first order partial differential equations breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
417	chapter 1	problem number 1	✓	0.005	✓	0.046
418	chapter 1	problem number 2	✓	0.003	✓	0.004
419	chapter 1	problem number 3	✓	0.008	✓	0.004	Yes
420	chapter 1	problem number 4	✓	0.006	✓	0.003
421	chapter 1	problem number 5	✓	0.022	✓	0.017	Yes
422	chapter 1	problem number 6	✓	0.021	✓	0.012
423	chapter 2 2.1	problem number 1	✓	0.004	✓	0.024	Yes
424	chapter 2 2.1	problem number 2	✓	0.005	✓	0.027	Yes
425	chapter 2 2.1	problem number 3	✓	0.037	✓	0.033	Yes
426	chapter 2 2.1	problem number 4	✓	0.009	✓	0.029	Yes
427	chapter 2 2.1	problem number 5	✓	0.012	✓	0.128	Yes
428	chapter 2 2.1	problem number 6	✓	0.03	✓	0.145	Yes
429	chapter 2 2.1	problem number 7	✓	0.026	✓	1.447	Yes
430	chapter 2 2.1	problem number 8	✗	1.783	✓	2.075
431	chapter 2 2.2	problem number 1	✓	0.005	✓	0.008
432	chapter 2 2.2	problem number 2	✓	0.171	✓	0.185
433	chapter 2 2.2	problem number 3	✓	0.084	✓	0.019
434	chapter 2 2.2	problem number 4	✓	0.249	✓	0.135
435	chapter 2 2.2	problem number 5	✓	0.152	✓	0.181
436	chapter 2 2.2	problem number 6	✓	0.139	✓	0.102
437	chapter 2 2.2	problem number 7	✓	0.144	✓	0.206
438	chapter 2 2.2	problem number 8	✓	0.162	✓	0.191
439	chapter 2 2.2	problem number 9	✓	0.238	✓	0.405
440	chapter 2 2.2	problem number 10	✓	0.145	✓	0.182
441	chapter 2 2.2	problem number 11	✓	0.264	✓	0.106
442	chapter 2 2.2	problem number 12	✓	0.578	✓	0.439
443	chapter 2 2.2	problem number 13	✓	0.122	✓	0.036
444	chapter 2 2.2	problem number 14	✓	0.242	✓	0.274
445	chapter 2 2.2	problem number 15	✓	0.537	✓	0.302
446	chapter 2 2.2	problem number 16	✓	1.094	✓	0.225
447	chapter 2 2.2	problem number 17	✓	0.868	✓	0.408
448	chapter 2 2.2	problem number 18	✓	0.245	✓	0.07
449	chapter 2 2.2	problem number 19	✓	0.261	✓	0.194
450	chapter 2 2.2	problem number 20	✗	0.176	✓	0.37
451	chapter 2 2.2	problem number 21	✓	0.158	✓	0.198
452	chapter 2 2.2	problem number 22	✓	0.356	✓	0.638
453	chapter 2 2.2	problem number 23	✓	0.416	✓	0.313
454	chapter 2 2.2	problem number 24	✗	0.278	✓	0.244
455	chapter 2 2.2	problem number 25	✗ (Timed out)	600.	✗ (Timed out)	600.
456	chapter 2 2.2	problem number 26	✗ (Timed out)	600.	✗	33.256
457	chapter 2 2.2	problem number 27	✗	101.682	✗	1.896
458	chapter 2 2.2	problem number 28	✗	0.495	✓ solution contains RootOf	0.147
459	chapter 2 2.2	problem number 29	✗	101.287	✗	1.356
460	chapter 2 2.2	problem number 30	✗	0.237	✓	0.24
461	chapter 2 2.2	problem number 31, Hesse’s equation	✗	235.141	✓	10.764
462	chapter 2 2.3	problem number 1	✗ But it can’t solve it when assuming \(b>0\) which is strange.	40.89	✓	1.633
463	chapter 2 2.3	problem number 2	✓	0.055	✓	0.178
464	chapter 2 2.3	problem number 3	✓	0.147	✓	0.906
465	chapter 2 2.3	problem number 4	✗	0.177	✓	1.41
466	chapter 2 2.3	problem number 5	✗	0.56	✓ Answer contains RootOf	0.155
467	chapter 2 2.3	problem number 6	✗	0.209	✓ Answer contains RootOf	0.067
468	chapter 2 2.3	problem number 7	✓	0.178	✓	0.174
469	chapter 2 2.3	problem number 8	✓	0.216	✓	0.066
470	chapter 2 2.3	problem number 9	✗ (Timed out)	600.	✓	0.049
471	chapter 2 2.4	problem number 1	✓	0.021	✓	0.019
472	chapter 2 2.4	problem number 2	✓	0.2	✓	0.292
473	chapter 2 2.4	problem number 3	✓	0.159	✓	0.27
474	chapter 2 2.4	problem number 4	✓	0.404	✓	1.785
475	chapter 2 2.4	problem number 5	✗	0.378	✗ (Timed out)	600.
476	chapter 2 2.4	problem number 6	✓	1.831	✓	0.602
477	chapter 2 2.4	problem number 7	✗	1.475	✓	2.763
478	chapter 2 2.5	problem number 1	✓	0.033	✓	0.144
479	chapter 2 2.5	problem number 2	✓	0.088	✓	0.391
480	chapter 2 2.5	problem number 3	✓	0.145	✓	0.121
481	chapter 2 2.5	problem number 4	✗	19.304	✓	1.388
482	chapter 2 2.5	problem number 5	✓	0.843	✓	0.337
483	chapter 2 2.5	problem number 6	✗	1.608	✓	2.421
484	chapter 2 2.5	problem number 7	✓	0.281	✓	0.178
485	chapter 2 2.5	problem number 8	✗	23.048	✓	3.361
486	chapter 2 2.5	problem number 9	✗	1.003	✓	5.981
487	chapter 2 2.5	problem number 10	✗	2.786	✓	5.621
488	chapter 2 2.5	problem number 11	✗	25.413	✗	6.672
489	chapter 2 2.5	problem number 12	✗	24.817	✗	4.644
490	chapter 2 2.5	problem number 13	✗	30.598	✗	11.477
491	chapter 2 2.5	problem number 14	✗	0.306	✓ Solution contains RootOf	0.203
492	chapter 2 2.5	problem number 15	✓	0.57	✓	1.872
493	chapter 2 2.5	problem number 16	✗	75.248	✗	41.957
494	chapter 2 2.5	problem number 17	✗	0.247	✓	1.19
495	chapter 2 2.5	problem number 18	✗	0.531	✓	1.29
496	chapter 2 2.5	problem number 19	✓	0.322	✓	1.403
497	chapter 2 2.5	problem number 20	✓	0.238	✓	0.325
498	chapter 2 2.5	problem number 21	✓	0.54	✓	0.332
499	chapter 2 2.5	problem number 22	✓	0.38	✓	0.18
500	chapter 2 2.5	problem number 23	✗	26.529	✓	0.188
501	chapter 2 2.5	problem number 24	✓	0.281	✓	0.127
502	chapter 2 2.5	problem number 25	✓	0.501	✓	0.095
503	chapter 2 2.5	problem number 26	✓	0.696	✓	0.208
504	chapter 2 2.5	problem number 27	✓	0.317	✓	0.223
505	chapter 2 2.5	problem number 28	✗	0.402	✓ Solution contains RootOf	0.169
506	chapter 2 2.5	problem number 29	✗	0.297	✓ Solution contains RootOf	0.121
507	chapter 2 2.5	problem number 30	✗	0.467	✓	3.912
508	chapter 2 2.5	problem number 31	✗	18.999	✓	1.875
509	chapter 2 2.5	problem number 32	✗ (Timed out)	600.	✗	31.325
510	chapter 2 2.5	problem number 33	✓	0.48	✓	0.4
511	chapter 2 2.5	problem number 34	✓	0.32	✓	0.168
512	chapter 2 2.5	problem number 35	✓	0.182	✓	0.246
513	chapter 2 2.5	problem number 36	✓	0.155	✓	0.372
514	chapter 2 2.5	problem number 37	✓	0.433	✓	0.74
515	chapter 2 2.5	problem number 38	✓	1.713	✓	0.468
516	chapter 2 2.5	problem number 39	✓	0.089	✓	0.352
517	chapter 2 2.5	problem number 40	✗ (Timed out)	600.	✗	28.83
518	chapter 2 2.5	problem number 41	✓	0.807	✓	0.444
519	chapter 2 2.5	problem number 42	✗	3.624	✓	1.851
520	chapter 2 2.5	problem number 43	✗	2.493	✓	4.385
521	chapter 2 2.5	problem number 44	✗	29.956	✗	20.816
522	chapter 2 2.5	problem number 45	✗	30.182	✗	30.143
523	chapter 2 2.5	problem number 46	✗	10.148	✓	13.675
524	chapter 2 2.5	problem number 47	✓	1.167	✓	0.29
525	chapter 2 2.5	problem number 48	✗	35.438	✓	0.995
526	chapter 2 2.5	problem number 49	✗	22.845	✗	15.487
527	chapter 2 2.5	problem number 50	✗	104.008	✗	80.944
528	chapter 2 2.5	problem number 51	✗	0.749	✓	2.157
529	chapter 2 2.5	problem number 52	✗	9.401	✗	3.441
530	chapter 2 2.5	problem number 53	✗	0.626	✓	1.606
531	chapter 2 2.5	problem number 54	✗	0.681	✗	3.335
532	chapter 2 2.5	problem number 55	✗	22.343	✗	10.426
533	chapter 2 2.5	problem number 56	✗	1.07	✓	2.901
534	chapter 2 3.1	problem number 1	✓	0.016	✓	0.043
535	chapter 2 3.1	problem number 2	✓	0.016	✓	0.009
536	chapter 2 3.1	problem number 3	✓	0.15	✓	1.692
537	chapter 2 3.1	problem number 4	✓	0.279	✓	1.581
538	chapter 2 3.1	problem number 5	✗	0.832	✓	0.576
539	chapter 2 3.1	problem number 6	✓	0.192	✓	0.122
540	chapter 2 3.1	problem number 7	✓	0.167	✓	0.052
541	chapter 2 3.1	problem number 8	✓	0.446	✓ Has RootOf	2.706
542	chapter 2 3.1	problem number 9	✓	0.37	✓	0.519
543	chapter 2 3.1	problem number 10	✗	0.43	✓	2.99
544	chapter 2 3.1	problem number 11	✗	2.28	✗	4.58
545	chapter 2 3.2	problem number 1	✓	0.653	✓	0.602
546	chapter 2 3.2	problem number 2	✓	0.922	✓	0.324
547	chapter 2 3.2	problem number 3	✓	0.378	✓	0.083
548	chapter 2 3.2	problem number 4	✓	0.464	✓	0.319
549	chapter 2 3.2	problem number 5	✓	0.271	✓	0.174
550	chapter 2 3.2	problem number 6	✗	22.73	✗	7.144
551	chapter 2 3.2	problem number 7	✓	0.389	✓	0.176
552	chapter 2 3.2	problem number 8	✗ kernel error generated	1.009	✓	0.106
553	chapter 2 3.2	problem number 9	✓	1.285	✓	0.79
554	chapter 2 3.2	problem number 10	✓	1.139	✓	0.787
555	chapter 2 3.2	problem number 11	✗	22.321	✓	1.029
556	chapter 2 3.2	problem number 12	✓	2.214	✓	0.227
557	chapter 2 3.2	problem number 13	✓	0.627	✓	0.123
558	chapter 2 3.2	problem number 14	✗	24.003	✗	5.753
559	chapter 2 3.2	problem number 15	✗	2.749	✓	3.872
560	chapter 2 3.2	problem number 16	✗	22.7	✗	5.244
561	chapter 2 3.2	problem number 17	✗	1.597	✓	1.378
562	chapter 2 3.2	problem number 18	✗	22.793	✗	4.512
563	chapter 2 3.2	problem number 19	✓	0.409	✓	0.211
564	chapter 2 3.2	problem number 20	✗	22.691	✗	3.74
565	chapter 2 3.2	problem number 21	✗	24.371	✗	6.644
566	chapter 2 3.2	problem number 22	✓	2.445	✓	0.321
567	chapter 2 3.2	problem number 23	✓	0.614	✓	0.25
568	chapter 2 3.2	problem number 24	✗	21.562	✗	3.527
569	chapter 2 3.2	problem number 25	✓	0.364	✓	0.212
570	chapter 2 3.2	problem number 26	✓	0.398	✓	0.236
571	chapter 2 3.2	problem number 27	✗	0.87	✓ Solution contains RootOf	0.228
572	chapter 2 3.2	problem number 28	✓	0.444	✓	0.262
573	chapter 2 3.2	problem number 29	✓	0.332	✓	0.239
574	chapter 2 3.2	problem number 30	✓	3.25	✓	0.19
575	chapter 2 3.2	problem number 31	✗	121.493	✓	10.829
576	chapter 2 3.2	problem number 32	✓	0.194	✓	0.249
577	chapter 2 3.2	problem number 33	✗	0.254	✓	0.356
578	chapter 2 3.2	problem number 34	✗	1.066	✓	7.691
579	chapter 2 3.2	problem number 35	✗	0.725	✓	3.274
580	chapter 2 3.2	problem number 36	✗	0.787	✓	5.237
581	chapter 2 4.1	problem number 1	✓	0.014	✓	0.03
582	chapter 2 4.1	problem number 2	✓	0.103	✓	0.502
583	chapter 2 4.1	problem number 3	✓	2.028	✓	3.033
584	chapter 2 4.1	problem number 4	✗	42.339	✓	0.501
585	chapter 2 4.1	problem number 5	✗	54.626	✓	3.362
586	chapter 2 4.1	problem number 6	✓	0.177	✓	0.102
587	chapter 2 4.1	problem number 7	✓	0.023	✓	0.067
588	chapter 2 4.2	problem number 1	✓	0.013	✓	0.01
589	chapter 2 4.2	problem number 2	✓	0.087	✓	0.494
590	chapter 2 4.2	problem number 3	✗	58.239	✓	3.146
591	chapter 2 4.2	problem number 4	✗	58.813	✓	4.82
592	chapter 2 4.2	problem number 5	✗	1.47	✓	2.305
593	chapter 2 4.2	problem number 6	✗	2.48	✓	6.651
594	chapter 2 4.2	problem number 7	✗	407.832	✓	1.952
595	chapter 2 4.2	problem number 8	✓	0.163	✓	0.105
596	chapter 2 4.3	problem number 1	✓	0.021	✓	0.013
597	chapter 2 4.3	problem number 2	✓	0.144	✓	0.002
598	chapter 2 4.3	problem number 3	✓	2.605	✓	1.003
599	chapter 2 4.3	problem number 4	✗	42.796	✓	2.828
600	chapter 2 4.3	problem number 5	✗	1.961	✓	2.056
601	chapter 2 4.3	problem number 6	✗	3.617	✓	4.112
602	chapter 2 4.3	problem number 7	✗	71.046	✓	4.111
603	chapter 2 4.3	problem number 8	✓	0.266	✓	0.184
604	chapter 2 4.4	problem number 1	✓	0.021	✓	0.013
605	chapter 2 4.4	problem number 2	✓	0.155	✓	1.533
606	chapter 2 4.4	problem number 3	✓	2.376	✓	0.96
607	chapter 2 4.4	problem number 4	✗	4.226	✓	0.892
608	chapter 2 4.5	problem number 1	✓	0.226	✓	0.489
609	chapter 2 4.5	problem number 2	✓	0.238	✓	0.107
610	chapter 2 4.5	problem number 3	✓	2.171	✓	0.773
611	chapter 2 4.5	problem number 4	✗	12.751	✓	5.799
612	chapter 2 4.5	problem number 5	✓	0.159	✓	0.067
613	chapter 2 4.5	problem number 6	✗	499.946	✓	3.941
614	chapter 2 5.1	problem number 1	✓	0.035	✓	0.033
615	chapter 2 5.1	problem number 3	✓	0.949	✓	0.043
616	chapter 2 5.1	problem number 4	✗	2.981	✓	0.126
617	chapter 2 5.2	problem number 1	✓	0.165	✓	0.254
618	chapter 2 5.2	problem number 2	✓	0.17	✓	0.118
619	chapter 2 5.2	problem number 3	✗	1.161	✓	0.299
620	chapter 2 5.2	problem number 4	✓	0.728	✓	0.291
621	chapter 2 5.2	problem number 5	✗	23.088	✗	2.959
622	chapter 2 5.2	problem number 6	✗	26.569	✓	1.498
623	chapter 2 5.2	problem number 7	✗	26.992	✗	5.181
624	chapter 2 5.2	problem number 8	✗	23.699	✗	2.681
625	chapter 2 5.2	problem number 9	✓	0.715	✓	0.209
626	chapter 2 5.2	problem number 10	✗	2.928	✓	1.288
627	chapter 2 5.2	problem number 11	✓	0.162	✓	0.192
628	chapter 2 5.2	problem number 12	✗	20.884	✗	1.341
629	chapter 2 5.2	problem number 13	✗	23.219	✗	2.155
630	chapter 2 5.2	problem number 14	✗	22.215	✗	1.302
631	chapter 2 5.2	problem number 15	✓	0.343	✓	0.657
632	chapter 2 5.2	problem number 16	✓	0.254	✓	0.089
633	chapter 2 5.2	problem number 17	✓	0.903	✓	0.251
634	chapter 2 5.2	problem number 18	✓	0.683	✓	0.602
635	chapter 2 5.2	problem number 19	✗	3.992	✓	1.888
636	chapter 2 5.2	problem number 20	✗	4.115	✓	1.499
637	chapter 2 5.2	problem number 21	✗	25.712	✓	0.131
638	chapter 2 5.2	problem number 22	✓	0.596	✓	0.77
639	chapter 2 5.2	problem number 23	✓	0.604	✓	0.359
640	chapter 2 6.1	problem number 1	✓	0.2	✓	0.171
641	chapter 2 6.1	problem number 2	✓ contains unresolved integral	5.732	✓ contains unresolved integral	0.734
642	chapter 2 6.1	problem number 3	✓	0.674	✓ contains unresolved integral	1.336
643	chapter 2 6.1	problem number 4	✗	10.884	✓ contains unresolved integral	1.325
644	chapter 2 6.1	problem number 5	✗	41.686	✓	5.456
645	chapter 2 6.1	problem number 6	✗	4.003	✓ contains unresolved integrals	0.348
646	chapter 2 6.1	problem number 7	✓	17.453	✓	2.97
647	chapter 2 6.1	problem number 8	✗	42.343	✓	0.46
648	chapter 2 6.1	problem number 9	✗	43.501	✓	7.778
649	chapter 2 6.1	problem number 10	✗	44.204	✓	2.832
650	chapter 2 6.1	problem number 11	✗	33.218	✗ (Timed out)	600.
651	chapter 2 6.1	problem number 12	✗	151.481	✗ (Timed out)	600.
652	chapter 2 6.1	problem number 13	✓	0.664	✓	1.466
653	chapter 2 6.1	problem number 14	✗	11.417	✓	2.158
654	chapter 2 6.2	problem number 1	✓	0.234	✓ Contains unresolved integral	0.233
655	chapter 2 6.2	problem number 2	✓	3.813	✓	0.558
656	chapter 2 6.2	problem number 3	✓	0.766	✓	1.792
657	chapter 2 6.2	problem number 4	✗	9.069	✓	0.646
658	chapter 2 6.2	problem number 5	✗	41.665	✓	2.183
659	chapter 2 6.2	problem number 6	✗	42.194	✓	0.908
660	chapter 2 6.2	problem number 7	✗	44.399	✓	2.826
661	chapter 2 6.2	problem number 8	✗	44.176	✓	2.842
662	chapter 2 6.2	problem number 9	✗	109.201	✓	2.62
663	chapter 2 6.2	problem number 10	✗	1.826	✓	3.567
664	chapter 2 6.2	problem number 11	✗	1.433	✓	7.46
665	chapter 2 6.2	problem number 12	✗	41.22	✓	3.046
666	chapter 2 6.3	problem number 1	✓	0.037	✓	0.013
667	chapter 2 6.3	problem number 2	✓	0.336	✓	0.316
668	chapter 2 6.3	problem number 3	✓	0.439	✓ Has unresolved integrals	0.562
669	chapter 2 6.3	problem number 4	✗	42.891	✓	0.823
670	chapter 2 6.3	problem number 5	✗	44.618	✓	0.835
671	chapter 2 6.3	problem number 6	✓	2.314	✓	0.903
672	chapter 2 6.3	problem number 7	✗	36.33	✗ (Timed out)	600.
673	chapter 2 6.3	problem number 8	✗	39.669	✗ (Timed out)	600.
674	chapter 2 6.3	problem number 9	✗	156.566	✗ (Timed out)	600.
675	chapter 2 6.3	problem number 10	✓	0.699	✓	0.75
676	chapter 2 6.3	problem number 11	✗	88.21	✓	15.334
677	chapter 2 6.3	problem number 12	✗	19.161	✓	2.87
678	chapter 2 6.3	problem number 13	✗	2.3	✓	2.993
679	chapter 2 6.3	problem number 14	✗	1.58	✓	7.369
680	chapter 2 6.3	problem number 15	✗	23.313	✓	2.717
681	chapter 2 6.4	problem number 1	✓	0.185	✓ Has unresolved integral	0.213
682	chapter 2 6.4	problem number 2	✓	1.823	✓	0.232
683	chapter 2 6.4	problem number 3	✗	7.76	✓	0.504
684	chapter 2 6.4	problem number 4	✗	43.091	✓	0.602
685	chapter 2 6.4	problem number 5	✗	44.665	✓	0.562
686	chapter 2 6.4	problem number 6	✓	0.555	✓	0.144
687	chapter 2 6.4	problem number 7	✓	0.521	✓	3.382
688	chapter 2 6.4	problem number 8	✓	0.497	✓	1.915
689	chapter 2 6.4	problem number 9	✓	1.836	✓	1.632
690	chapter 2 6.4	problem number 10	✓	2.031	✓	3.454
691	chapter 2 6.4	problem number 11	✓	0.502	✓	1.828
692	chapter 2 6.4	problem number 12	✗	6.905	✓	1.962
693	chapter 2 6.5	problem number 1	✓	0.67	✓ Has unresolved integrals	0.503
694	chapter 2 6.5	problem number 2	✓	1.469	✓	0.801
695	chapter 2 6.5	problem number 3	✓	0.724	✓ Mathematica answer is simpler	1.557
696	chapter 2 6.5	problem number 4	✗	24.345	✗ (Timed out)	600.
697	chapter 2 6.5	problem number 5	✗	42.832	✓	0.658
698	chapter 2 6.5	problem number 6	✗	60.432	✓	1.522
699	chapter 2 6.5	problem number 7	✗	103.222	✗ (Timed out)	600.
700	chapter 2 6.5	problem number 8	✗	25.075	✓	0.608
701	chapter 2 6.5	problem number 9	✗	23.827	✓	0.002
702	chapter 2 6.5	problem number 10	✗	2.16	✓	1.427
703	chapter 2 6.5	problem number 11	✗ (Timed out)	600.	✓	2.049
704	chapter 2 7.1	problem number 1	✓	0.091	✓	0.302
705	chapter 2 7.1	problem number 2	✓	3.009	✓	0.306
706	chapter 2 7.1	problem number 3	✗	0.525	✓	0.533
707	chapter 2 7.1	problem number 4	✓	0.127	✓	0.349
708	chapter 2 7.1	problem number 5	✗	1.582	✓	0.904
709	chapter 2 7.1	problem number 6	✓	0.457	✓	1.421
710	chapter 2 7.1	problem number 7	✗	26.726	✓	17.977
711	chapter 2 7.1	problem number 8	✗	1.261	✓	1.015
712	chapter 2 7.1	problem number 9	✗	49.84	✗	26.427
713	chapter 2 7.1	problem number 10	✗	35.632	✗	33.912
714	chapter 2 7.1	problem number 11	✓	1.806	✓	0.328
715	chapter 2 7.1	problem number 12	✓	1.046	✓	0.951
716	chapter 2 7.2	problem number 1	✓	0.093	✓	0.286
717	chapter 2 7.2	problem number 2	✓	4.708	✓	0.283
718	chapter 2 7.2	problem number 3	✗	13.117	✓	0.456
719	chapter 2 7.2	problem number 4	✓	0.288	✓	0.482
720	chapter 2 7.2	problem number 5	✗	5.295	✓	13.501
721	chapter 2 7.2	problem number 6	✗	29.185	✗	9.409
722	chapter 2 7.2	problem number 7	✗	42.68	✓	4.945
723	chapter 2 7.2	problem number 8	✗	7.153	✓	9.397
724	chapter 2 7.2	problem number 9	✗	38.4	✗	31.402
725	chapter 2 7.2	problem number 10	✗	40.447	✗	37.146
726	chapter 2 7.2	problem number 11	✓	2.08	✓	0.224
727	chapter 2 7.2	problem number 12	✓	1.231	✓	0.932
728	chapter 2 7.3	problem number 1	✓	0.593	✓	0.321
729	chapter 2 7.3	problem number 2	✓	4.104	✓	0.502
730	chapter 2 7.3	problem number 3	✗	14.834	✓	0.82
731	chapter 2 7.3	problem number 4	✓	0.423	✓	0.654
732	chapter 2 7.3	problem number 5	✗	6.547	✓	2.38
733	chapter 2 7.3	problem number 6	✓	2.186	✓	0.848
734	chapter 2 7.3	problem number 7	✗	42.72	✓	19.69
735	chapter 2 7.3	problem number 8	✓	0.232	✓	0.134
736	chapter 2 7.3	problem number 9	✗	39.241	✗	12.696
737	chapter 2 7.3	problem number 10	✗	43.327	✗	581.583
738	chapter 2 7.3	problem number 11	✓	0.946	✓	0.176
739	chapter 2 7.3	problem number 12	✓	0.865	✓	2.512
740	chapter 2 7.4	problem number 1	✓	0.679	✓	0.369
741	chapter 2 7.4	problem number 2	✓	6.881	✓	0.222
742	chapter 2 7.4	problem number 3	✗	19.408	✓	0.457
743	chapter 2 7.4	problem number 4	✓	0.463	✓	0.492
744	chapter 2 7.4	problem number 5	✗	6.783	✓	3.176
745	chapter 2 7.4	problem number 6	✓	2.287	✓	0.803
746	chapter 2 7.4	problem number 7	✗	43.558	✓	24.885
747	chapter 2 7.4	problem number 8	✗	35.706	✗	9.204
748	chapter 2 7.4	problem number 9	✗	39.843	✗	29.99
749	chapter 2 7.4	problem number 10	✗	44.273	✗	407.05
750	chapter 2 7.4	problem number 11	✓	1.014	✓	0.155
751	chapter 2 7.4	problem number 12	✓	1.141	✓	5.122
752	chapter 2 8.1	problem number 1	✓	0.07	✓	0.058
753	chapter 2 8.1	problem number 2	✓	0.251	✓	0.292
754	chapter 2 8.1	problem number 3	✗	0.524	✓	0.148
755	chapter 2 8.1	problem number 4	✓	0.238	✓	0.147
756	chapter 2 8.1	problem number 5	✗	24.421	✓	0.862
757	chapter 2 8.1	problem number 6	✗	0.786	✓	0.17
758	chapter 2 8.1	problem number 7	✗	23.627	✗	2.677
759	chapter 2 8.1	problem number 8	✗	24.357	✗	2.729
760	chapter 2 8.1	problem number 9	✗	0.815	✓	0.103
761	chapter 2 8.1	problem number 10	✗	29.583	✗	11.804
762	chapter 2 8.1	problem number 11	✗	27.919	✗	6.636
763	chapter 2 8.1	problem number 12	✓	0.268	✓	0.53
764	chapter 2 8.1	problem number 13	✓	2.348	✓	0.264
765	chapter 2 8.2	problem number 1	✓	1.063	✓	1.099
766	chapter 2 8.2	problem number 2	✗	21.824	✗	2.581
767	chapter 2 8.2	problem number 3	✗	21.942	✗	3.081
768	chapter 2 8.2	problem number 4	✓	0.307	✓	0.302
769	chapter 2 8.2	problem number 5	✗	23.57	✗	3.135
770	chapter 2 8.2	problem number 6	✗	1.161	✓	0.174
771	chapter 2 8.2	problem number 7	✗	26.774	✗	5.494
772	chapter 2 8.2	problem number 8	✗	27.56	✗	4.39
773	chapter 2 8.2	problem number 9	✗	23.671	✗	4.248
774	chapter 2 8.2	problem number 10	✓	0.34	✓	2.974
775	chapter 2 8.2	problem number 11	✗	0.312	✓	0.479
776	chapter 2 8.3	problem number 1	✗	27.252	✗	15.145
777	chapter 2 8.3	problem number 2	✗	30.592	✗	30.124
778	chapter 2 8.3	problem number 3	✗	30.266	✗	14.388
779	chapter 2 8.4	problem number 1	✗	21.878	✓	1.293
780	chapter 2 8.4	problem number 2	✗	21.154	✗	2.368
781	chapter 2 8.4	problem number 3	✗	21.173	✗	1.308
782	chapter 2 8.4	problem number 4	✓	0.179	✓	0.055
783	chapter 2 8.5	problem number 1	✗	26.653	✓	3.098
784	chapter 2 8.5	problem number 2	✗	26.508	✗	25.473
785	chapter 2 8.5	problem number 3	✗	26.351	✗	11.348
786	chapter 2 8.5	problem number 4	✗	29.271	✗	32.644
787	chapter 2 8.5	problem number 5	✗	29.53	✗	19.657
788	chapter 2 8.6	problem number 1	✗	20.742	✗	2.173
789	chapter 2 8.6	problem number 2	✗	20.83	✓	0.526
790	chapter 2 8.6	problem number 3	✓	0.139	✓	0.034
791	chapter 2 8.6	problem number 4	✗	0.385	✓	0.306
792	chapter 2 8.6	problem number 5	✗	21.126	✗	1.463
793	chapter 2 8.6	problem number 6	✗	0.258	✓	0.059
794	chapter 2 8.6	problem number 7	✗	0.33	✓	0.173
795	chapter 2 8.6	problem number 8	✓	0.253	✓	0.21
796	chapter 2 8.6	problem number 9	✗	0.658	✓	0.194
797	chapter 2 8.6	problem number 10	✗	1.666	✓	0.243
798	chapter 2 8.6	problem number 11	✓	0.374	✓	0.272
799	chapter 2 8.6	problem number 12	✗	22.469	✓	1.032
800	chapter 2 9.1	problem number 1	✓	0.065	✓	0.023
801	chapter 2 9.1	problem number 2	✗	0.128	✓	0.118
802	chapter 2 9.1	problem number 3	✗	0.402	✓	0.596
803	chapter 2 9.1	problem number 4	✗	0.772	✗	1.948
804	chapter 2 9.1	problem number 5	✗	2.818	✗	2.895
805	chapter 2 9.2	problem number 1	✗	0.196	✓	0.065
806	chapter 2 9.2	problem number 2	✗	0.055	✓	0.108
807	chapter 2 9.2	problem number 3	✗	0.383	✓	0.281
808	chapter 2 9.2	problem number 4	✗	0.263	✓	0.32
809	chapter 2 9.2	problem number 5	✗	0.557	✗	6.869
810	chapter 2 9.2	problem number 6	✗	0.309	✓	0.149
811	chapter 2 9.2	problem number 7	✗	0.46	✓	0.265
812	chapter 2 9.2	problem number 8	✗	0.217	✓	0.316
813	chapter 2 9.2	problem number 9	✗	0.285	✓	0.338
814	chapter 2 9.2	problem number 10	✗	0.563	✓	1.596
815	chapter 2 9.2	problem number 11	✗	0.343	✓	0.437
816	chapter 2 9.2	problem number 12	✗	1.581	✗	3.054
817	chapter 2 9.2	problem number 13	✗	2.278	✗	2.766
818	chapter 2 9.2	problem number 14	✗	0.778	✓	0.492
819	chapter 2 9.2	problem number 15	✗	0.295	✓	0.559
820	chapter 2 9.2	problem number 16	✗	0.426	✓	0.313
821	chapter 2 9.3	problem number 1	✗	5.696	✓	10.962
822	chapter 2 9.3	problem number 2	✗	5.054	✗	4.267
823	chapter 2 9.3	problem number 3	✗	13.406	✗	7.405
824	chapter 2 9.3	problem number 4	✗	2.892	✗	6.649
825	chapter 2 9.3	problem number 5	✗	3.147	✗	5.822
826	chapter 2 9.3	problem number 6	✗	25.473	✗	11.842
827	chapter 2 9.3	problem number 7	✗	24.852	✗	9.639
828	chapter 2 9.3	problem number 8	✗	13.803	✗	16.247
829	chapter 2 9.3	problem number 9	✓	0.074	✓	0.047
830	chapter 2 9.3	problem number 11	✗	0.332	✓	0.448
831	chapter 2 9.3	problem number 12	✗	4.134	✓	7.655
832	chapter 2 9.3	problem number 13	✗	12.428	✗	4.061
833	chapter 2 9.3	problem number 14	✗	12.187	✗	3.436
834	chapter 2 9.3	problem number 15	✗	20.11	✗	5.266
835	chapter 2 9.3	problem number 16	✗	19.247	✗	5.388
836	chapter 2 9.3	problem number 17	✗	4.616	✗	4.687
837	chapter 2 9.3	problem number 18	✗	29.02	✗	8.964
838	chapter 2 9.3	problem number 19	✗	29.301	✗	5.853
839	chapter 2 9.3	problem number 20	✗	37.113	✗	105.284
840	chapter 2 9.3	problem number 21	✗	78.03	✗	22.928
841	chapter 2 9.3	problem number 22	✗	12.29	✗	9.346
842	chapter 2 9.3	problem number 23	✗	7.508	✗	19.572
843	chapter 3 Examples	Example 1	✓	0.011	✓	0.057
844	chapter 3 Examples	Example 2	✓	0.023	✓	0.094
845	chapter 3 Examples	Example 3	✓	0.004	✓	0.007
846	chapter 3 2.1	Problem 1	✓	0.005	✓	0.01
847	chapter 3 2.1	Problem 2	✓	0.013	✓	0.037
848	chapter 3 2.1	Problem 3	✓	0.01	✓	0.017
849	chapter 3 2.1	Problem 4	✓	0.007	✓	0.006
850	chapter 3 2.1	Problem 5	✓	0.264	✓	0.125
851	chapter 3 2.1	Problem 6	✓	0.181	✓	0.231
852	chapter 3 2.1	Problem 7	✓	0.03	✓	0.035
853	chapter 3 2.1	Problem 8	✓	0.056	✓	0.046
854	chapter 3 2.2	Problem 1	✓	0.072	✓	0.044
855	chapter 3 2.2	Problem 2	✓	0.214	✓	0.036
856	chapter 3 2.2	Problem 3	✓	0.071	✓	0.048
857	chapter 3 2.2	Problem 4	✓	0.361	✓	0.104
858	chapter 3 2.2	Problem 5	✓	0.013	✓	0.02
859	chapter 3 2.2	Problem 6	✓	0.227	✓ Contains unresolved integral with RootOf	0.267
860	chapter 3 2.2	Problem 7	✓	0.057	✓	0.026
861	chapter 3 2.3	Problem 1	✓	0.014	✓	0.171
862	chapter 3 2.3	Problem 2	✓	0.131	✓	0.063
863	chapter 3 2.3	Problem 3	✓	0.127	✓	0.029
864	chapter 3 2.3	Problem 4	✓	0.56	✓	0.069
865	chapter 3 2.3	Problem 5	✓	0.01	✓	0.013
866	chapter 3 2.3	Problem 6	✓	0.094	✓	0.15
867	chapter 3 2.4	Problem 1	✓	0.072	✓	0.045
868	chapter 3 2.4	Problem 2	✓	0.027	✓	0.043
869	chapter 3 2.4	Problem 3	✓	0.023	✓	0.039
870	chapter 3 2.4	Problem 4	✓	0.022	✓	0.065
871	chapter 3 2.4	Problem 5	✓	0.044	✓ Result has unresolved integral	0.118
872	chapter 3 2.4	Problem 6	✓	0.096	✓ Result has unresolved integral	0.069
873	chapter 3 2.4	Problem 7	✓	0.692	✓ Result has unresolved integral	1.579
874	chapter 3 2.4	Problem 8	✓	1.187	✓ Result has unresolved integral	0.48
875	chapter 3 2.4	Problem 9	✓	3.384	✓	0.448
876	chapter 3 2.4	Problem 10	✗	1.96	✓	10.774
877	chapter 3 2.4	Problem 11	✓	0.437	✓	1.658
878	chapter 3 3.1	Problem 1	✓	0.049	✓	0.089
879	chapter 3 3.1	Problem 2	✓	0.031	✓	0.09
880	chapter 3 3.1	Problem 3	✓	0.206	✓	0.141
881	chapter 3 3.1	Problem 4	✓	0.215	✓	0.11
882	chapter 3 3.1	Problem 5	✓	0.303	✓	0.18
883	chapter 3 3.1	Problem 6	✓	0.385	✓	0.03
884	chapter 3 3.1	Problem 7	✓	0.761	✓	0.323
885	chapter 3 3.1	Problem 8	✗	3.248	✓	2.17
886	chapter 3 3.1	Problem 9	✗	1.547	✓	0.523
887	chapter 3 3.1	Problem 10	✓	1.886	✓	1.167
888	chapter 3 3.1	Problem 11	✓	0.539	✓	0.425
889	chapter 3 3.2	Problem 1	✓	0.13	✓	0.048
890	chapter 3 3.2	Problem 2	✓	0.015	✓	0.134
891	chapter 3 3.2	Problem 3	✓	0.041	✓	0.116
892	chapter 3 3.2	Problem 4	✓	0.37	✓	0.342
893	chapter 3 3.2	Problem 5	✓	0.591	✓	1.484
894	chapter 3 3.2	Problem 6	✓	0.018	✓	0.063
895	chapter 3 3.2	Problem 7	✓	0.028	✓	0.044
896	chapter 3 3.2	Problem 8	✓	0.249	✓	0.654
897	chapter 3 3.2	Problem 9	✓	0.366	✓	0.996
898	chapter 3 3.2	Problem 10	✓	0.253	✓	0.121
899	chapter 3 3.2	Problem 11	✓	2.833	✓	0.629
900	chapter 3 4.1	Problem 1	✓	0.056	✓	0.023
901	chapter 3 4.1	Problem 2	✓	0.082	✓	0.045
902	chapter 3 4.1	Problem 3	✗ (Timed out)	600.	✓	0.023
903	chapter 3 4.1	Problem 4	✗ (Timed out)	600.	✓	6.359
904	chapter 3 4.1	Problem 5	✓	14.994	✓	1.81
905	chapter 3 4.2	Problem 1	✓	0.057	✓	0.026
906	chapter 3 4.2	Problem 2	✓	0.077	✓	0.021
907	chapter 3 4.2	Problem 3	✓	0.248	✓	0.02
908	chapter 3 4.2	Problem 4	✗ (Timed out)	600.	✓	1.072
909	chapter 3 4.2	Problem 5	✓	150.956	✓	2.229
910	chapter 3 4.3	Problem 1	✓	0.15	✓	0.026
911	chapter 3 4.3	Problem 2	✓	0.082	✓	0.017
912	chapter 3 4.3	Problem 3	✓	0.04	✓	0.016
913	chapter 3 4.3	Problem 4	✓	510.024	✓	1.219
914	chapter 3 4.3	Problem 5	✓	215.398	✓	1.129
915	chapter 3 4.4	Problem 1	✓	0.184	✓	0.03
916	chapter 3 4.4	Problem 2	✓	0.099	✓	0.017
917	chapter 3 4.4	Problem 3	✓	0.047	✓	0.017
918	chapter 3 4.4	Problem 4	✓	508.353	✓	1.127
919	chapter 3 4.4	Problem 5	✓	226.757	✓	1.051
920	chapter 3 4.5	Problem 1	✓	0.06	✓	0.018
921	chapter 3 4.5	Problem 2	✓	0.161	✓	0.077
922	chapter 3 4.5	Problem 3	✓	0.076	✓	0.039
923	chapter 3 4.5	Problem 4	✓	0.146	✓	0.675
924	chapter 3 4.5	Problem 5	✓	0.135	✓	0.144
925	chapter 3 5.1	Problem 1	✓	0.058	✓	0.041
926	chapter 3 5.1	Problem 2	✓	0.022	✓	0.043
927	chapter 3 5.1	Problem 3	✓	0.25	✓	1.108
928	chapter 3 5.1	Problem 4	✓	1.538	✓	0.501
929	chapter 3 5.1	Problem 5	✓	0.924	✓	0.481
930	chapter 3 5.1	Problem 6	✗	0.268	✓	0.291
931	chapter 3 5.2	Problem 1	✓	0.06	✓	0.044
932	chapter 3 5.2	Problem 2	✓	0.174	✓ Result has unresolved integrals	0.787
933	chapter 3 5.2	Problem 3	✓	0.147	✓	0.464
934	chapter 3 5.3	Problem 4	✓	0.06	✓ Result has unresolved integrals	0.148
935	chapter 3 5.3	Problem 5	✓	0.044	✓	0.2
936	chapter 3 5.3	Problem 6	✓	1.558	✓	1.496
937	chapter 3 6.1	Problem 1	✓	0.059	✓	0.024
938	chapter 3 6.1	Problem 2	✓	0.082	✓	0.019
939	chapter 3 6.1	Problem 3	✓	0.034	✓	0.017
940	chapter 3 6.1	Problem 4	✓	227.9	✓	2.639
941	chapter 3 6.1	Problem 5	✓	80.067	✓ Result has unresolved integrals	7.334
942	chapter 3 6.2	Problem 1	✓	0.057	✓	0.071
943	chapter 3 6.2	Problem 2	✓	0.081	✓	0.044
944	chapter 3 6.2	Problem 3	✓	0.032	✓	0.043
945	chapter 3 6.2	Problem 4	✓	247.132	✓	1.829
946	chapter 3 6.2	Problem 5	✓	47.498	✓	2.597
947	chapter 3 6.3	Problem 1	✓	0.153	✓	0.023
948	chapter 3 6.3	Problem 2	✓	0.088	✓	0.018
949	chapter 3 6.3	Problem 3	✓	0.042	✓	0.017
950	chapter 3 6.3	Problem 4	✓	61.199	✓	1.418
951	chapter 3 6.3	Problem 5	✓	29.032	✓	2.009
952	chapter 3 6.4	Problem 1	✓	0.198	✓	0.033
953	chapter 3 6.4	Problem 2	✓	0.098	✓	0.015
954	chapter 3 6.4	Problem 3	✓	0.047	✓	0.017
955	chapter 3 6.4	Problem 4	✓	71.778	✓	1.263
956	chapter 3 6.4	Problem 5	✓	30.476	✓	1.848
957	chapter 3 6.5	Problem 1	✓	0.064	✓	0.022
958	chapter 3 6.5	Problem 2	✓	0.091	✓	0.038
959	chapter 3 6.5	Problem 3	✓	0.313	✓	0.033
960	chapter 3 6.5	Problem 4	✓	0.194	✓	0.47
961	chapter 3 6.5	Problem 5	✓	0.248	✓	2.144
962	chapter 3 6.5	Problem 6	✓	0.124	✓	0.722
963	chapter 3 7.1	Problem 1	✓	0.811	✓	0.096
964	chapter 3 7.1	Problem 2	✓	0.4	✓	0.095
965	chapter 3 7.1	Problem 3	✓	0.045	✓	0.039
966	chapter 3 7.1	Problem 4	✓	2.938	✓	1.008
967	chapter 3 7.1	Problem 5	✓	1.114	✓	0.815
968	chapter 3 7.2	Problem 1	✓	0.697	✓	0.02
969	chapter 3 7.2	Problem 2	✓	0.634	✓	0.017
970	chapter 3 7.2	Problem 3	✓	0.049	✓	0.017
971	chapter 3 7.2	Problem 4	✓	3.2	✓	0.626
972	chapter 3 7.2	Problem 5	✓	1.313	✓	0.465
973	chapter 3 7.3	Problem 1	✓	0.047	✓	0.241
974	chapter 3 7.3	Problem 2	✓	0.072	✓	0.165
975	chapter 3 7.3	Problem 3	✓	0.024	✓	0.102
976	chapter 3 7.3	Problem 4	✓	0.488	✓	3.386
977	chapter 3 7.3	Problem 5	✓	0.526	✓	0.957
978	chapter 3 7.4	Problem 1	✓	0.042	✓	0.023
979	chapter 3 7.4	Problem 2	✓	0.074	✓	0.019
980	chapter 3 7.4	Problem 3	✓	0.027	✓	0.051
981	chapter 3 7.4	Problem 4	✓	0.568	✓	1.98
982	chapter 3 7.4	Problem 5	✓	0.381	✓	0.878
983	chapter 3 8.1	Problem 1	✓	0.006	✓	0.035
984	chapter 3 8.1	Problem 2	✓	0.034	✓	0.063
985	chapter 3 8.1	Problem 3	✓	0.024	✓	0.028
986	chapter 3 8.1	Problem 4	✓	0.027	✓	0.361
987	chapter 3 8.1	Problem 5	✓	0.03	✓	0.073
988	chapter 3 8.1	Problem 6	✓	0.037	✓	0.016
989	chapter 3 8.1	Problem 7	✓	0.056	✓	0.281
990	chapter 3 8.1	Problem 8	✓	0.122	✓	0.05
991	chapter 3 8.1	Problem 9	✓	0.157	✓	0.042
992	chapter 3 8.1	Problem 10	✓	0.104	✓	0.012
993	chapter 3 8.1	Problem 11	✓	0.183	✓	0.533
994	chapter 3 8.1	Problem 12	✓	0.418	✓	0.253
995	chapter 3 8.1	Problem 13	✗	0.338	✓	0.444
996	chapter 3 8.1	Problem 14	✓	0.181	✓	0.54
997	chapter 3 8.1	Problem 15	✓	0.623	✓	0.548
998	chapter 3 8.1	Problem 16	✓	0.069	✓	0.019
999	chapter 3 8.2	Problem 1	✓	0.014	✓	0.045
1000	chapter 3 8.2	Problem 2	✓	0.015	✓	0.019
1001	chapter 3 8.2	Problem 3	✓	0.047	✓	0.056
1002	chapter 3 8.2	Problem 4	✗	0.07	✓	0.113
1003	chapter 3 8.2	Problem 5	✓	0.415	✓	0.295
1004	chapter 3 8.2	Problem 6	✓	0.047	✓	0.016
1005	chapter 3 8.2	Problem 7	✗	0.157	✓	0.062
1006	chapter 3 8.3	Problem 1	✓	0.03	✓	0.066
1007	chapter 3 8.3	Problem 2	✓	0.007	✓	0.008
1008	chapter 3 8.3	Problem 3	✓	0.027	✓	0.043
1009	chapter 3 8.3	Problem 4	✓	0.045	✓	0.023
1010	chapter 3 8.3	Problem 5	✓	0.043	✓	0.233
1011	chapter 3 8.3	Problem 6	✓	0.066	✓	0.158
1012	chapter 3 8.3	Problem 7	✓	0.038	✓	0.069
1013	chapter 3 8.3	Problem 8	✓	0.152	✓	3.105
1014	chapter 3 8.4	Problem 1	✓	0.007	✓	0.02
1015	chapter 3 8.4	Problem 2	✓	0.035	✓	0.023
1016	chapter 3 8.4	Problem 3	✓	0.062	✓	0.06
1017	chapter 3 8.4	Problem 4	✓	0.162	✓	0.149
1018	chapter 3 8.4	Problem 5	✓	0.432	✓	0.314
1019	chapter 3 8.4	Problem 6	✗	0.389	✓	0.844
1020	chapter 3 8.4	Problem 7	✗	0.151	✓ Contains RootOf	0.036
1021	chapter 4 1.1	Example 1	✓	0.019	✓	0.083
1022	chapter 4 1.1	Example 2	✓	0.029	✓	0.068
1023	chapter 4 1.1	Example 3	✓	0.004	✓	0.032
1024	chapter 4 2.1	Problem 1	✓	0.005	✓	0.031
1025	chapter 4 2.1	Problem 2	✓	0.017	✓	0.013
1026	chapter 4 2.1	Problem 3	✓	0.008	✓	0.009
1027	chapter 4 2.1	Problem 4	✓	0.007	✓	0.088
1028	chapter 4 2.1	Problem 5	✓	0.008	✓	0.009
1029	chapter 4 2.1	Problem 6	✓	0.014	✓	0.01
1030	chapter 4 2.1	Problem 7	✗	0.118	✗ (Timed out)	600.
1031	chapter 4 2.2	Problem 1	✓	0.014	✓	0.186
1032	chapter 4 2.2	Problem 2	✓	0.013	✓	0.05
1033	chapter 4 2.2	Problem 3	✓	0.115	✓	0.081
1034	chapter 4 2.2	Problem 4	✓	0.115	✓	0.144
1035	chapter 4 2.2	Problem 5	✓	0.136	✓	0.069
1036	chapter 4 2.2	Problem 6	✓	0.058	✓	0.167
1037	chapter 4 2.2	Problem 7	✗ (Timed out)	600.	✓	4.12
1038	chapter 4 2.2	Problem 8	✗	1.776	✓	2.292
1039	chapter 4 2.3	Problem 1	✓	0.014	✓	0.11
1040	chapter 4 2.3	Problem 2	✓	0.015	✓	0.023
1041	chapter 4 2.3	Problem 3	✓	0.011	✓	0.069
1042	chapter 4 2.3	Problem 4	✓	0.087	✓	0.27
1043	chapter 4 2.3	Problem 5	✓	0.037	✓	0.112
1044	chapter 4 2.3	Problem 6	✓	0.114	✓	0.072
1045	chapter 4 2.4	Problem 1	✓	0.074	✓	0.056
1046	chapter 4 2.4	Problem 2 case \(n\neq -1, n\neq -2\)	✓	0.027	✓	0.148
1047	chapter 4 2.4	Problem 2 case \(n = -1\)	✓	0.016	✓	0.143
1048	chapter 4 2.4	Problem 2 case \(n = -2\)	✓	0.015	✓	0.121
1049	chapter 4 2.4	Problem 3	✓	0.019	✓	0.068
1050	chapter 4 2.4	Problem 4	✓	0.023	✓	0.047
1051	chapter 4 2.4	Problem 5	✓	0.045	✓	0.046
1052	chapter 4 2.4	Problem 6	✓	0.098	✓	0.099
1053	chapter 4 2.4	Problem 7	✓	0.69	✓	2.444
1054	chapter 4 2.4	Problem 8	✓	1.18	✓	0.569
1055	chapter 4 2.4	Problem 9	✓	3.142	✓	6.52
1056	chapter 4 2.4	Problem 10	✓	1.496	✓	13.657
1057	chapter 4 2.4	Problem 11	✓	0.433	✓	1.738
1058	chapter 4 2.4	Problem 12	✗	0.434	✓	1.332
1059	chapter 4 2.4	Problem 13	✗	0.386	✓	1.431
1060	chapter 4 3.1	Problem 1	✓	0.049	✓	0.047
1061	chapter 4 3.1	Problem 2	✓	0.05	✓	0.049
1062	chapter 4 3.1	Problem 3	✓	0.204	✓	0.158
1063	chapter 4 3.1	Problem 4	✓	0.218	✓	0.145
1064	chapter 4 3.1	Problem 5	✓	0.528	✓	0.656
1065	chapter 4 3.1	Problem 6	✓	3.783	✓	0.277
1066	chapter 4 3.1	Problem 7	✗	2.098	✓	1.201
1067	chapter 4 3.1	Problem 8	✗	1.525	✓	1.227
1068	chapter 4 3.1	Problem 9	✓	1.981	✓	0.891
1069	chapter 4 3.1	Problem 10	✓	0.099	✓	0.043
1070	chapter 4 3.2	Problem 1	✓	0.158	✓	0.029
1071	chapter 4 3.2	Problem 2	✓	0.02	✓	0.046
1072	chapter 4 3.2	Problem 3	✓	0.028	✓	0.049
1073	chapter 4 3.2	Problem 4	✓	0.254	✓	0.685
1074	chapter 4 3.2	Problem 5	✓	0.368	✓	0.485
1075	chapter 4 3.2	Problem 6	✓	0.261	✓	0.088
1076	chapter 4 3.2	Problem 7	✓	2.894	✓	0.138
1077	chapter 4 4.1	Problem 1	✓	0.056	✓	0.033
1078	chapter 4 4.1	Problem 2	✓	0.085	✓	0.053
1079	chapter 4 4.1	Problem 3	✓	0.03	✓	0.021
1080	chapter 4 4.1	Problem 4	✗ (Timed out)	600.	✓	1.096
1081	chapter 4 4.1	Problem 5	✓	265.269	✓	1.177
1082	chapter 4 4.2	Problem 1	✓	0.058	✓	0.034
1083	chapter 4 4.2	Problem 2	✓	0.086	✓	0.027
1084	chapter 4 4.2	Problem 3	✓	0.035	✓	0.023
1085	chapter 4 4.2	Problem 4	✗ (Timed out)	600.	✓	0.585
1086	chapter 4 4.2	Problem 5	✓	140.356	✓	0.816
1087	chapter 4 4.3	Problem 1	✓	0.152	✓	0.144
1088	chapter 4 4.3	Problem 2	✓	0.084	✓	0.161
1089	chapter 4 4.3	Problem 3	✓	0.047	✓	0.123
1090	chapter 4 4.3	Problem 4	✓	474.165	✓	0.813
1091	chapter 4 4.3	Problem 5	✓	200.98	✓	0.74
1092	chapter 4 4.4	Problem 1	✓	0.182	✓	0.065
1093	chapter 4 4.4	Problem 2	✓	0.099	✓	0.049
1094	chapter 4 4.4	Problem 3	✓	0.052	✓	0.043
1095	chapter 4 4.4	Problem 4	✓	484.714	✓	0.734
1096	chapter 4 4.4	Problem 5	✓	210.874	✓	0.74
1097	chapter 4 4.5	Problem 1	✓	0.057	✓	0.023
1098	chapter 4 4.5	Problem 2	✓	0.163	✓	0.109
1099	chapter 4 4.5	Problem 3	✓	0.124	✓	0.741
1100	chapter 4 4.5	Problem 4	✓	0.063	✓	0.053
1101	chapter 4 4.5	Problem 5	✓	0.241	✓	0.494
1102	chapter 4 4.5	Problem 6	✓	0.685	✓	6.614
1103	chapter 4 5.1	Problem 1	✓	0.061	✓	0.076
1104	chapter 4 5.1	Problem 2	✓	0.024	✓	0.129
1105	chapter 4 5.1	Problem 3	✓	1.275	✓	0.456
1106	chapter 4 5.1	Problem 4	✓	0.707	✓	0.481
1107	chapter 4 5.1	Problem 5	✓	0.17	✓	1.704
1108	chapter 4 5.1	Problem 6	✗	0.278	✓	0.344
1109	chapter 4 5.2	Problem 1	✓	0.07	✓	1.294
1110	chapter 4 5.2	Problem 2	✓	0.211	✓	0.324
1111	chapter 4 5.2	Problem 3	✓	0.147	✓	0.07
1112	chapter 4 5.2	Problem 4	✓	0.05	✓	0.102
1113	chapter 4 5.2	Problem 5	✓	0.053	✓	0.552
1114	chapter 4 5.2	Problem 6	✓	1.43	✓	13.164
1115	chapter 4 6.1	Problem 1	✓	0.083	✓	0.108
1116	chapter 4 6.1	Problem 2	✓	0.059	✓	0.056
1117	chapter 4 6.1	Problem 3	✓	0.032	✓	0.049
1118	chapter 4 6.1	Problem 4	✓	232.318	✓	1.931
1119	chapter 4 6.1	Problem 5	✓	81.888	✓	1.619
1120	chapter 4 6.2	Problem 1	✓	0.083	✓	0.023
1121	chapter 4 6.2	Problem 2	✓	0.058	✓	0.033
1122	chapter 4 6.2	Problem 3	✓	0.034	✓	0.022
1123	chapter 4 6.2	Problem 4	✓	236.548	✓	0.897
1124	chapter 4 6.2	Problem 5	✓	46.159	✓	1.137
1125	chapter 4 6.3	Problem 1	✓	0.095	✓	0.088
1126	chapter 4 6.3	Problem 2	✓	0.162	✓	0.141
1127	chapter 4 6.3	Problem 3	✓	0.045	✓	0.056
1128	chapter 4 6.3	Problem 4	✓	60.743	✓	0.839
1129	chapter 4 6.3	Problem 5	✓	26.718	✓	0.796
1130	chapter 4 6.4	Problem 1	✓	0.102	✓	0.036
1131	chapter 4 6.4	Problem 2	✓	0.194	✓	0.048
1132	chapter 4 6.4	Problem 3	✓	0.051	✓	0.03
1133	chapter 4 6.4	Problem 4	✓	68.902	✓	1.141
1134	chapter 4 6.4	Problem 5	✓	26.252	✓	1.092
1135	chapter 4 6.5	Problem 1	✓	0.039	✓	0.058
1136	chapter 4 6.5	Problem 2	✓	0.061	✓	0.093
1137	chapter 4 6.5	Problem 3	✓	0.158	✓	0.474
1138	chapter 4 6.5	Problem 4	✓	0.186	✓	2.76
1139	chapter 4 6.5	Problem 5	✓	0.252	✓	0.127
1140	chapter 4 6.5	Problem 6	✓	0.144	✓	0.118
1141	chapter 4 7.1	Problem 1	✓	1.011	✓	0.152
1142	chapter 4 7.1	Problem 2	✓	0.355	✓	0.165
1143	chapter 4 7.1	Problem 3	✓	0.263	✓	0.092
1144	chapter 4 7.1	Problem 4	✓	0.09	✓	2.681
1145	chapter 4 7.1	Problem 5	✓	1.122	✓	2.376
1146	chapter 4 7.2	Problem 1	✓	0.671	✓	0.021
1147	chapter 4 7.2	Problem 2	✓	0.583	✓	0.02
1148	chapter 4 7.2	Problem 3	✓	0.271	✓	0.027
1149	chapter 4 7.2	Problem 4	✓	0.101	✓	1.733
1150	chapter 4 7.2	Problem 5	✓	0.333	✓	2.191
1151	chapter 4 7.3	Problem 1	✓	0.06	✓	0.23
1152	chapter 4 7.3	Problem 2	✓	0.071	✓	0.21
1153	chapter 4 7.3	Problem 3	✓	0.133	✓	0.217
1154	chapter 4 7.3	Problem 4	✓	0.12	✓	1.213
1155	chapter 4 7.3	Problem 5	✓	0.395	✓	1.028
1156	chapter 4 7.4	Problem 1	✓	0.047	✓	0.138
1157	chapter 4 7.4	Problem 2	✓	0.075	✓	0.027
1158	chapter 4 7.4	Problem 3	✓	0.133	✓	0.07
1159	chapter 4 7.4	Problem 4	✓	0.122	✓	1.125
1160	chapter 4 7.4	Problem 5	✓	0.394	✓	1.054
1161	chapter 4 8.1	Problem 1	✓	0.006	✓	0.037
1162	chapter 4 8.1	Problem 2	✓	0.033	✓	0.062
1163	chapter 4 8.1	Problem 3	✓	0.023	✓	0.016
1164	chapter 4 8.1	Problem 4	✓	0.029	✓	0.062
1165	chapter 4 8.1	Problem 5	✓	0.031	✓	0.04
1166	chapter 4 8.1	Problem 6	✓	0.037	✓	0.013
1167	chapter 4 8.1	Problem 7	✓	0.057	✓	0.078
1168	chapter 4 8.1	Problem 8	✓	0.118	✓	0.089
1169	chapter 4 8.1	Problem 9	✓	0.159	✓	0.12
1170	chapter 4 8.1	Problem 10	✓	0.107	✓	0.064
1171	chapter 4 8.1	Problem 11	✓	0.186	✓	0.175
1172	chapter 4 8.1	Problem 12	✓	0.414	✓	0.217
1173	chapter 4 8.1	Problem 13	✗	24.029	✗	5.072
1174	chapter 4 8.1	Problem 14	✓	0.178	✓	0.162
1175	chapter 4 8.1	Problem 15	✓	0.192	✓	0.097
1176	chapter 4 8.2	Problem 1	✓	0.013	✓	0.066
1177	chapter 4 8.2	Problem 2	✓	0.016	✓	0.013
1178	chapter 4 8.2	Problem 3	✓	0.045	✓	0.045
1179	chapter 4 8.2	Problem 4	✗	0.069	✓ contains RootOf	0.082
1180	chapter 4 8.2	Problem 5	✗	21.787	✗	2.398
1181	chapter 4 8.2	Problem 6	✗	0.159	✓ has RootOf	0.053
1182	chapter 4 8.2	Problem 7	✗	0.036	✓ has RootOf	0.04
1183	chapter 4 8.3	Problem 1	✓	0.029	✓	0.066
1184	chapter 4 8.3	Problem 2	✓	0.008	✓	0.039
1185	chapter 4 8.3	Problem 3	✓	0.024	✓	0.04
1186	chapter 4 8.3	Problem 4	✓	0.072	✓	0.379
1187	chapter 4 8.3	Problem 5	✓	0.067	✓	0.098
1188	chapter 4 8.3	Problem 6	✓	0.035	✓	0.071
1189	chapter 4 8.3	Problem 7	✓	0.047	✓	1.833
1190	chapter 4 8.4	Problem 1	✓	0.008	✓	0.01
1191	chapter 4 8.4	Problem 2	✓	0.035	✓	0.015
1192	chapter 4 8.4	Problem 3	✓	0.058	✓	0.017
1193	chapter 4 8.4	Problem 4	✓	0.16	✓	0.021
1194	chapter 4 8.4	Problem 5	✓	0.443	✓	0.242
1195	chapter 4 8.4	Problem 6	✗	24.155	✗	3.401
1196	chapter 4 8.4	Problem 7	✗	0.151	✓ has RootOf	0.027
1197	chapter 5 2.1	Problem 1	✓	0.01	✓	0.039
1198	chapter 5 2.1	Problem 2	✓	0.014	✓	0.012
1199	chapter 5 2.1	Problem 3	✓	0.032	✓	0.099
1200	chapter 5 2.1	Problem 4	✓	0.033	✓	0.043
1201	chapter 5 2.1	Problem 5	✓	0.321	✓	0.097
1202	chapter 5 2.1	Problem 6	✓	0.053	✓	0.132
1203	chapter 5 2.1	Problem 7	✓	5.215	✗ (Timed out)	600.
1204	chapter 5 2.1	Problem 8	✓	1.488	✓	1.875
1205	chapter 5 2.2	Problem 1	✓	0.078	✓	0.104
1206	chapter 5 2.2	Problem 2	✓	0.097	✓	0.048
1207	chapter 5 2.2	Problem 3	✓	0.016	✓	0.044
1208	chapter 5 2.2	Problem 4	✓	0.217	✓	0.088
1209	chapter 5 2.2	Problem 5	✗ (Timed out)	600.	✓	19.75
1210	chapter 5 2.2	Problem 6	✓	591.242	✓	3.034
1211	chapter 5 2.2	Problem 7	✗	42.293	✓	1.951
1212	chapter 5 2.2	Problem 8	✗	27.009	✓	49.692
1213	chapter 5 2.3	Problem 1	✓	0.235	✓	0.664
1214	chapter 5 2.3	Problem 2	✓	0.391	✓	0.145
1215	chapter 5 2.3	Problem 3	✓	2.969	✓	0.513
1216	chapter 5 2.3	Problem 4	✓	3.005	✓	0.001
1217	chapter 5 2.3	Problem 5	✓	0.453	✓	0.408
1218	chapter 5 2.3	Problem 6	✓	0.141	✓	0.262
1219	chapter 5 2.3	Problem 7	✓	1.172	✓ contains RootOf	1.152
1220	chapter 5 2.4	Problem 1	✓	0.494	✓	0.53
1221	chapter 5 2.4	Problem 2	✓	0.057	✓	0.179
1222	chapter 5 2.4	Problem 3	✓	0.018	✓	0.446
1223	chapter 5 2.4	Problem 4	✓	0.122	✓	0.214
1224	chapter 5 2.4	Problem 5	✓	0.567	✓	1.138
1225	chapter 5 2.4	Problem 6	✓	0.474	✓	1.026
1226	chapter 5 2.4	Problem 7	✓	0.075	✓	0.252
1227	chapter 5 2.4	Problem 8	✓	0.049	✓	0.175
1228	chapter 5 2.4	Problem 9	✓	5.586	✓	0.717
1229	chapter 5 2.4	Problem 10	✓	1.988	✓	2.339
1230	chapter 5 2.4	Problem 11	✓	3.424	✓	2.588
1231	chapter 5 2.4	Problem 12	✓	1.054	✓	2.355
1232	chapter 5 3.1	Problem 1	✓	0.34	✓	0.474
1233	chapter 5 3.1	Problem 2	✓	0.497	✓	0.496
1234	chapter 5 3.1	Problem 3	✓	1.553	✓	0.556
1235	chapter 5 3.1	Problem 4	✗	2.029	✓	0.867
1236	chapter 5 3.1	Problem 5	✗	1.614	✓	1.23
1237	chapter 5 3.1	Problem 6	✓	5.128	✓	0.796
1238	chapter 5 3.1	Problem 7	✓	0.223	✓	0.056
1239	chapter 5 3.1	Problem 8	✓	0.192	✓	0.125
1240	chapter 5 3.2	Problem 1	✓	0.103	✓	0.194
1241	chapter 5 3.2	Problem 2	✓	0.085	✓	0.06
1242	chapter 5 3.2	Problem 3	✓	0.093	✓	0.058
1243	chapter 5 3.2	Problem 4	✓	0.475	✓	1.395
1244	chapter 5 3.2	Problem 5	✓	0.336	✓	0.385
1245	chapter 5 3.2	Problem 6	✓	0.297	✓	0.272
1246	chapter 5 3.2	Problem 7	✓	2.48	✓	0.638
1247	chapter 5 3.2	Problem 8	✓	0.05	✓	0.045
1248	chapter 5 3.2	Problem 9	✓	0.513	✓	4.324
1249	chapter 5 3.2	Problem 10	✓	0.567	✓	0.385
1250	chapter 5 4.1	Problem 1	✓	8.42	✓	10.641
1251	chapter 5 4.1	Problem 2	✓	157.833	✓	0.246
1252	chapter 5 4.1	Problem 3	✓	68.295	✓	4.907
1253	chapter 5 4.1	Problem 4	✓	3.503	✓	8.539
1254	chapter 5 4.1	Problem 5	✓	0.645	✓	1.687
1255	chapter 5 4.2	Problem 1	✓	8.421	✓	6.686
1256	chapter 5 4.2	Problem 2	✓	114.845	✓	0.173
1257	chapter 5 4.2	Problem 3	✓	69.389	✓	2.9
1258	chapter 5 4.2	Problem 4	✓	0.069	✓	0.121
1259	chapter 5 4.2	Problem 5	✓	3.579	✓	5.414
1260	chapter 5 4.2	Problem 6	✓	1.873	✓	1.588
1261	chapter 5 4.3	Problem 1	✓	9.681	✓	3.325
1262	chapter 5 4.3	Problem 2	✓	80.973	✓	0.171
1263	chapter 5 4.3	Problem 3	✗ (Timed out)	600.	✓	1.637
1264	chapter 5 4.3	Problem 4	✓	4.723	✓	2.991
1265	chapter 5 4.3	Problem 5	✓	1.301	✓	1.658
1266	chapter 5 4.4	Problem 1	✓	9.478	✓	6.809
1267	chapter 5 4.4	Problem 2	✓	77.454	✓	0.296
1268	chapter 5 4.4	Problem 3	✗ (Timed out)	600.	✓	1.973
1269	chapter 5 4.4	Problem 4	✓	4.643	✓	2.586
1270	chapter 5 4.4	Problem 5	✓	1.303	✓	1.529
1271	chapter 5 4.5	Problem 1	✓	0.958	✓	6.943
1272	chapter 5 4.5	Problem 2	✓	7.263	✓	6.973
1273	chapter 5 4.5	Problem 3	✓	0.406	✓	0.628
1274	chapter 5 4.5	Problem 4	✓	14.62	✓	0.631
1275	chapter 5 4.5	Problem 5	✓	3.938	✓	7.625
1276	chapter 5 4.5	Problem 6	✓	3.738	✓	3.361
1277	chapter 5 5.1	Problem 1	✓	0.246	✓	0.373
1278	chapter 5 5.1	Problem 2	✓	0.161	✓	0.069
1279	chapter 5 5.1	Problem 3	✓	0.605	✓	1.214
1280	chapter 5 5.1	Problem 4	✗	0.113	✓	1.004
1281	chapter 5 5.1	Problem 5	✓	0.433	✓	284.989
1282	chapter 5 5.1	Problem 6	✓	0.188	✓	55.023
1283	chapter 5 5.2	Problem 1	✓	0.614	✓	0.378
1284	chapter 5 5.2	Problem 2	✓	0.568	✓	0.287
1285	chapter 5 5.2	Problem 3	✓	0.234	✓	0.288
1286	chapter 5 5.2	Problem 4	✓	0.432	✓	0.483
1287	chapter 5 5.2	Problem 5	✓	0.186	✓	0.492
1288	chapter 5 5.2	Problem 6	✓	1.35	✓	1.288
1289	chapter 5 5.2	Problem 7	✓	0.246	✓	3.757
1290	chapter 5 6.1	Problem 1	✓	0.347	✓	0.128
1291	chapter 5 6.1	Problem 2	✓	0.975	✓	15.953
1292	chapter 5 6.1	Problem 3	✓	3.415	✓	14.635
1293	chapter 5 6.1	Problem 4	✓	1.989	✓	0.379
1294	chapter 5 6.1	Problem 5	✓	4.104	✓	0.605
1295	chapter 5 6.1	Problem 6	✓	1.764	✓	32.913
1296	chapter 5 6.1	Problem 7	✓	0.747	✓	6.461
1297	chapter 5 6.2	Problem 1	✓	0.344	✓	0.106
1298	chapter 5 6.2	Problem 2	✓	1.261	✓	8.612
1299	chapter 5 6.2	Problem 3	✓	3.397	✓	7.996
1300	chapter 5 6.2	Problem 4	✓	1.467	✓	0.349
1301	chapter 5 6.2	Problem 5	✓	4.52	✓	0.601
1302	chapter 5 6.2	Problem 6	✓	1.745	✓	10.484
1303	chapter 5 6.3	Problem 1	✓	2.122	✓	0.271
1304	chapter 5 6.3	Problem 2	✓	6.468	✓	0.772
1305	chapter 5 6.3	Problem 3	✓	2.291	✓	1.122
1306	chapter 5 6.3	Problem 4	✓	0.816	✓	3.467
1307	chapter 5 6.3	Problem 5	✓	5.656	✓	0.336
1308	chapter 5 6.3	Problem 6	✓	1.721	✓	9.725
1309	chapter 5 6.3	Problem 7	✓	1.116	✓	7.847
1310	chapter 5 6.4	Problem 1	✓	3.465	✓	0.298
1311	chapter 5 6.4	Problem 2	✓	6.989	✓	0.776
1312	chapter 5 6.4	Problem 3	✓	2.16	✓	1.097
1313	chapter 5 6.4	Problem 4	✓	1.191	✓	3.961
1314	chapter 5 6.4	Problem 5	✓	7.576	✓	0.247
1315	chapter 5 6.4	Problem 6	✓	1.767	✓	5.508
1316	chapter 5 6.4	Problem 7	✓	1.2	✓	8.062
1317	chapter 5 6.5	Problem 1	✓	1.148	✓	10.625
1318	chapter 5 6.5	Problem 2	✓	3.497	✓	8.912
1319	chapter 5 6.5	Problem 3	✓	1.382	✓	0.51
1320	chapter 5 6.5	Problem 4	✓	1.83	✓	0.136
1321	chapter 5 6.5	Problem 5	✓	1.764	✓	3.03
1322	chapter 5 6.5	Problem 6	✓	1.781	✓	15.494
1323	chapter 5 6.5	Problem 7	✓	1.838	✓	1.431
1324	chapter 5 7.1	Problem 1	✓	1.289	✓	0.274
1325	chapter 5 7.1	Problem 2	✓	1.505	✓	0.066
1326	chapter 5 7.1	Problem 3	✓	2.292	✓	0.656
1327	chapter 5 7.1	Problem 4	✓	3.575	✓	3.099
1328	chapter 5 7.1	Problem 5	✓	1.214	✓	2.661
1329	chapter 5 7.2	Problem 1	✓	1.716	✓	0.079
1330	chapter 5 7.2	Problem 2	✓	1.594	✓	0.036
1331	chapter 5 7.2	Problem 3	✓	3.851	✓	0.086
1332	chapter 5 7.2	Problem 4	✓	5.532	✓	1.732
1333	chapter 5 7.2	Problem 5	✓	1.292	✓	1.853
1334	chapter 5 7.3	Problem 1	✓	2.593	✓	0.77
1335	chapter 5 7.3	Problem 2	✓	1.798	✓	108.717
1336	chapter 5 7.3	Problem 3	✓	2.591	✓	7.012
1337	chapter 5 7.3	Problem 4	✓	0.284	✓	2.171
1338	chapter 5 7.3	Problem 5	✓	0.153	✓	1.056
1339	chapter 5 7.4	Problem 1	✓	2.73	✓	0.817
1340	chapter 5 7.4	Problem 2	✓	1.89	✓	61.798
1341	chapter 5 7.4	Problem 3	✓	3.483	✓	7.433
1342	chapter 5 7.4	Problem 4	✓	0.303	✓	1.964
1343	chapter 5 7.4	Problem 5	✓	0.167	✓	1.06
1344	chapter 5 8.1	Problem 1	✓	0.032	✓	0.052
1345	chapter 5 8.1	Problem 2	✓	0.085	✓	0.161
1346	chapter 5 8.1	Problem 3	✓	0.091	✓	0.181
1347	chapter 5 8.1	Problem 4	✓	0.057	✓	0.059
1348	chapter 5 8.1	Problem 5	✓	0.115	✓	0.083
1349	chapter 5 8.1	Problem 6	✓	0.049	✓	0.026
1350	chapter 5 8.1	Problem 7	✓	0.185	✓	0.034
1351	chapter 5 8.1	Problem 8	✓	0.179	✓	0.54
1352	chapter 5 8.1	Problem 9	✓	0.546	✓	0.685
1353	chapter 5 8.1	Problem 10	✗	0.424	✓	0.988
1354	chapter 5 8.1	Problem 11	✓	0.229	✓	1.37
1355	chapter 5 8.1	Problem 12	✓	0.295	✓	0.313
1356	chapter 5 8.2	Problem 1	✓	0.033	✓	0.043
1357	chapter 5 8.2	Problem 2	✓	0.158	✓	0.088
1358	chapter 5 8.2	Problem 3	✓	0.034	✓	0.02
1359	chapter 5 8.2	Problem 4	✓	0.099	✓	0.082
1360	chapter 5 8.2	Problem 5	✓	0.059	✓	0.029
1361	chapter 5 8.2	Problem 6	✗	0.075	✓	0.184
1362	chapter 5 8.3	Problem 1	✓	0.03	✓	0.062
1363	chapter 5 8.3	Problem 2	✓	0.081	✓	0.056
1364	chapter 5 8.3	Problem 3	✓	0.056	✓	0.157
1365	chapter 5 8.3	Problem 4	✓	0.193	✓	0.819
1366	chapter 5 8.3	Problem 5	✗ (Timed out)	600.	✓	0.833
1367	chapter 5 8.3	Problem 6	✗	24.163	✗	1.777
1368	chapter 6 2.1	Problem 1	✓	0.005	✓	0.013	Yes
1369	chapter 6 2.1	Problem 2	✓	0.019	✓	0.017	Yes
1370	chapter 6 2.1	Problem 3	✓	0.029	✓	0.019	Yes
1371	chapter 6 2.1	Problem 4	✓	0.072	✓	0.288	Yes
1372	chapter 6 2.1	Problem 5	✓	0.012	✓	0.048
1373	chapter 6 2.1	Problem 6	✓	0.018	✓	0.078
1374	chapter 6 2.1	Problem 7	✓	0.039	✓	0.118
1375	chapter 6 2.1	Problem 8	✗	0.03	✓	0.027
1376	chapter 6 2.1	Problem 9	✗	0.022	✓	2.507
1377	chapter 6 2.1	Problem 10	✓	0.163	✓	0.052
1378	chapter 6 2.1	Problem 11	✗	6.567	✗	19.165
1379	chapter 6 2.1	Problem 12	✗	3.786	✗	0.349
1380	chapter 6 2.1	Problem 13	✓	0.02	✓	0.073
1381	chapter 6 2.1	Problem 14	✗ (Timed out)	600.	✗	1.751
1382	chapter 6 2.1	Problem 15	✗ (Timed out)	600.	✓	20.422
1383	chapter 6 2.1	Problem 16	✗ (Timed out)	600.	✓	15.475
1384	chapter 6 2.1	Problem 17	✗ (Timed out)	600.	✗	4.579
1385	chapter 6 2.1	Problem 18	✗ (Timed out)	600.	✗	11.963
1386	chapter 6 2.1	Problem 19	✗	1.8	✗	0.487
1387	chapter 6 2.1	Problem 20	✗	231.186	✗	0.58
1388	chapter 6 2.1	Problem 21	✗	0.187	✗	0.629
1389	chapter 6 2.2	Problem 1	✓	0.228	✓	0.314
1390	chapter 6 2.2	Problem 2	✓	0.139	✓	0.174
1391	chapter 6 2.2	Problem 3	✗ (Timed out)	600.	✓	2.26
1392	chapter 6 2.2	Problem 4	✓	0.199	✓	0.226
1393	chapter 6 2.2	Problem 5	✓	0.009	✓	0.355
1394	chapter 6 2.2	Problem 6	✓	0.018	✓	0.018
1395	chapter 6 2.2	Problem 7	✓	0.02	✓	0.05
1396	chapter 6 2.2	Problem 8	✓	0.019	✓	0.02
1397	chapter 6 2.2	Problem 9	✓	0.18	✓	0.184
1398	chapter 6 2.2	Problem 10	✓	0.015	✓	0.021
1399	chapter 6 2.2	Problem 11	✓	0.097	✓	0.153
1400	chapter 6 2.2	Problem 12	✓	0.006	✓	0.214
1401	chapter 6 2.2	Problem 13	✓	0.016	✓	0.05
1402	chapter 6 2.2	Problem 14	✓	0.105	✓	0.046
1403	chapter 6 2.2	Problem 15	✓	0.021	✓	0.049
1404	chapter 6 2.2	Problem 16	✓	0.02	✓	0.101
1405	chapter 6 2.2	Problem 17	✓	0.022	✓	0.107
1406	chapter 6 2.2	Problem 18	✓	0.022	✓	0.041
1407	chapter 6 2.2	Problem 19	✓	0.032	✓	0.281
1408	chapter 6 2.2	Problem 20	✓	0.022	✓	0.039
1409	chapter 6 2.2	Problem 21	✓	0.023	✓	0.078
1410	chapter 6 2.2	Problem 22	✓	0.031	✗	0.278
1411	chapter 6 2.2	Problem 23	✗	15.582	✓	4.771
1412	chapter 6 2.2	Problem 24	✓	0.056	✓	1.637
1413	chapter 6 2.2	Problem 25	✓	0.457	✓	1.417
1414	chapter 6 2.2	Problem 26	✗	50.084	✗	0.33
1415	chapter 6 2.2	Problem 27	✗	0.606	✓	2.608
1416	chapter 6 2.2	Problem 28	✓	1.396	✓	0.387
1417	chapter 6 2.2	Problem 29	✗	0.77	✗	1.483
1418	chapter 6 2.3	Problem 1	✗	34.977	✗	0.354
1419	chapter 6 2.3	Problem 2	✓	0.038	✓	0.123
1420	chapter 6 2.3	Problem 3	✓	0.026	✓	0.121
1421	chapter 6 2.3	Problem 4	✗	0.026	✓	1.228
1422	chapter 6 2.3	Problem 5	✗	22.859	✗	0.316
1423	chapter 6 2.3	Problem 6	✗	0.526	✓	3.509
1424	chapter 6 2.3	Problem 7	✗ (Timed out)	600.	✓	6.626
1425	chapter 6 2.3	Problem 8	✓	0.162	✗	0.624
1426	chapter 6 2.3	Problem 9	✗	0.025	✓	1.513
1427	chapter 6 2.3	Problem 10	✓	0.022	✓	0.055
1428	chapter 6 2.3	Problem 11	✓	0.2	✓	0.635
1429	chapter 6 2.3	Problem 12	✗	0.063	✗	2.5
1430	chapter 6 2.3	Problem 13	✗	0.673	✗ (Timed out)	600.
1431	chapter 6 2.4	Problem 1	✗	0.405	✓	7.2
1432	chapter 6 2.4	Problem 2	✓	1.172	✓	1.227
1433	chapter 6 2.4	Problem 3	✓	0.154	✓	0.517
1434	chapter 6 2.4	Problem 4	✓	0.671	✓	1.798
1435	chapter 6 2.4	Problem 5	✓	0.623	✓	2.672
1436	chapter 6 2.4	Problem 6	✓	0.351	✓	0.665
1437	chapter 6 2.4	Problem 7	✗	0.425	✓	2.256
1438	chapter 6 2.4	Problem 8	✗	0.037	✓	2.762
1439	chapter 6 3.1	Problem 1	✓	0.089	✓	0.089
1440	chapter 6 3.1	Problem 2	✓	0.171	✓	0.122
1441	chapter 6 3.1	Problem 3	✓	0.254	✓	0.152
1442	chapter 6 3.1	Problem 4	✗	0.867	✓	2.346
1443	chapter 6 3.1	Problem 5	✓	0.396	✓	0.222
1444	chapter 6 3.1	Problem 6	✓	0.257	✓	1.824
1445	chapter 6 3.1	Problem 7	✓	0.872	✓	7.514
1446	chapter 6 3.1	Problem 8	✓	0.905	✓	3.371
1447	chapter 6 3.2	Problem 1	✗	0.485	✓	2.222
1448	chapter 6 3.2	Problem 2	✗	0.385	✓	0.399
1449	chapter 6 3.2	Problem 3	✓	1.55	✓	1.198
1450	chapter 6 3.2	Problem 4	✓	1.345	✓	0.522
1451	chapter 6 3.2	Problem 5	✗	36.693	✗ (Timed out)	600.
1452	chapter 6 3.2	Problem 6	✗	36.755	✗ (Timed out)	600.
1453	chapter 6 3.2	Problem 7	✗	12.231	✗ (Timed out)	600.
1454	chapter 6 3.2	Problem 8	✗	22.713	✗ (Timed out)	600.
1455	chapter 6 3.2	Problem 9	✗	7.635	✓	2.004
1456	chapter 6 3.2	Problem 10	✗	2.638	✓	2.321
1457	chapter 6 3.2	Problem 11	✗	2.038	✓	0.325
1458	chapter 6 3.2	Problem 12	✗	28.228	✗ (Timed out)	600.
1459	chapter 6 3.2	Problem 13	✓	0.665	✓	1.06
1460	chapter 6 3.2	Problem 14	✗	1.182	✓	1.309
1461	chapter 6 3.2	Problem 15	✓	0.992	✓	3.616
1462	chapter 6 3.2	Problem 16	✗	2.467	✓	9.526
1463	chapter 6 3.2	Problem 17	✗	30.834	✗	6.324
1464	chapter 6 3.2	Problem 18	✗	21.359	✗ (Timed out)	600.
1465	chapter 6 4.1	Problem 1	✓	0.015	✓	0.082
1466	chapter 6 4.1	Problem 2	✓	0.15	✓	0.853
1467	chapter 6 4.1	Problem 3	✓	0.193	✓	0.88
1468	chapter 6 4.1	Problem 4	✓	0.379	✓	0.273
1469	chapter 6 4.1	Problem 5	✗	11.097	✓	1.462
1470	chapter 6 4.1	Problem 6	✗ (Timed out)	600.	✓	0.145
1471	chapter 6 4.2	Problem 1	✓	0.021	✓	0.05
1472	chapter 6 4.2	Problem 2	✓	0.024	✓	0.052
1473	chapter 6 4.2	Problem 3	✓	0.146	✓	0.245
1474	chapter 6 4.2	Problem 4	✓	0.192	✓	0.313
1475	chapter 6 4.2	Problem 5	✓	0.377	✓	0.514
1476	chapter 6 4.2	Problem 6	✗	154.289	✓	3.069
1477	chapter 6 4.3	Problem 1	✓	0.216	✓	7.281
1478	chapter 6 4.3	Problem 2	✓	0.065	✓	0.086
1479	chapter 6 4.3	Problem 3	✓	0.548	✓	3.105
1480	chapter 6 4.3	Problem 4	✓	0.718	✓	1.731
1481	chapter 6 4.3	Problem 5	✗	1.231	✓	5.085
1482	chapter 6 4.3	Problem 6	✗	0.604	✓	7.084
1483	chapter 6 4.4	Problem 1	✓	0.217	✓	1.47
1484	chapter 6 4.4	Problem 2	✓	0.065	✓	0.019
1485	chapter 6 4.4	Problem 3	✓	0.581	✓	0.302
1486	chapter 6 4.4	Problem 4	✓	0.675	✓	0.095
1487	chapter 6 4.4	Problem 5	✗	5.643	✓	4.601
1488	chapter 6 4.4	Problem 6	✗	0.59	✓	5.854
1489	chapter 6 4.5	Problem 1	✓	0.387	✓	0.685
1490	chapter 6 4.5	Problem 2	✓	0.296	✓	0.174
1491	chapter 6 4.5	Problem 3	✗ (Timed out)	600.	✓	0.146
1492	chapter 6 4.5	Problem 4	✗	7.248	✓	4.225
1493	chapter 6 4.5	Problem 5	✗	0.739	✓	2.925
1494	chapter 6 4.5	Problem 6	✗	0.66	✓	0.619
1495	chapter 6 5.1	Problem 1	✓	0.037	✓	1.375
1496	chapter 6 5.1	Problem 2	✓	0.007	✓	0.016
1497	chapter 6 5.1	Problem 3	✓	0.19	✓	7.744
1498	chapter 6 5.1	Problem 4	✓	0.189	✓	2.803
1499	chapter 6 5.2	Problem 1	✓	0.025	✓	0.076
1500	chapter 6 5.2	Problem 2	✓	0.142	✓	0.58
1501	chapter 6 5.2	Problem 3	✓	0.155	✓	1.099
1502	chapter 6 5.2	Problem 4	✓	0.25	✓	8.872
1503	chapter 6 5.2	Problem 5	✓	0.057	✓	0.151
1504	chapter 6 5.2	Problem 6	✓	0.491	✓	3.276
1505	chapter 6 6.1	Problem 1	✓	0.202	✓	0.573
1506	chapter 6 6.1	Problem 2	✓	0.164	✓	0.399
1507	chapter 6 6.1	Problem 3	✓	0.15	✓	2.168
1508	chapter 6 6.1	Problem 4	✓	0.376	✓	0.529
1509	chapter 6 6.1	Problem 5	✓	1.431	✓	2.599
1510	chapter 6 6.2	Problem 1	✓	0.391	✓	0.369
1511	chapter 6 6.2	Problem 2	✓	0.397	✓	0.342
1512	chapter 6 6.2	Problem 3	✗ (Timed out)	600.	✓	1.811
1513	chapter 6 6.2	Problem 4	✗ (Timed out)	600.	✓	0.003
1514	chapter 6 6.2	Problem 5	✓	1.448	✓	0.915
1515	chapter 6 6.3	Problem 1	✓	0.206	✓	2.151	Yes
1516	chapter 6 6.3	Problem 2	✓	0.578	✓	2.755	Yes
1517	chapter 6 6.3	Problem 3	✓	0.776	✓	1.302
1518	chapter 6 6.3	Problem 4	✓	0.594	✓	0.001
1519	chapter 6 6.3	Problem 5	✓	1.264	✓	9.882
1520	chapter 6 6.4	Problem 1	✓	0.224	✓	1.952
1521	chapter 6 6.4	Problem 2	✓	0.606	✓	7.615
1522	chapter 6 6.4	Problem 3	✓	0.735	✓	3.336
1523	chapter 6 6.4	Problem 4	✓	0.229	✓	0.001
1524	chapter 6 6.4	Problem 5	✗	1.428	✓	6.583
1525	chapter 6 6.5	Problem 1	✓	138.548	✓	4.329
1526	chapter 6 6.5	Problem 2	✓	0.163	✓	0.178
1527	chapter 6 6.5	Problem 3	✓	0.08	✓	0.701
1528	chapter 6 6.5	Problem 4	✗	65.91	✓	0.78
1529	chapter 6 6.5	Problem 5	✓	0.583	✓	1.234
1530	chapter 6 6.5	Problem 6	✗	20.266	✓	1.013
1531	chapter 6 7.1	Problem 1	✓	0.279	✓	0.609
1532	chapter 6 7.1	Problem 2	✓	0.373	✓	0.634
1533	chapter 6 7.1	Problem 3	✓	0.083	✓	0.198
1534	chapter 6 7.1	Problem 4	✓	0.243	✗ (Timed out)	600.
1535	chapter 6 7.1	Problem 5	✓	0.306	✓	1.649
1536	chapter 6 7.2	Problem 1	✓	0.257	✓	0.49
1537	chapter 6 7.2	Problem 2	✓	0.382	✓	0.521
1538	chapter 6 7.2	Problem 3	✓	0.077	✓	0.183
1539	chapter 6 7.2	Problem 4	✓	0.224	✓	6.19
1540	chapter 6 7.2	Problem 5	✓	0.221	✓	0.237
1541	chapter 6 7.3	Problem 1	✓	0.473	✓	0.759
1542	chapter 6 7.3	Problem 2	✓	0.542	✓	130.065
1543	chapter 6 7.3	Problem 3	✓	0.208	✓	0.411
1544	chapter 6 7.3	Problem 4	✓	0.198	✓	6.602
1545	chapter 6 7.3	Problem 5	✓	0.195	✓	0.371
1546	chapter 6 7.4	Problem 1	✓	0.521	✓	1.01
1547	chapter 6 7.4	Problem 2	✓	0.572	✓	60.283
1548	chapter 6 7.4	Problem 3	✓	0.237	✓	0.465
1549	chapter 6 7.4	Problem 4	✓	0.206	✓	1.787
1550	chapter 6 7.4	Problem 5	✓	0.187	✓	0.08
1551	chapter 6 8.1	Problem 1	✓	0.007	✓	0.013
1552	chapter 6 8.1	Problem 2	✓	0.15	✓	0.101
1553	chapter 6 8.1	Problem 3	✓	0.066	✓	0.023
1554	chapter 6 8.1	Problem 4	✓	0.262	✓	0.974
1555	chapter 6 8.1	Problem 5	✓	0.132	✓	0.076
1556	chapter 6 8.1	Problem 6	✗	0.006	✗	2.427
1557	chapter 6 8.1	Problem 7	✓	2.256	✓	0.787
1558	chapter 6 8.1	Problem 8	✓	0.504	✓	0.689
1559	chapter 6 8.1	Problem 9	✗	0.433	✓	0.624
1560	chapter 6 8.1	Problem 10	✗	0.606	✓	1.06
1561	chapter 6 8.2	Problem 1	✓	0.03	✓	0.062
1562	chapter 6 8.2	Problem 2	✓	0.432	✓	1.986
1563	chapter 6 8.2	Problem 3	✓	2.093	✓	0.038
1564	chapter 6 8.2	Problem 4	✗	0.166	✓	0.99
1565	chapter 6 8.2	Problem 5	✓	0.133	✓	0.038
1566	chapter 6 8.2	Problem 6	✓	0.16	✓	0.033
1567	chapter 6 8.2	Problem 7	✓	0.12	✓	0.235
1568	chapter 6 8.3	Problem 1	✓	0.019	✓	0.096
1569	chapter 6 8.3	Problem 2	✓	0.023	✓	0.041
1570	chapter 6 8.3	Problem 3	✓	0.024	✓	0.029
1571	chapter 6 8.3	Problem 4	✓	0.044	✓	0.056
1572	chapter 6 8.3	Problem 5	✓	0.046	✓	0.026
1573	chapter 6 8.3	Problem 6	✓	0.431	✓	0.811
1574	chapter 6 8.3	Problem 7	✓	2.26	✓	3.259
1575	chapter 6 8.3	Problem 8	✗	136.927	✗ (Timed out)	600.
1576	chapter 6 8.3	Problem 9	✗	0.291	✓	8.895
1577	chapter 6 8.3	Problem 10	✗	0.177	✓	4.102
1578	chapter 6 8.3	Problem 11	✗	44.936	✗	1.705
1579	chapter 6 8.3	Problem 12	✗	1.255	✗	0.894
1580	chapter 7 2.1	Problem 1	✓	0.018	✓	0.089
1581	chapter 7 2.1	Problem 2	✓	0.086	✓	0.657
1582	chapter 7 2.1	Problem 3	✓	0.012	✓	0.124
1583	chapter 7 2.1	Problem 4	✓	0.34	✓	0.191
1584	chapter 7 2.1	Problem 5	✓	0.069	✓	0.189
1585	chapter 7 2.1	Problem 6	✓	0.073	✓	0.098	Yes
1586	chapter 7 2.1	Problem 7	✓	0.051	✓	0.082	Yes
1587	chapter 7 2.1	Problem 8	✗	0.022	✓	2.334
1588	chapter 7 2.1	Problem 9	✓	0.77	✓	0.322
1589	chapter 7 2.2	Problem 1	✓	0.063	✓	0.024
1590	chapter 7 2.2	Problem 2	✓	0.013	✓	0.023
1591	chapter 7 2.2	Problem 3	✓	0.08	✓	0.031
1592	chapter 7 2.2	Problem 4	✓	0.042	✓	0.069
1593	chapter 7 2.2	Problem 5	✓	0.137	✓	0.064
1594	chapter 7 2.2	Problem 6	✓	0.139	✓	0.043
1595	chapter 7 2.2	Problem 7	✓	0.121	✓	0.061
1596	chapter 7 2.2	Problem 8	✓	0.141	✓	0.026
1597	chapter 7 2.2	Problem 9	✓	0.148	✓	0.117
1598	chapter 7 2.3	Problem 1	✓	0.012	✓	0.058
1599	chapter 7 2.3	Problem 2	✓	0.013	✓	0.056
1600	chapter 7 2.3	Problem 3	✓	0.033	✓	0.053
1601	chapter 7 2.3	Problem 4	✓	0.078	✓	0.547
1602	chapter 7 2.3	Problem 5	✓	0.203	✓	0.066
1603	chapter 7 2.4	Problem 1	✓	0.168	✓	0.128
1604	chapter 7 2.4	Problem 2	✓	0.113	✓	0.034
1605	chapter 7 2.4	Problem 3	✓	0.073	✓	0.556
1606	chapter 7 2.4	Problem 4	✓	0.105	✓	1.014
1607	chapter 7 2.4	Problem 5	✓	0.041	✓	0.605
1608	chapter 7 2.4	Problem 6	✗	0.025	✓	0.914
1609	chapter 7 2.4	Problem 7	✗	0.397	✓	0.629
1610	chapter 7 2.4	Problem 8	✓	3.406	✓	1.977
1611	chapter 7 2.4	Problem 9	✓	1.048	✓	6.944
1612	chapter 7 2.4	Problem 10	✓	0.595	✓	2.882
1613	chapter 7 2.4	Problem 11	✓	9.898	✓	1.605
1614	chapter 7 2.4	Problem 12	✓	0.029	✓	0.126
1615	chapter 7 2.4	Problem 13	✓	0.233	✓	0.631
1616	chapter 7 3.1	Problem 1	✓	0.023	✓	0.083
1617	chapter 7 3.1	Problem 2	✓	0.438	✓	0.546
1618	chapter 7 3.1	Problem 3	✓	2.276	✓	1.118
1619	chapter 7 3.1	Problem 4	✗	0.813	✓	1.42
1620	chapter 7 3.1	Problem 5	✓	0.42	✓	0.263
1621	chapter 7 3.1	Problem 6	✓	0.243	✓	1.934
1622	chapter 7 3.1	Problem 7	✓	0.917	✓	6.631
1623	chapter 7 3.1	Problem 8	✓	0.912	✓	3.635
1624	chapter 7 3.2	Problem 1	✓	0.206	✓	0.671
1625	chapter 7 3.2	Problem 2	✓	0.18	✓	0.628
1626	chapter 7 3.2	Problem 3	✓	0.163	✓	0.107
1627	chapter 7 3.2	Problem 4	✓	0.291	✓	0.621
1628	chapter 7 3.2	Problem 5	✓	0.324	✓	12.279
1629	chapter 7 3.2	Problem 6	✗	35.939	✗	36.495
1630	chapter 7 3.2	Problem 7	✗	12.206	✗	420.308
1631	chapter 7 3.2	Problem 8	✗	23.068	✓	63.342
1632	chapter 7 3.2	Problem 9	✓	0.699	✓	4.783
1633	chapter 7 3.2	Problem 10	✗	13.622	✗	21.675
1634	chapter 7 3.2	Problem 11	✓	1.147	✓	3.303
1635	chapter 7 4.1	Problem 1	✓	0.182	✓	0.223
1636	chapter 7 4.1	Problem 2	✓	30.274	✓	0.905
1637	chapter 7 4.1	Problem 3	✓	0.263	✓	0.457
1638	chapter 7 4.1	Problem 4	✓	19.531	✓	1.309
1639	chapter 7 4.1	Problem 5	✓	27.369	✗ (Timed out)	600.
1640	chapter 7 4.2	Problem 1	✓	0.184	✓	0.323
1641	chapter 7 4.2	Problem 2	✓	25.749	✓	0.736
1642	chapter 7 4.2	Problem 3	✓	0.273	✓	0.448
1643	chapter 7 4.2	Problem 4	✓	14.473	✓	1.305
1644	chapter 7 4.2	Problem 5	✓	0.319	✓	0.8
1645	chapter 7 4.2	Problem 6	✓	23.92	✗ (Timed out)	600.
1646	chapter 7 4.3	Problem 1	✓	0.159	✓	0.298
1647	chapter 7 4.3	Problem 2	✓	128.033	✓	6.324
1648	chapter 7 4.3	Problem 3	✓	0.23	✓	0.383
1649	chapter 7 4.3	Problem 4	✗	0.74	✓	3.724
1650	chapter 7 4.3	Problem 5	✓	0.977	✓	1.368
1651	chapter 7 4.3	Problem 6	✗	1.238	✓	8.362
1652	chapter 7 4.3	Problem 7	✓	43.203	✓	24.935
1653	chapter 7 4.4	Problem 1	✓	0.155	✓	0.255
1654	chapter 7 4.4	Problem 2	✓	129.94	✓	6.413
1655	chapter 7 4.4	Problem 3	✓	0.218	✓	0.364
1656	chapter 7 4.4	Problem 4	✗	0.755	✓	5.392
1657	chapter 7 4.4	Problem 5	✓	1.412	✓	1.716
1658	chapter 7 4.4	Problem 6	✓	42.771	✓	21.414
1659	chapter 7 4.5	Problem 1	✓	22.676	✓	3.606
1660	chapter 7 4.5	Problem 2	✓	0.119	✓	4.448
1661	chapter 7 4.5	Problem 3	✓	175.515	✓	2.474
1662	chapter 7 4.5	Problem 4	✓	0.103	✓	0.447
1663	chapter 7 4.5	Problem 5	✓	0.484	✓	1.509
1664	chapter 7 5.1	Problem 1	✓	0.033	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.013
1665	chapter 7 5.1	Problem 2	✗	0.297	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	3.092
1666	chapter 7 5.1	Problem 3	✓	0.054	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.134
1667	chapter 7 5.1	Problem 4	✗	0.052	✓	2.784
1668	chapter 7 5.1	Problem 5	✗	1.889	✓ Contains RootOf and unresolved integrals \(\ln ^n(x)\)	1.102
1669	chapter 7 5.2	Problem 1	✓	0.724	✓ Answer has unresolved integrals	2.85
1670	chapter 7 5.2	Problem 2	✓	1.034	✓ Answer has unresolved integrals	2.128
1671	chapter 7 5.2	Problem 3	✓ Generated internal errors from solve : inconsistent or redundant transcendental equation	0.118	✓ Answer has unresolved integrals and RootOf	1.658
1672	chapter 7 5.2	Problem 4	✗	0.424	✓	1.842
1673	chapter 7 5.2	Problem 5	✓	2.545	✓	3.123
1674	chapter 7 6.1	Problem 1	✓	0.2	✓	0.413
1675	chapter 7 6.1	Problem 2	✓	0.266	✓	0.637
1676	chapter 7 6.1	Problem 3	✓	0.122	✓	0.96
1677	chapter 7 6.1	Problem 4	✓	128.168	✓	4.881
1678	chapter 7 6.1	Problem 5	✓	3.66	✓	0.829
1679	chapter 7 6.1	Problem 6	✗	2.077	✓	8.537
1680	chapter 7 6.2	Problem 1	✓	0.211	✓	0.217
1681	chapter 7 6.2	Problem 2	✓	1.168	✓	0.605
1682	chapter 7 6.2	Problem 3	✓	0.277	✓	0.495
1683	chapter 7 6.2	Problem 4	✓	130.769	✓	2.738
1684	chapter 7 6.2	Problem 5	✓	3.163	✓	0.645
1685	chapter 7 6.2	Problem 6	✗	1.98	✓	4.49
1686	chapter 7 6.3	Problem 1	✓	0.164	✓	0.119
1687	chapter 7 6.3	Problem 2	✓	0.341	✓	3.106
1688	chapter 7 6.3	Problem 3	✓	0.23	✓	0.381
1689	chapter 7 6.3	Problem 4	✓	36.662	✓	3.307
1690	chapter 7 6.3	Problem 5	✗	1.458	✓	2.179
1691	chapter 7 6.4	Problem 1	✓	0.168	✓	0.113
1692	chapter 7 6.4	Problem 2	✓	0.487	✓	1.271
1693	chapter 7 6.4	Problem 3	✓	0.229	✓	0.347
1694	chapter 7 6.4	Problem 4	✓	40.294	✓	2.89
1695	chapter 7 6.4	Problem 5	✓	2.898	✓	7.26
1696	chapter 7 6.2	Problem 6	✗	1.455	✓	8.072
1697	chapter 7 6.5	Problem 1	✓	0.268	✓	0.095
1698	chapter 7 6.5	Problem 2	✗	72.014	✓	3.815
1699	chapter 7 6.5	Problem 3	✗	32.525	✓	3.259
1700	chapter 7 6.5	Problem 4	✗ (Timed out)	600.	✓	6.869
1701	chapter 7 6.5	Problem 5	✗	10.27	✓	1.145
1702	chapter 7 7.1	Problem 1	✓	0.093	✓	0.128
1703	chapter 7 7.1	Problem 2	✓	0.772	✓	1.157
1704	chapter 7 7.1	Problem 3	✗	0.426	✓	0.787
1705	chapter 7 7.1	Problem 4	✗	0.718	✓	0.99
1706	chapter 7 7.1	Problem 5	✗ Generates Solve::incnst: Inconsistent or redundant transcendental equation	0.406	✗ (Timed out)	600.
1707	chapter 7 7.1	Problem 6	✗ Generates Solve::incnst: Inconsistent or redundant transcendental equation	0.283	✗ (Timed out)	600.
1708	chapter 7 7.2	Problem 1	✓	0.09	✓ Answer contains unresolved integrals	0.148
1709	chapter 7 7.2	Problem 2	✓	0.652	✓	0.04
1710	chapter 7 7.2	Problem 3	✗	0.403	✓	0.714
1711	chapter 7 7.2	Problem 4	✗	0.365	✓	5.933
1712	chapter 7 7.2	Problem 5	✗	0.491	✓	2.659
1713	chapter 7 7.3	Problem 1	✓	0.352	✓	0.278
1714	chapter 7 7.3	Problem 2	✓	0.169	✓	1.051
1715	chapter 7 7.3	Problem 3	✗	0.252	✓	0.499
1716	chapter 7 7.3	Problem 4	✗	0.391	✓	144.773
1717	chapter 7 7.3	Problem 5	✓	0.283	✓	1.504
1718	chapter 7 7.4	Problem 1	✓	0.395	✓	0.53
1719	chapter 7 7.4	Problem 2	✓	0.144	✓	0.451
1720	chapter 7 7.4	Problem 3	✗	0.271	✓	0.574
1721	chapter 7 7.4	Problem 4	✗	0.496	✓	9.871
1722	chapter 7 7.4	Problem 5	✓	0.286	✓	1.002
1723	chapter 7 8.1	Problem 1	✓	0.018	✓	0.455
1724	chapter 7 8.1	Problem 2	✓	0.152	✓	0.115
1725	chapter 7 8.1	Problem 3	✓	0.07	✓	0.022
1726	chapter 7 8.1	Problem 4	✓	0.296	✓	3.855
1727	chapter 7 8.1	Problem 5	✗	0.231	✗	3.164
1728	chapter 7 8.1	Problem 6	✗	23.767	✓ Gives Warning: Incomplete separation	45.413
1729	chapter 7 8.1	Problem 7	✓	0.522	✓	1.044
1730	chapter 7 8.1	Problem 8	✗	0.429	✓	0.698
1731	chapter 7 8.1	Problem 9	✗	0.605	✓	0.934
1732	chapter 7 8.2	Problem 1	✗	0.146	✓	0.064
1733	chapter 7 8.2	Problem 2	✗	0.166	✓	2.295
1734	chapter 7 8.2	Problem 3	✗	0.184	✓	0.05
1735	chapter 7 8.2	Problem 4	✓	0.23	✓	0.499
1736	chapter 7 8.2	Problem 5	✓	0.852	✓	1.701
1737	chapter 7 8.2	Problem 6	✗	36.085	✗	131.687
1738	chapter 7 8.2	Problem 7	✗	0.283	✓	2.989
1739	chapter 7 8.2	Problem 8	✗	0.271	✓	5.098
1740	chapter 7 8.3	Problem 1	✓ Kernel message inconsistent or redundant transcendental equation	0.032	✓	0.111
1741	chapter 7 8.3	Problem 2	✗	0.037	✓	0.184
1742	chapter 7 8.3	Problem 3	✓	0.039	✓	0.112
1743	chapter 7 8.3	Problem 4	✗	0.082	✓	0.111
1744	chapter 7 8.3	Problem 5	✓	0.565	✓	5.501
1745	chapter 7 8.3	Problem 6	✗ (Timed out)	600.	✓	8.265
1746	chapter 7 8.3	Problem 7	✗	3.194	✓	8.611
1747	chapter 7 8.3	Problem 8	✗	0.299	✓	17.509
1748	chapter 7 8.3	Problem 9	✗	0.276	✓	23.537
1749	chapter 7 8.3	Problem 10	✗	45.123	✗	2.031
1750	chapter 7 8.3	Problem 11	✗	0.094	✗	0.875
1751	chapter 8 2.1	Problem 1	✓	0.023	✓	0.362
1752	chapter 8 2.1	Problem 2	✓	0.089	✓	0.757
1753	chapter 8 2.1	Problem 3	✓	0.019	✓	0.352
1754	chapter 8 2.1	Problem 4	✓	0.412	✓	0.862
1755	chapter 8 2.1	Problem 5	✓	0.07	✓	0.194
1756	chapter 8 2.1	Problem 6	✓	0.081	✓	0.333
1757	chapter 8 2.1	Problem 7	✓	0.053	✓	0.233
1758	chapter 8 2.1	Problem 8	✗	0.022	✓	3.04
1759	chapter 8 2.1	Problem 9	✓	0.797	✓	0.923
1760	chapter 8 2.2	Problem 1	✓	0.066	✓	0.122
1761	chapter 8 2.2	Problem 2	✓	0.02	✓	0.034
1762	chapter 8 2.2	Problem 3	✓	0.081	✓	0.026
1763	chapter 8 2.2	Problem 4	✓	0.559	✓	0.592
1764	chapter 8 2.2	Problem 5	✓	0.131	✓	0.377
1765	chapter 8 2.2	Problem 6	✓	0.147	✓	0.306
1766	chapter 8 2.2	Problem 7	✓	0.122	✓	0.109
1767	chapter 8 2.2	Problem 8	✓	0.154	✓	0.027
1768	chapter 8 2.2	Problem 9	✓	0.101	✓	0.117
1769	chapter 8 2.3	Problem 1	✓	0.012	✓	0.119
1770	chapter 8 2.3	Problem 2	✓	0.015	✓	0.243
1771	chapter 8 2.3	Problem 3	✓	0.035	✓	0.071
1772	chapter 8 2.3	Problem 4	✓	0.043	✓	1.217
1773	chapter 8 2.3	Problem 5	✓	0.131	✓	0.138
1774	chapter 8 2.4	Problem 1	✓	0.18	✓	0.146
1775	chapter 8 2.4	Problem 2	✓	0.123	✓	0.043
1776	chapter 8 2.4	Problem 3	✓	0.078	✓	0.579
1777	chapter 8 2.4	Problem 4	✓	0.107	✓	1.027
1778	chapter 8 2.4	Problem 5	✓	0.025	✓	0.698
1779	chapter 8 2.4	Problem 6	✗	0.026	✓	0.191
1780	chapter 8 2.4	Problem 7	✗	0.422	✓	0.948
1781	chapter 8 2.4	Problem 8	✓	3.298	✓	4.082
1782	chapter 8 2.4	Problem 9	✓	1.22	✓	4.4
1783	chapter 8 2.4	Problem 10	✓	0.61	✓	2.042
1784	chapter 8 2.4	Problem 11	✗	18.488	✓	7.054
1785	chapter 8 2.4	Problem 12	✓	0.032	✓	0.122
1786	chapter 8 2.4	Problem 13	✓	0.233	✓	0.68
1787	chapter 8 3.1	Problem 1	✓	0.025	✓	0.105
1788	chapter 8 3.1	Problem 2	✓	0.147	✓	0.182
1789	chapter 8 3.1	Problem 3	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	2.317	✓	0.334
1790	chapter 8 3.1	Problem 4	✗	1.715	✓	1.582
1791	chapter 8 3.1	Problem 5	✓	0.413	✓	0.345
1792	chapter 8 3.1	Problem 6	✗	1.718	✓	0.568
1793	chapter 8 3.1	Problem 7	✓	0.919	✓	8.124
1794	chapter 8 3.1	Problem 8	✓	0.92	✓	3.83
1795	chapter 8 3.2	Problem 1	✓	0.275	✓	1.848
1796	chapter 8 3.2	Problem 2	✓	0.24	✓	0.158
1797	chapter 8 3.2	Problem 3	✓	0.196	✓	0.669
1798	chapter 8 3.2	Problem 4	✓	0.359	✓	0.407
1799	chapter 8 3.2	Problem 5	✓	0.351	✓	3.97
1800	chapter 8 3.2	Problem 6	✗	36.255	✓	290.078
1801	chapter 8 3.2	Problem 7	✗	12.202	✗	440.927
1802	chapter 8 3.2	Problem 8	✗	23.123	✓	142.889
1803	chapter 8 3.2	Problem 9	✓	0.698	✓	1.391
1804	chapter 8 3.2	Problem 10	✗	1.16	✓	2.652
1805	chapter 8 3.2	Problem 11	✓	1.175	✓	6.49
1806	chapter 8 4.1	Problem 1	✓	0.036	✓	0.362
1807	chapter 8 4.1	Problem 2	✓	38.447	✓	0.524
1808	chapter 8 4.1	Problem 3	✓	0.121	✓	0.564
1809	chapter 8 4.1	Problem 4	✓	19.097	✓	2.685
1810	chapter 8 4.1	Problem 5	✗	2.703	✓	4.837
1811	chapter 8 4.2	Problem 1	✓	0.04	✓	0.151
1812	chapter 8 4.2	Problem 2	✓	34.255	✓	0.46
1813	chapter 8 4.2	Problem 3	✓	0.121	✓	0.002
1814	chapter 8 4.2	Problem 4	✓	14.477	✓	0.46
1815	chapter 8 4.2	Problem 5	✗	2.768	✓	2.294
1816	chapter 8 4.3	Problem 1	✓	0.038	✓	0.483
1817	chapter 8 4.3	Problem 2	✓	87.321	✓	7.235
1818	chapter 8 4.3	Problem 3	✓	0.12	✓	0.02
1819	chapter 8 4.3	Problem 4	✗	0.77	✓	4.631
1820	chapter 8 4.3	Problem 5	✓	1.009	✓	2.963
1821	chapter 8 4.3	Problem 6	✗	2.432	✓	2.457
1822	chapter 8 4.4	Problem 1	✓	0.039	✓	0.345
1823	chapter 8 4.4	Problem 2	✓	63.543	✓	6.766
1824	chapter 8 4.4	Problem 3	✓	0.102	✓	0.055
1825	chapter 8 4.4	Problem 4	✗	0.783	✓	1.01
1826	chapter 8 4.4	Problem 5	✓	1.506	✓	0.763
1827	chapter 8 4.4	Problem 6	✗	2.191	✓	1.642
1828	chapter 8 4.5	Problem 1	✓	22.865	✓	0.387
1829	chapter 8 4.5	Problem 2	✓	0.123	✓	0.156
1830	chapter 8 4.5	Problem 3	✗	182.336	✓	1.754
1831	chapter 8 4.5	Problem 4	✓	0.112	✓	0.022
1832	chapter 8 4.5	Problem 5	✓	0.467	✓	1.497
1833	chapter 8 5.1	Problem 1	✓	0.027	✓	0.023
1834	chapter 8 5.1	Problem 2	✓	0.052	✓	0.287
1835	chapter 8 5.1	Problem 3	✓	0.052	✓	0.072
1836	chapter 8 5.1	Problem 4	✗	0.048	✓	1.972
1837	chapter 8 5.1	Problem 5	✗	0.041	✓	1.121
1838	chapter 8 5.2	Problem 1	✗	0.35	✓	2.341
1839	chapter 8 5.2	Problem 2	✓	0.772	✓	0.401
1840	chapter 8 5.2	Problem 3	✓	0.079	✗ (Timed out)	600.
1841	chapter 8 5.2	Problem 4	✗	0.601	✓	1.017
1842	chapter 8 5.2	Problem 5	✓	0.65	✓	0.945
1843	chapter 8 6.1	Problem 1	✓	0.037	✓	0.878
1844	chapter 8 6.1	Problem 2	✓	0.262	✓	0.561
1845	chapter 8 6.1	Problem 3	✗	2.999	✓	3.757
1846	chapter 8 6.1	Problem 4	✗	69.476	✓	8.183
1847	chapter 8 6.1	Problem 5	✓	66.629	✓	3.912
1848	chapter 8 6.1	Problem 6	✗	1.251	✓	10.076
1849	chapter 8 6.2	Problem 1	✓	0.042	✓	0.415
1850	chapter 8 6.2	Problem 2	✓	1.107	✓	0.296
1851	chapter 8 6.2	Problem 3	✓	0.099	✓	1.25
1852	chapter 8 6.2	Problem 4	✗	70.779	✓	6.045
1853	chapter 8 6.2	Problem 5	✓	99.251	✓	1.097
1854	chapter 8 6.2	Problem 6	✗	1.263	✓	5.153
1855	chapter 8 6.3	Problem 1	✓	0.037	✓	0.442
1856	chapter 8 6.3	Problem 2	✓	0.36	✓	0.633
1857	chapter 8 6.3	Problem 3	✓	0.104	✓	0.559
1858	chapter 8 6.3	Problem 4	✓	29.167	✓	1.132
1859	chapter 8 6.3	Problem 5	✗	1.175	✓	3.077
1860	chapter 8 6.4	Problem 1	✓	0.035	✓	0.288
1861	chapter 8 6.4	Problem 2	✓	0.66	✓	0.816
1862	chapter 8 6.4	Problem 3	✓	0.108	✓	0.471
1863	chapter 8 6.4	Problem 4	✓	42.051	✓	12.475
1864	chapter 8 6.4	Problem 5	✗	1.151	✓	2.57
1865	chapter 8 6.5	Problem 1	✓	0.123	✓	0.975
1866	chapter 8 6.5	Problem 2	✗	69.92	✓	5.665
1867	chapter 8 6.5	Problem 3	✗	32.475	✓	5.839
1868	chapter 8 6.5	Problem 4	✗	1.757	✓	2.677
1869	chapter 8 6.5	Problem 5	✗	1.472	✓	2.936
1870	chapter 8 7.1	Problem 1	✓	0.158	✓	0.209
1871	chapter 8 7.1	Problem 2	✓	0.625	✓	0.169
1872	chapter 8 7.1	Problem 3	✗	0.907	✓	0.314
1873	chapter 8 7.1	Problem 4	✗	0.756	✓	0.448
1874	chapter 8 7.1	Problem 5	✓	1.906	✗ (Timed out)	600.
1875	chapter 8 7.1	Problem 6	✗	0.776	✓	1.794
1876	chapter 8 7.2	Problem 1	✓	0.046	✓	0.119
1877	chapter 8 7.2	Problem 2	✓	0.52	✓	0.07
1878	chapter 8 7.2	Problem 3	✗	0.864	✓	0.471
1879	chapter 8 7.2	Problem 4	✗	0.732	✓	0.348
1880	chapter 8 7.2	Problem 5	✓	2.253	✓	8.96
1881	chapter 8 7.2	Problem 6	✗	0.801	✓	0.379
1882	chapter 8 7.3	Problem 1	✓	0.288	✓	0.44
1883	chapter 8 7.3	Problem 2	✓	0.198	✓	0.57
1884	chapter 8 7.3	Problem 3	✗	0.619	✓	1.09
1885	chapter 8 7.3	Problem 4	✗	0.58	✓	809.374
1886	chapter 8 7.3	Problem 5	✓	0.283	✓	1.335
1887	chapter 8 7.4	Problem 1	✓	0.321	✓	0.247
1888	chapter 8 7.4	Problem 2	✓	0.159	✓	0.101
1889	chapter 8 7.4	Problem 3	✗	0.662	✓	0.474
1890	chapter 8 7.4	Problem 4	✗	0.595	✓	155.098
1891	chapter 8 7.4	Problem 5	✓	0.262	✓	1.518
1892	chapter 8 8.1	Problem 1	✓	0.019	✓	0.111
1893	chapter 8 8.1	Problem 2	✓	0.146	✓	0.076
1894	chapter 8 8.1	Problem 3	✓	0.065	✓	0.069
1895	chapter 8 8.1	Problem 4	✓	0.285	✓	1.397
1896	chapter 8 8.1	Problem 5	✓	0.146	✓	0.319
1897	chapter 8 8.1	Problem 6	✓	2.321	✓	2.034
1898	chapter 8 8.1	Problem 7	✓	0.54	✓	0.27
1899	chapter 8 8.1	Problem 8	✗	0.362	✓	0.626
1900	chapter 8 8.1	Problem 9	✗	0.633	✓	1.217
1901	chapter 8 8.2	Problem 1	✗	0.15	✓	0.126
1902	chapter 8 8.2	Problem 2	✗	0.17	✓	0.358
1903	chapter 8 8.2	Problem 3	✗	0.18	✓	0.129
1904	chapter 8 8.2	Problem 4	✓	0.145	✓	0.313
1905	chapter 8 8.2	Problem 5	✓	1.072	✗	11.072
1906	chapter 8 8.2	Problem 6	✗	0.347	✓	1.605
1907	chapter 8 8.2	Problem 7	✗	21.061	✗	17.134
1908	chapter 8 8.2	Problem 8	✗	20.196	✗	5.201
1909	chapter 8 8.3	Problem 1	✓	0.031	✓	0.068
1910	chapter 8 8.3	Problem 2	✗	0.036	✓	0.095
1911	chapter 8 8.3	Problem 3	✓	0.04	✓	0.05
1912	chapter 8 8.3	Problem 4	✗	0.085	✓	0.073
1913	chapter 8 8.3	Problem 5	✓	0.572	✓	2.252
1914	chapter 8 8.3	Problem 6	✗ (Timed out)	600.	✓	3.546
1915	chapter 8 8.3	Problem 7	✗	141.996	✗ (Timed out)	600.
1916	chapter 8 8.3	Problem 8	✗	20.778	✗	3.442
1917	chapter 8 8.3	Problem 9	✗	20.206	✗	2.717
1918	chapter 8 8.3	Problem 10	✗	46.976	✓	0.487
1919	chapter 8 8.3	Problem 11	✗	1.324	✗	2.822
1920	chapter 9 2.1	Problem 1	✓	0.15	✓	0.064
1921	chapter 9 2.1	Problem 2	✓	0.178	✓	0.489
1922	chapter 9 2.1	Problem 3	✓	0.107	✓	0.079
1923	chapter 9 2.1	Problem 4	✓	0.04	✓	0.028
1924	chapter 9 2.1	Problem 5	✓	0.135	✓	0.055
1925	chapter 9 2.1	Problem 6	✓	0.003	✗ (Timed out)	600.
1926	chapter 9 2.1	Problem 7	✓	0.186	✓	0.214
1927	chapter 9 2.1	Problem 8	✓	0.057	✓	0.023
1928	chapter 9 2.1	Problem 9	✓	0.084	✓	0.492
1929	chapter 9 2.2	Problem 1	✓	0.118	✓	0.07
1930	chapter 9 2.2	Problem 2	✓	0.053	✓	0.037
1931	chapter 9 2.2	Problem 3	✓	0.146	✓	0.073
1932	chapter 9 2.2	Problem 4	✗ (Timed out)	600.	✓	159.815
1933	chapter 9 2.2	Problem 5	✓	0.021	✓	0.085
1934	chapter 9 2.2	Problem 6	✓	0.019	✓	0.031
1935	chapter 9 2.2	Problem 7	✓	0.263	✓	0.3
1936	chapter 9 2.3	Problem 1	✓	0.17	✓	0.201
1937	chapter 9 2.3	Problem 2	✓	0.139	✓	0.044
1938	chapter 9 2.3	Problem 3	✓	0.101	✓	0.141
1939	chapter 9 2.3	Problem 4	✗ (Timed out)	600.	✓	13.275
1940	chapter 9 2.3	Problem 5	✓	0.425	✓	0.215
1941	chapter 9 2.4	Problem 1	✓	0.05	✓	0.241
1942	chapter 9 2.4	Problem 2	✓	0.046	✓	0.049
1943	chapter 9 2.4	Problem 3	✓	0.155	✓	0.846
1944	chapter 9 2.4	Problem 4	✓	0.074	✓	0.135
1945	chapter 9 2.4	Problem 5	✓	0.037	✓	0.059
1946	chapter 9 2.4	Problem 6	✓	0.086	✓	0.155
1947	chapter 9 2.4	Problem 7	✓	6.779	✓	5.993
1948	chapter 9 2.4	Problem 8	✓	3.095	✓	4.6
1949	chapter 9 2.4	Problem 9	✗	34.528	✗ (Timed out)	600.
1950	chapter 9 2.4	Problem 10	✓	0.039	✓	0.134
1951	chapter 9 2.4	Problem 11	✓	0.084	✓	0.408
1952	chapter 9 2.4	Problem 12	✗	0.027	✓	1.191
1953	chapter 9 2.4	Problem 13	✓	3.965	✓	3.047
1954	chapter 9 2.4	Problem 14	✓	0.766	✓	0.394
1955	chapter 9 3.1	Problem 1	✓	0.16	✓	0.174
1956	chapter 9 3.1	Problem 2	✓	0.075	✓	0.045
1957	chapter 9 3.1	Problem 3	✓	0.18	✓	0.038
1958	chapter 9 3.1	Problem 4	✓	0.214	✓	0.078
1959	chapter 9 3.1	Problem 5	✗	2.405	✓	2.145
1960	chapter 9 3.1	Problem 6	✓	1.611	✓	0.623
1961	chapter 9 3.1	Problem 7	✗ (Timed out)	600.	✓	30.431
1962	chapter 9 3.2	Problem 1	✓	0.291	✓	0.534
1963	chapter 9 3.2	Problem 2	✓	0.138	✓	0.079
1964	chapter 9 3.2	Problem 3	✗	0.182	✓	0.527
1965	chapter 9 3.2	Problem 4	✗	3.544	✓	6.33
1966	chapter 9 3.2	Problem 5	✓	4.263	✓	1.716
1967	chapter 9 3.2	Problem 6	✗	2.537	✓	3.282
1968	chapter 9 3.2	Problem 7	✓	0.313	✓	0.121
1969	chapter 9 3.2	Problem 8	✓	1.639	✓	0.588
1970	chapter 9 3.2	Problem 9	✗ (Timed out)	600.	✓	2.076
1971	chapter 9 3.2	Problem 10	✗	1.985	✓	2.587
1972	chapter 9 4.1	Problem 1	✓	173.597	✓	1.557
1973	chapter 9 4.1	Problem 2	✓	4.88	✓	2.275
1974	chapter 9 4.1	Problem 3	✓	0.271	✓	1.059
1975	chapter 9 4.1	Problem 4	✗	189.794	✓	2.993
1976	chapter 9 4.1	Problem 5	✓	143.935	✓	12.876
1977	chapter 9 4.2	Problem 1	✓	128.583	✓	1.06
1978	chapter 9 4.2	Problem 2	✓	3.276	✓	0.718
1979	chapter 9 4.2	Problem 3	✓	0.179	✓	0.335
1980	chapter 9 4.2	Problem 4	✗	204.129	✓	0.931
1981	chapter 9 4.2	Problem 5	✓	76.224	✓	5.112
1982	chapter 9 4.3	Problem 1	✓	93.654	✓	0.442
1983	chapter 9 4.3	Problem 2	✓	3.837	✓	6.682
1984	chapter 9 4.3	Problem 3	✓	0.351	✓	1.564
1985	chapter 9 4.3	Problem 4	✗	212.448	✓	3.452
1986	chapter 9 4.3	Problem 5	✓	296.565	✓	7.113
1987	chapter 9 4.4	Problem 1	✓	80.767	✓	0.921
1988	chapter 9 4.4	Problem 2	✓	4.81	✓	1.874
1989	chapter 9 4.4	Problem 3	✓	0.28	✓	1.001
1990	chapter 9 4.4	Problem 4	✗	214.644	✓	4.248
1991	chapter 9 4.4	Problem 5	✓	299.377	✓	8.309
1992	chapter 9 4.5	Problem 1	✓	148.35	✓	0.111
1993	chapter 9 4.5	Problem 2	✓	68.197	✓	0.186
1994	chapter 9 4.5	Problem 3	✗	191.034	✓	0.169
1995	chapter 9 4.5	Problem 4	✓	0.261	✓	0.047
1996	chapter 9 4.5	Problem 5	✓	156.234	✓	1.52
1997	chapter 9 5.1	Problem 1	✓	0.331	✓	0.313
1998	chapter 9 5.1	Problem 2	✓	0.103	✓	0.372
1999	chapter 9 5.1	Problem 3	✗	0.686	✓	0.158
2000	chapter 9 5.1	Problem 4	✗	0.435	✓	0.387
2001	chapter 9 5.1	Problem 5	✓	1.7	✓	110.875

Handbook of nonlinear partial differential equations

Table 1.17: Handbook of nonlinear partial differential equations breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
2002	chapter 1 1.1	Problem 1	✗	0.307	✗	5.575
2003	chapter 1 1.1	Problem 2	✓	0.085	✓	0.717
2004	chapter 1 1.2	Problem 1	✗	0.075	✗	14.799
2005	chapter 1 1.2	Problem 2	✗	0.087	✓	0.354
2006	chapter 1 1.2	Problem 3	✗	0.182	✓	0.493
2007	chapter 1 1.2	Problem 4	✗	0.154	✓	0.629
2008	chapter 1 1.2	Problem 5	✗	0.841	✓	1.17
2009	chapter 1 1.3	Problem 1	✗	0.007	✗	0.029
2010	chapter 1 1.3	Problem 2	✗	0.005	✗	0.014
2011	chapter 1 1.3	Problem 3	✗	0.009	✗	0.072
2012	chapter 1 1.3	Problem 4	✗	0.011	✗	0.02
2013	chapter 1 1.4	Problem 1	✗	0.008	✗	0.013