1.4 Result lookup table on one web page

Miscellaneous PDE’s

Table 1.13: 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 \(u_t+ u_x = 0\)	✓	0.046	✓	0.014	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)	✓	0.007	✓	0.061	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)	✓	0.006	✓	0.023	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)	✓	0.005	✓	0.047	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)	✓	0.005	✓	0.023	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	✓	0.073	✓	0.052	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	✓	0.023	✓	0.157	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	✓	0.006	✓	0.107	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	✓	0.032	✓	0.213	Yes	Yes
10	General first order	Transport equation \(u_t+\frac {1}{x^2+4} u_x= 0\) IC \(u(x,0)=e^{x^3+12 x}\)	✓	0.015	✓	0.085	Yes	Yes
11	General first order	\(3 u_x + 5 u_y = x\)	✓	0.007	✓	0.012	Yes
12	General first order	\(x u_y + y u_x = -4 x y u\) and \(u(x,0)=e^{-x^2}\)	✓	0.024	✓	0.155	Yes
13	General first order	\(u_t + u_x = 0\) and \(u(x,0)=\sin x\) and \(u(0,t)=0\)	✓	0.121	✓	0.374	Yes
14	General first order	\(u_t+ c u_x = 0\) and \(u(x,0)=e^{-x^2}\)	✓	0.005	✓	0.026	Yes
15	General first order	(Haberman 12.2.2) \(\omega _t -3 \omega _x = 0\) and \(\omega (x,0)=\cos x\)	✓	0.004	✓	0.021	Yes
16	General first order	(Haberman 12.2.4) \(\omega _t +c \omega _x = 0\) and \(\omega (x,0)=f(x)\) and \(\omega (0,t)=h(t)\)	✗	1.705	✓ Solution contains unresolved invlaplace calls	0.432	Yes
17	General first order	(Haberman 12.2.5 (a)) \(\omega _t +c \omega _x = e^{2 x}\) and \(\omega (x,0)=f(x)\)	✓	0.048	✓	0.086	Yes
18	General first order	(Haberman 12.2.5 (d)) \(\omega _t +3 t \omega _x = \omega (x,t)\) and \(\omega (x,0)=f(x)\)	✓	1.118	✓	0.096	Yes
19	General first order	\( 2 u_x + 5 u_y = u^2(x,y) + 1\)	✓	0.16	✓	0.038	Yes
20	General first order	Clairaut equation \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\)	✓	0.054	✓	0.191	Yes
21	General first order	Clairaut equation. \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\) with \(u(x,0)= \frac {1}{2} (1-x^2)\)	✓	0.014	✓	0.813
22	General first order	Clairaut equation. \(u = x u_x+ y u_y + \sin ( u_x + u_y )\)	✓	0.054	✓	0.022
23	General first order	Recover a function from its gradient vector	✓	0.032	✓	0.089
24	General first order	\(x f_y - f_x = \frac {g(x)}{h(y)} f^2\)	✓	0.055	✓	0.04	Yes
25	General first order	\(f_x + (f_y)^2 = f(x,y,z)+z\)	✓	0.132	✓	0.533
26	General first order	\(x u_x+y u_y=u\) (Example 3.5.1 in Lokenath Debnath)	✓	0.017	✓	0.011	Yes
27	General first order	\(x u_x+y u_y=n u\) Example 3.5.2 in Lokenath Debnath	✓	0.018	✓	0.01	Yes
28	General first order	\(x^2 u_x+y^2 u_y=(x+y) u\) Example 3.5.3 in Lokenath Debnath	✓	0.12	✓	0.027	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.	✓	2.291	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)	✓	0.489	✓	0.162	Yes
31	General first order	\(u_x-u_y=1\) with \(u(x,0)=x^2\) Example 3.5.6 in Lokenath Debnath	✓	0.005	✓	0.019
32	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	✗	2.078	✗	0.545
33	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	✓	0.235	✓	0.063
34	General first order	\(u_t+u u_x=x\) with \(u(x,0)=f(x)\) Example 3.5.11 in Lokenath Debnath.	✗	3.678	✓	0.256
35	General first order	\(u_x=0\) Problem 3.3(a) Lokenath Debnath	✓	0.004	✓	0.003
36	General first order	\(a u_x+b u_y=0\) Problem 3.3(b) Lokenath Debnath	✓	0.009	✓	0.01
37	General first order	\(u_x+y u_y=0\) Problem 3.3(c) Lokenath Debnath	✓	0.029	✓	0.011
38	General first order	\((1+x^2) u_x+ u_y=0\) Problem 3.3(d) Lokenath Debnath	✓	0.009	✓	0.01
39	General first order	\(2 x y u_x+(x^2+y^2)u_y=0\) Problem 3.3(e) Lokenath Debnath	✓	0.126	✓	0.033
40	General first order	\((y+u) u_x+y u_y=x-y\) Problem 3.3(f) Lokenath Debnath	✗	105.34	✓	0.527
41	General first order	\(y^2 u_x- x y u_y=x(u-2 y)\) Problem 3.3(g) Lokenath Debnath	✓	0.137	✓	0.038
42	General first order	\(y u_y - x u_x = 1\) Problem 3.3(h) Lokenath Debnath	✓	0.02	✓	0.009
43	General first order	\(u_x+2 x y^2 u_y=0\) Problem 3.4 Lokenath Debnath	✓	0.126	✓	0.014
44	General first order	\(3 u_x+2 u_y=0\) with \(u(x,0)=\sin x\). Problem 3.5(a) Lokenath Debnath	✓	0.005	✓	0.018
45	General first order	\(y u_x+x u_y=0\) with \(u(0,y)=e^{-y^2}\). Problem 3.5(b) Lokenath Debnath	✓	0.023	✓	0.033
46	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	✓	0.017	✓	0.008
47	General first order	\(u_x+x u_y=0\) with \(u(0,y)=\sin y\). Problem 3.5(d) Lokenath Debnath	✓	0.006	✓	0.021
48	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	✗	3.803	✗	0.523
49	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	✓	0.012	✓	0.097
50	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	✓	0.021	✓	0.01
51	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	✓	0.065	✓	0.065
52	General first order	\(x u_x+(x+y)u_y=u+1\) with \(u(x,0)=x^2\) Problem 3.5(i) Lokenath Debnath	✓	0.027	✓	0.07
53	General first order	\(x u_x+y u_y+z u_z=0\) Problem 3.8(a) .Lokenath Debnath	✓	0.032	✓	0.014
54	General first order	\(x^2 u_x+y^2 u_y+z(x+y)u_z=0\) Problem 3.8(b) Lokenath Debnath	✓	0.12	✓	0.019
55	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	✓	0.049	✓	0.977
56	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	✓	0.114	✓	0.068
57	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	✗	45.677	✗	0.255
58	General first order	\(u_x+x u_y=y\) with \(u(0,y)=y^2\) Problem 3.9(a) Lokenath Debnath	✓	0.007	✓	0.021
59	General first order	\(u_x+x u_y=y\) with \(u(1,y)=2 y\) Problem 3.9(b) Lokenath Debnath	✓	0.007	✓	0.009
60	General first order	\((u_x+u_y)^2-u^2=0\). Problem 3.10 Lokenath Debnath	✓	0.011	✓	0.017
61	General first order	\((y+u)u_x+y u_y=x-y\) with \(u(x,1)=1+x\). Problem 3.11 Lokenath Debnath	✗	211.318	✗	1.067
62	General first order	\(2 x u_x+(x+1) u_y=y\) with \(u(1,y)=2 y\). Problem 3.14(d) Lokenath Debnath	✓	0.021	✓	0.161
63	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	✓	0.034	✓	0.073
64	General first order	\(y^2 u_x+(x y) u_y=x\) with \(u(x,1)=x^2\). Problem 3.14(f) Lokenath Debnath	✓	0.035	✓	0.05
65	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	✓	0.019	✓	0.016
66	General first order	\(u_x+u u_y=1\) with \(u(0,y)=a y\). Problem 3.16(a) Lokenath Debnath	✓	0.084	✓	0.026
67	General first order	\((y+u)u_x+(x+u)u_y=x+y\). Problem 3.17(a) Lokenath Debnath	✗ (Timed out)	600.	✓	1.372
68	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	✓	0.065	✓	0.036
69	General first order	\((x+y) u_x + (x-y)u_y =0\). Problem 3.17(c) Lokenath Debnath	✓	0.057	✓	0.052
70	General first order	\(y u_x - x u_y = e^u\) with \(u(0,y)=y^2-1\)	✓	0.163	✓	0.094	Yes
71	General first order	\(y u_x - x u_y = e^u\)	✓	0.074	✓	0.001	Yes
72	General first order	\(u_t + x u_x = 0\) with \(u(x,0)=x^2\). Math 5587	✓	0.007	✓	0.056	Yes
73	General first order	\(u_t + t u_x = 0\) with \(u(x,0)=e^x\)	✓	0.02	✓	0.202	Yes
74	General first order	\(2 u_x + 3 u_y = 1\)	✓	0.008	✓	0.009	Yes
75	General first order	\(x u_t - t u_x = 0\)	✓	0.027	✓	0.02	Yes
76	General first order	\(u_t + u_x = 0\) with \(u(x,1)=\frac {x}{1+x^2}\)	✓	0.005	✓	0.013	Yes
77	General first order	\(u_x u_y = 1\)	✓	0.003	✓	0.02	Yes
78	General first order	\(u_x u_y = u\) with \(u(x,0)=0,u(0,y)=0\)	✗	1.493	✓	0.226	Yes
79	Solved by factoring into two transport equations	\(u_{xx} + u_{xt} - 6 u_{tt} = 0\)	✓	0.012	✓	0.096	Yes
80	Solved by factoring into two transport equations	\(u_{xx} - u_{xt} - 12 u_{tt} = 0\)	✓	0.013	✓	0.276	Yes
81	Solved by factoring into two transport equations	\(u_{xx} - 3 u_{xt} - 4 u_{tt} = 0\)	✓	0.013	✓	2.616	Yes
82	Solved by factoring into two transport equations	\(u_{tt} - 2 u_{xt} - 3 u_{xx} = 0\) with \(u(0,x)=x^2, u_t(x,0)=e^x\)	✓	0.018	✓	2.259
83	Beam PDE	Beam PDE \(u_{tt} + u_{xxxx} = 0\)	✓	1.711	✓	0.205
84	Burger’s PDE	Inviscid Burgers \(u_x + u u_y = 0\)	✓ Implicit solution	0.028	✓	0.025	Yes
85	Burger’s PDE	Inviscid Burgers with I.C. \(u_x+ u u_y = 0\) and \(u(x,0)=\frac {1}{x+1}\)	✓	0.011	✓	0.039	Yes
86	Burger’s PDE	\(u_t+ u u_x = \mu u_{xx}\)	✓	0.039	✓	0.075
87	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) with IC	✓	10.918	✗	0.556
88	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) IC as UnitBox	✓	39.853	✗	0.606
89	Black Scholes PDE	classic Black Scholes model from finance, European call version	✓	3.061	✓	0.837
90	Black Scholes PDE	Boundary value problem for the Black Scholes equation	✓	4.421	✓	2.12
91	Korteweg-deVries PDE	\(u_{xxx} + u_t -6 u u_x = 0\)	✓	0.031	✓	0.186
92	Tricomi PDE	\(u_{xx} + y u_{yy} = 0\) with \(u(x,0)=0,u_y(x,0)=x^2\)	✓	9.736	✓	3.436
93	Tricomi PDE	\(u_{xx} + x u_{yy} = 0\)	✗	0.011	✓	2.783
94	Keldysh equation	\(x u_{xx} + u_{yy} = 0\)	✗	0.007	✓	4.056
95	Euler-Poisson-Darboux equation	\(u_{xx} + u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.008	✓	0.139
96	Euler-Poisson-Darboux equation	\(u_{xx} - u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.008	✓	0.487
97	Euler-Poisson-Darboux equation	\(u_{tt} - u_{xx} - \frac {2}{x} u_x = 0\) with \(u(x,0)=0,u_t(x,0)=g(x)\)	✗	2.613	✓	4.295
98	Chaplygin’s equation	\(u_{\theta \theta }+\frac {v^2}{1-\frac {v^2}{c^2}} u_{vv} + v u_v=0\)	✗	0.027	✓	1.266
99	Cauchy Riemann PDE’s	Cauchy Riemann PDE with Prescribe the values of \(u\) and \(v\) on the \(x\) axis	✓	0.011	✓	0.168
100	Cauchy Riemann PDE’s	Cauchy Riemann PDE With extra term on right side	✗	0.003	✓	0.07
101	Hamilton-Jacobi PDE	Hamilton-Jacobi type PDE	✗	0.01	✓	0.191
102	Airy PDE	\(u_t + u_{xxx} = 0\)	✓	0.059	✓	0.115	Yes
103	Nonlinear PDE’s	Bateman-Burgers \(u_t+u u_x = \nu u_{xx}\)	✓	0.03	✓	0.113
104	Nonlinear PDE’s	Benjamin Bona Mahony \(u_t+u_x + u u+x - u_{xxt} = 0\)	✓	0.036	✓	0.115
105	Nonlinear PDE’s	Benjamin Ono \(u_t+H u_{xx} +u u_x = 0\)	✓	0.031	✓	0.106
106	Nonlinear PDE’s	Born Infeld \((1-u_t^2) u_{xx} + 2 u_x u_t u_{xt} - (1+ u_x^2) u_{tt}=0\)	✓	0.014	✓	0.175
107	Nonlinear PDE’s	Boussinesq \(u_{tt}-u_{xx}-u_{xxxx} - 3 (u^2)_{xx} = 0\)	✓	0.058	✓	0.117
108	Nonlinear PDE’s	Boussinesq type \(u_{tt}-u_{xx}-2 \alpha (u u_x)_x - \beta u_{xxtt} = 0\)	✓	0.048	✓	0.132
109	Nonlinear PDE’s	Buckmaster \( u_t = (u^4)_{xx} + (u^3)_x\)	✗	0.113	✓ Answer in terms of RootOf.	0.704
110	Nonlinear PDE’s	Camassa Holm \(u_t + 2 k u_x - u_{xxt} + 3 u u_x = 2 u_x u_{xx}+ u u_{xxx}\)	✗	0.199	✓ Answer in terms of RootOf.	1.45
111	Nonlinear PDE’s	Chaffee Infante \(u_t = u_{xx} + \lambda (u^3 - u) = 0\)	✗	0.105	✓	0.226
112	Nonlinear PDE’s	Clarke. \(\left ( \theta _t - \gamma e^\theta \right )_{tt} = \left ( \theta _t - e^\theta \right )_{xx}\)	✗	0.013	✗	0.05
113	Nonlinear PDE’s	Degasperis Procesi \(u_t - u_{xxt} + 4 u u_x = 3 u_x u_xx + u u_{xxx}\)	✗	0.195	✓ But still has unresolved ODE’s in solution	0.621
114	Nonlinear PDE’s	Dym equation \(u_t =u^3 u_{xxx}\)	✗	0.096	✓ has RootOf	0.541
115	Nonlinear PDE’s	Estevez Mansfield Clarkson \(u_{tyyy} + \beta u_y u_{yt} + \beta u_{yy} u_t + u_{tt} = 0\)	✓	0.041	✓	0.158
116	Nonlinear PDE’s	Fisher’s \(u_t = u(1-u)+u_{xx}\)	✓	0.063	✓	0.232
117	Nonlinear PDE’s	Hunter Saxton \(\left ( u_t + u u_x) \right )_x = \frac {1}{2} (u_x)^2\)	✗	0.051	✓ with RootOf	0.123
118	Nonlinear PDE’s	Kadomtsev Petviashvili \( \left ( u_t + u u_x + \epsilon ^2 u_{xxx} \right )_x + \lambda u_{yy} = 0 \)	✓	0.073	✓	0.158
119	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ \lambda u^p=0\)	✗	0.006	✗	0.025
120	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ u^2=0\)	✗	0.237	✓	0.408
121	Nonlinear PDE’s	Khokhlov Zabolotskaya \(u_{x t} - (u u_x)_x = u_{yy}\)	✗	0.073	✓	0.251
122	Nonlinear PDE’s	Korteweg de Vries (KdV) \(u_t + (u_x)^3+ 6 u u_x = 0\)	✓	0.038	✓	0.115
123	Nonlinear PDE’s	Lin Tsien \(2 u_{tx} + u_x u_{xx} - u_{yy} = 0\)	✗	0.09	✓	0.277
124	Nonlinear PDE’s	Liouville \(u_{xx} + u_{yy} +e^{\lambda u} = 0\)	✗	0.006	✗	0.026
125	Nonlinear PDE’s	Plateau \((1+u_y^2)u_{xx} - 2 u_x u_y y_{xy} + (1+u_x^2) u_{yy} = 0\)	✗	0.039	✓	0.463
126	Nonlinear PDE’s	Rayleigh \(u_{tt} - u_{xx} = \epsilon (u_t - u_t^3)\)	✗	0.099	✓ Has RootOf	0.163
127	Nonlinear PDE’s	Sawada Kotera \(u_t + 45 u^2 u_x + 15 u_x u_{xx} + 15 u u_{xxx} + u_{xxxxx} = 0 \)	✓	0.093	✓	0.183
128	Nonlinear PDE’s	Sine Gordon \(\phi _{tt} - \phi _{xx} + \sin \phi = 0\)	✗	0.01	✗	0.025
129	Nonlinear PDE’s	Sinh Gordon \( u_{xt} = \sinh u\)	✗	0.01	✗	0.028
130	Nonlinear PDE’s	Sinh Poisson \(u_{xx}+u_{yy} + \sinh u=0\)	✗	0.009	✗	0.026
131	Nonlinear PDE’s	Thomas equation \( u_{xy} + \alpha u_x + \beta u_y+ \nu u_x u_y =0\)	✗	0.074	✓	0.414
132	Nonlinear PDE’s	phi equation \(\phi _{tt} - \phi _{xx} - \phi + \phi ^3 = 0\)	✓	0.053	✓	0.138
133	more miscellaneous	\(S S_{xy} + S_x S_y = 1\)	✗	0.04	✓	0.032
134	more miscellaneous	\(u_{rr} + u_{\theta \theta } = 0\)	✓	30.952	✓	0.631
135	more miscellaneous	\( u_{xx} + y u_{yy} = 0\)	✓	8.842	✓	2.995
136	more miscellaneous	\(u_t + u_{xxx} = 0\)	✓	0.191	✓	5.69
137	more miscellaneous	\(u_{xy} = \sin (x) \sin (y) \)	✓	5.14	✓	0.52
138	more miscellaneous	\(w_t = w_{x_1 x_1} + w_{x_2 x_2} + w_{x_3 x_3}\)	✓	2.907	✓	0.745
139	more miscellaneous	Linear PDE, initial conditions at \(t=t_0\)	✓	3.923	✓	0.718
140	more miscellaneous	second order in time, Linear PDE, initial conditions at \(t=t_0\)	✓	2.226	✓	2.228
141	more miscellaneous	Einstein-Weiner \(u_t = -\beta u_x + D u_{xx}\)	✓	0.046	✓	0.305
142	more miscellaneous	Using integral transforms.	✓	40.116	✓	2.523

Schrodinger PDE

Table 1.14: Schrodinger PDE breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
143	1D	Logan textbook, page 30	✓	0.527	✓	0.474
144	1D	From Mathematica help pages	✓	0.756	✓	1.235
145	1D	David Griffiths, page 47	✓	30.831	✓	1.26
146	1D	David Griffiths, page 47	✓	0.678	✓	0.933
147	1D	Deep well	✓ Does not handle \(n=2\) case correctly. Division by zero	47.385	✓	6.925
148	1D	From Mathematica help pages	✓	0.006	✗ Trivial solution. Maple does not support \(\infty \) in boundary conditions	2.546
149	2D	In a square, zero potential	✓	0.707	✓	4.08
150	2D	In a square	✓	0.648	✓	4.622

Parabolic PDE’s (Diffusion)

Table 1.15: 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	✓	62.537	✓	1.31	Yes
152	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Specific initial condition	✓	26.091	✓	0.619	Yes	Yes
153	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC \(u=x(1-x)\)	✓	27.383	✓	0.611	Yes	Yes
154	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (a)	✓	0.42	✓	3.055	Yes
155	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC hat function	✓	35.813	✓	1.385	Yes	Yes
156	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (b)	✓	1.236	✓	3.697	Yes
157	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (c)	✓ but \(n=3\) should be special case	65.187	✓ handled \(n=3\) case correctly.	5.432	Yes
158	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (d)	✓	545.655	✓	26.013	Yes
159	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	18.891	✓	1.119	Yes
160	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	62.92	✓	0.753	Yes	Yes
161	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (general case)	✓	42.268	✓	1.606	Yes
162	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (special case)	✓	32.815	✓	2.285	Yes	Yes
163	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (general case)	✓	71.123	✓	3.32	Yes
164	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (special case)	✓	35.558	✓	10.046	Yes	Yes
165	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Math 4567 Exam	✓	18.115	✓	1.938	Yes
166	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	With source	✓	67.959	✓	6.367
167	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	special initial condition	✓	3.189	✗ (Timed out)	600.	Yes
168	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction and Euler-Cauchy Sturm-Liouville	✓	1.816	✓	8.987
169	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Using growth form reaction term	✓	93.031	✓	0.83	Yes
170	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using logistic form for reaction term	✗	4.709	✗	27.471
171	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using Aleee form for reaction term	✗	7.192	✗	35.232
172	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Haberman 2.3.8	✓	34.92	✓	6.826	Yes
173	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	34.502	✓	1.482	Yes
174	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	0.774	✓	1.497
175	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✗	43.242	✓	1.147
176	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (general case)	✓	3.081	✓	2.102	Yes
177	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (special case)	✓	63.055	✓	1.978	Yes	Yes
178	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.2 (general case)	✓	30.562	✓	2.112	Yes
179	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Left end zero, right end insulated, no source	✓	29.39	✓	2.041	Yes
180	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	One end insulated	✓	32.45	✓	2.24
181	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.7 (general case)	✓	32.108	✓	1.804	Yes
182	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	specific case	✓	12.122	✓	3.334	Yes	Yes
183	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (a)	✗ (Timed out)	600.	✓	26.393
184	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Both ends insulated, no source	✓	33.1	✓	2.065	Yes
185	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (b) (special case)	✓	1.606	✓	4.518	Yes
186	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (c) (special case)	✓	32.364	✓	6.848	Yes
187	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (d)	✓	1.387	✓	4.021
188	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	both ends insulated	✓	91.769	✓	4.442
189	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	32.721	✓	3.185
190	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.25	✓	42.65	✓	8.53
191	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	external source	✓	18.726	✓	19.326
192	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction (general case)	✓	91.872	✓	0.938	Yes	Yes
193	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.23	✓	64.245	✓	31.669
194	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.21	✓	63.132	✓	3.556
195	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Euler-Cauchy Sturm-Liouville	✓	2.684	✓	26.115	Yes
196	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	32.892	✓	1.936	Yes
197	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Mixed BC	✓	33.75	✓	4.725
198	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 8.2.1 (f)	✓	63.62	✓	4.279
199	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (general case)	✓	33.393	✓	4.627	Yes
200	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (special case)	✓	7.485	✓	1.614	Yes	Yes
201	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (general case)	✓	66.082	✓	2.418	Yes
202	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (special case)	✓	0.01	✓	3.152	Yes
203	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC, special case	✓	10.202	✓	2.215	Yes	Yes
204	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	convection heat loss	✓	39.799	✗ (Timed out)	600.	Yes
205	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	2.176	✓	9.692
206	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	92.738	✓	1.904
207	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	34.188	✓	15.72	Yes
208	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (general case)	✓	66.569	✓	11.76	Yes
209	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	88.627	✓	15.321	Yes	Yes
210	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	86.742	✓	13.846	Yes	Yes
211	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	Haberman 8.3.6 (special case)	✓	95.024	✓	18.548	Yes	Yes
212	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	BC depends on time (special case)	✓	12.162	✓	5.8
213	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). IC given	✓	15.368	✓	10.554
214	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). No IC given	✓	0.014	✓	1.573	Yes
215	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). Damped heat PDE. No IC given	✗	0.071	✓	1.459	Yes
216	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends non-homogeneous BC (general case)	✓	63.746	✓	4.237	Yes
217	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	non-homogeneous BC (special case)	✓	16.942	✓	2.648	Yes
218	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.1 (special case)	✓	63.188	✓	2.548	Yes
219	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (general case)	✓	52.613	✓	6.341	Yes
220	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (special case)	✓	94.816	✓	3.432	Yes	Yes
221	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space and time only (general case)	✓	69.048	✓	9.333	Yes
222	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (general case)	✓	84.436	✓	17.345	Yes
223	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (special case)	✓	67.824	✓	28.194	Yes	Yes
224	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends nonhomogeneous	✓	63.852	✓	14.49	Yes
225	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (a) (general case)	✓	38.949	✓	6.474	Yes
226	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (d) (general solution)	✓	54.039	✓	5.482	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)	✓	115.005	✗ (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)	✓	104.862	✓	29.86	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)	✓	79.308	✓	16.293	Yes
230	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source present (special case)	✓	117.548	✓	63.454	Yes	Yes
231	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Pinchover and Rubinstein 6.17	✗	21.971	✓	11.401
232	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	nonhomogeneous BC	✓	111.737	✓	16.879
233	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.2. (a)	✓	122.354	✓	21.911	Yes
234	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.3	✓	5.486	✓	16.523
235	Diffusion in 1D Semi-infinite domain	left end constant (general case)	✓	60.035	✓	2.036	Yes
236	Diffusion in 1D Semi-infinite domain	left end constant (special case)	✓ It fail if assumption \(x>0\) is given. A bug	31.691	✓	2.772	Yes	Yes
237	Diffusion in 1D Semi-infinite domain	Logan p. 76. Left end general function of time (general case)	✓	0.577	✓	6.391	Yes
238	Diffusion in 1D Semi-infinite domain	Left end function of time (special case)	✓	60.047	✓	10.552	Yes	Yes
239	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.029	✓	2.204
240	Diffusion in 1D Semi-infinite domain	I.C. not zero	✓ due to IC/BC not zero	13.357	✓	2.941
241	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.074	✓	2.326
242	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.071	✓	6.131
243	Diffusion in 1D Semi-infinite domain	nonhomogeneous B.C.	✓	60.033	✓	2.684
244	Diffusion in 1D Semi-infinite domain	Unit triangle I.C.	✓	61.013	✓	2.839
245	Diffusion in 1D Semi-infinite domain	I.C. not at \(t=0\)	✓	61.517	✓	4.622
246	Diffusion in 1D Semi-infinite domain	Diffusion with advection	✓	1.75	✓	4.813
247	Diffusion in 1D Semi-infinite domain	Practice exam problem	✓	60.108	✓	2.73
248	Diffusion in 1D Infinite domain	Inverse exponential I.C.	✓	0.869	✓	3.444	Yes
249	Diffusion in 1D Infinite domain	Advection term	✓	0.067	✓	2.516
250	Diffusion in 1D Infinite domain	UnitBox I.C.	✓	60.016	✓	4.32
251	Diffusion in 1D Infinite domain	No source	✓	0.4	✓	5.85
252	Diffusion in 1D Infinite domain	constant as source	✓	0.425	✓	2.873
253	Diffusion in 1D Infinite domain	No intial conditions	✓	0.004	✓	0.676	Yes
254	Diffusion in 1D Infinite domain	piecewise I.C.	✓ due to i.c. not at zero	52.493	✓	3.928	Yes
255	Diffusion in 1D Infinite domain	Practice exam problem	✓	0.065	✓	1.503
256	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	No source	✓	4.249	✓	14.339
257	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Internal source term	✓	10.246	✓	13.191
258	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Articolo 6.6.3	✓	6.641	✓	20.238
259	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (General solution)	✓	0.97	✓ Cant get series solution	51.553	Yes
260	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (Specific solution)	✓	2.743	✓ Do not understand Maple solution	17.502	Yes	Yes
261	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	0.333	✓	1.819
262	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	1.131	✓	1.511
263	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.3.5 (General solution)	✓	19.48	✓	5.353	Yes
264	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	3.516	✓	1.148	Yes	Yes
265	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	2.641	✗	1.184	Yes	Yes
266	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Inside ring	✓ \(n=1\) causs division by zero	3.449	✗ (Timed out)	600.
267	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.1	✓	3.973	✗	0.908
268	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.2	✓	4.38	✓	38.487
269	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.2.5 with \(\theta \) dependency (General case)	✓	310.649	✗	0.441	Yes
270	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (Specific example)	✓	8.757	✗	1.062	Yes	Yes
271	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (specific example)	✓	10.1	✗	28.405	Yes	Yes
272	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (General solution)	✓	4.65	✗	5.436	Yes
273	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✓	16.146	✗	9.737	Yes	Yes
274	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✗ (Timed out)	600.	✗	9.36	Yes	Yes
275	Diffusion in 3D Spherical coordinates	No angle dependencies	✓	61.104	✓ Has unresolved Laplace integrals	3.518
276	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (a)	✓	1.883	✓	81.613	Yes	Yes
277	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (b)	✓	6.469	✗	30.911	Yes	Yes
278	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (c)	✓	3.162	✗	27.302
279	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (a)	✗	0.012	✗	4.145
280	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (b)	✗	0.008	✗	4.083
281	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (c)	✗	0.012	✗	4.082

Elliptic PDE’s (Laplace, Poisson, Helmholtz)

Table 1.16: Elliptic PDE’s (Laplace, Poisson, Helmholtz) breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
282	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge not	✓	1.78	✓	79.735	Yes
283	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, right edge not	✓	1.83	✓	8.797	Yes
284	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge has impulse	✓	4.12	✓	26.447	Yes
285	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (a)	✓	0.988	✓	72.504
286	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (b)	✓	0.944	✓	83.332
287	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (c)	✓	4.685	✓	58.768
288	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (d)	✓	4.133	✓	83.677
289	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (e)	✓	19.674	✓	73.192	Yes
290	Laplace in 2D Cartesian coordinates	Unit triangle B.C.	✓	0.985	✓	18.79
291	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	3.586	✓	7.27	Yes
292	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	2.813	✓	9.875	Yes
293	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	3.514	✓	7.235	Yes
294	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	41.351	✓	41.03	Yes
295	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	2.994	✓	32.109
296	Laplace in 2D Cartesian coordinates	Laplace PDE in 2D Cartessian with boundary condition as Dirac function	✓	0.044	✓	3.511
297	Laplace in 2D Cartesian coordinates	One side homogeneous	✓	1.692	✓	51.323
298	Laplace in 2D Cartesian coordinates	In right half plane	✓	21.834	✓	4.04
299	Laplace in 2D Cartesian coordinates	Right edge at infinity	✗	2.434	✓	23.138
300	Laplace in 2D Cartesian coordinates	Dirichlet problem Upper half	✓	1.371	✓	6.671
301	Laplace in 2D Cartesian coordinates	Right half-plane	✓	19.623	✓	4.481
302	Laplace in 2D Cartesian coordinates	First quadrant	✓	14.632	✗	31.473
303	Laplace in 2D Cartesian coordinates	Neumann problem upper half-plane	✓	4.77	✓ used convert(sol,Int).	8.997
304	Laplace in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	2.303	✓	12.098
305	Laplace in 2D Cartesian coordinates	Strip in upper half	✓	60.258	✓	12.959
306	Laplace in 2D Cartesian coordinates	in Rectangle, right edge at infinity	✗	2.353	✓	19.588
307	Laplace in 2D Polar coordinates	Laplace PDE inside quarter disk, Neumann BC at edge	✓	3.459	✓	2.842
308	Laplace in 2D Polar coordinates	\(r=4\) and \(u=x^4\) at boundary of disk	✓	150.086	✓	22.021	Yes
309	Laplace in 2D Polar coordinates	\(r=1\) and \(u_r=x\) at boundary of disk	✗	2.589	✗	1.888	Yes
310	Laplace in 2D Polar coordinates	Laplace inside disk. General solution	✓	0.624	✓	11.463
311	Laplace in 2D Polar coordinates	Laplace inside disk. Specific boundary conditions	✓	3.936	✓	13.769	Yes
312	Laplace in 2D Polar coordinates	Haberman 2.5.5 (c)	✗	3.989	✓	2.611	Yes
313	Laplace in 2D Polar coordinates	semi-circle	✓	2.08	✓	2.322
314	Laplace in 2D Polar coordinates	Haberman 2.5.8 (b)	✓	8.91	✓	361.819	Yes
315	Laplace in 2D Polar coordinates	Circular annulus	✓	0.519	✓	9.499
316	Laplace in 2D Polar coordinates	Outside a disk	✓	6.915	✓	13.615
317	Laplace in 2D Polar coordinates	Outside a disk	✓	4.21	✓	15.946	Yes
318	Laplace in 3D Spherical coordinates	In a sphere	✓	0.036	✓	3.401
319	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (a)	✗	0.018	✗	3.513
320	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (b)	✗	0.015	✗	3.773
321	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (c)	✗	0.015	✗	3.813
322	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (d)	✗	0.014	✗	3.881
323	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (e)	✗	0.015	✗	3.827
324	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (a)	✗	0.015	✗	4.865
325	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (b)	✗	0.015	✗	39.671
326	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (c)	✗	0.02	✗	53.644
327	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (d)	✗	0.014	✗	4.81
328	Poisson in 2D Cartesian coordinates	All boundaries at zero	✗	0.015	✗	82.75	Yes
329	Poisson in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	1.368	✓	1.599
330	Poisson in 2D Cartesian coordinates	Poisson PDE in whole 2D plane	✓	31.393	✓	0.066	Yes
331	Helmholtz in 2D Cartesian coordinates	In rectangle	✓	64.18	✓	25.968
332	Helmholtz in 2D Cartesian coordinates	On whole plane	✓ why? It solved earlier with BC?	0.004	✓	0.289
333	Helmholtz in 2D Cartesian coordinates	Reduced Helmholtz Inside square	✓	62.146	✓	26.367
334	Helmholtz in 3D Spherical coordinates	Chain reaction PDE	✗	0.123	✗ trivial solution	4.683	Yes

Hyperbolic PDE’s (Wave)

Table 1.17: Hyperbolic PDE’s (Wave) breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
335	Wave PDE in 1D Finite length string	General solution for both ends fixed. Domain is \(0\dots L\)	✓	33.33	✓	26.077	Yes
336	Wave PDE in 1D Finite length string	both ends fixed, inital position zero (special case)	✓	3.324	✓	13.872	Yes	Yes
337	Wave PDE in 1D Finite length string	both ends fixed, inital velocity zero (special case)	✓	2.518	✓	10.655	Yes	Yes
338	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-\pi \dots \pi \). zero intial position, non zero initial velocity	✓	6.978	✓	60.958	Yes	Yes
339	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-1 \dots 1\). intial position is an impulse, zero initial velocity	✓	1.749	✓	23.098	Yes
340	Wave PDE in 1D Finite length string	Logan book, page 28. Both ends fixed	✓	0.974	✓	2.843
341	Wave PDE in 1D Finite length string	non-zero initial velocity. Both ends fixed	✓	86.507	✓	8.794
342	Wave PDE in 1D Finite length string	Logan book page 149)	✓	20.85	✓	15.192
343	Wave PDE in 1D Finite length string	Haberman 8.5.2 (a)	✓	23.852	✓	54.316
344	Wave PDE in 1D Finite length string	Haberman 8.5.2 (b)	✓	38.58	✓	36.438	Yes
345	Wave PDE in 1D Finite length string	Both I.C. not zero	✓	22.264	✓	18.372
346	Wave PDE in 1D Finite length string	With constant source	✓	34.232	✓	30.72
347	Wave PDE in 1D Finite length string	Logan page 213	✓	4.763	✓	17.921
348	Wave PDE in 1D Finite length string	Telegraphy PDE	✓	86.878	✓	19.516
349	Wave PDE in 1D Finite length string	Dispersion term present (general case)	✓ Due to adding dispersion term	25.235	✓	25.109	Yes
350	Wave PDE in 1D Finite length string	Dispersion term present	✓ Due to adding dispersion term	92.86	✓	89.473	Yes
351	Wave PDE in 1D Finite length string	Dispersion term present (specific case)	✓ Due to adding dispersion term	94.897	✓	22.849	Yes	Yes
352	Wave PDE in 1D Finite length string	non-zero initial position	✓ But sum should not include \(n=2\)	7.991	✓ Handled \(n=2\) case correctly	75.615
353	Wave PDE in 1D Finite length string	With source	✓	10.847	✓	79.233
354	Wave PDE in 1D Finite length string	Right end free (general case)	✓	25.353	✓	34.789	Yes
355	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (general case)	✓	7.149	✓	25.612	Yes
356	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (special case)	✓	89.446	✓	15.144	Yes	Yes
357	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (general case)	✓	52.43	✓	33.813	Yes
358	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, underdamped)	✓	114.95	✓	29.971	Yes	Yes
359	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, critical damped)	✓	114.627	✓	36.941	Yes	Yes
360	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, over damped)	✓	116.345	✓	22.824	Yes	Yes
361	Wave PDE in 1D Finite length string	I.C. at different times, right end free, with source	✗	40.028	✓	85.616	Yes
362	Wave PDE in 1D Finite length string	Right end oscillates	✓	66.861	✓	62.784
363	Wave PDE in 1D Finite length string	Perioidic B.C.	✗	2.412	✗	4.542
364	Wave PDE in 1D Finite length string	Mixed B.C.	✗	15.603	✗	5.86
365	Wave PDE in 1D Finite length string	Left end fixed, right end non-homogeneous Neumann BC. Zero initial conditions	✓	63.343	✓	29.737	Yes	Yes
366	Wave PDE in 1D Semi-infinite domain	Left end fixed, (general case)	✓	3.996	✗	5.185	Yes
367	Wave PDE in 1D Semi-infinite domain	Left end fixed with specific initial position	✓	15.596	✓	13.644	Yes
368	Wave PDE in 1D Semi-infinite domain	Logan page 115, left end fixed with source	✓	7.298	✓	5.306
369	Wave PDE in 1D Semi-infinite domain	Left moving boundary condition	✓	1.94	✓	4.509
370	Wave PDE in 1D Semi-infinite domain	moving Left end	✓	9.201	✓	6.497
371	Wave PDE in 1D Semi-infinite domain	I.C. at \(t=1\)	✓	9.147	✓	1.518
372	Wave PDE in 1D Semi-infinite domain	B.C. at \(x=1\)	✓	76.551	✓	2.819
373	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (general solution)	✓	7.123	✓	1.703
374	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (Special solution)	✓	4.202	✓	6.313	Yes	Yes
375	Wave PDE in 1D Semi-infinite domain	Left end fixed. zero initial velocity (Special solution)	✓	4.373	✓	8.789	Yes	Yes
376	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial position (general solution)	✓	8.691	✓	1.712
377	Wave PDE in 1D Semi-infinite domain	Left end free. Non zero initial position and velocity (general solution)	✓	33.339	✓	1.483
378	Wave PDE in 1D Semi-infinite domain	Left end free with source	✓	1.122	✓	1.232
379	Wave PDE in 1D Infinite domain	General case. \(u_{tt} = u_{xx}\) with \(u(x,0)=f(x),u_t(x,0)=g(x)\)	✓	0.019	✓	0.69
380	Wave PDE in 1D Infinite domain	General case. No IC given. \(u_{tt} + u_{xt} = c^2 u_{xx}\)	✓	0.005	✓	0.55
381	Wave PDE in 1D Infinite domain	\(u_{tt}= c^2 u_{xx} + f(x,t)\), IC at \(t=1\),\(u(x,1) = g(x),u_t(x,1)=h(x)\)	✓	0.158	✓	6.92
382	Wave PDE in 1D Infinite domain	No source. \(u_{tt} = u_{xx}\), with \(u(x,0) =e^{-x^2},u_t(x,0)=1\)	✓	0.002	✓	0.307
383	Wave PDE in 1D Infinite domain	With source term. \(u_{tt} = u_{xx} + m\)	✓	0.011	✓	0.444
384	Wave PDE in 1D Infinite domain	non-linear (Solitons) \(u_t +6 u(x,t) u_x + u_{xxx} = 0\)	✓	0.028	✓	0.404	Yes	Yes
385	Wave PDE in 1D Infinite domain	Inhomogeneous PDE \(3 u_{xx}- u_{tt} + u_{xt}=1\)	✓	0.003	✓	0.319
386	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.029	✓	0.365
387	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.002	✓	0.29
388	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	8.846	✓	0.491
389	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.002	✓	0.306	Yes	Yes
390	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.004	✓	4.527	Yes	Yes
391	Wave PDE in 1D Infinite domain	General case \(u_{tt} = u_{xx}\) with \(u(x,0)=\sin x, u_t(x,0)=-2 x e^{-x^2}\)	✓	0.1	✓	0.378
392	Wave PDE in 1D Infinite domain	General case. \(u_{tt} =u_{xx}\) dAlembert solution, box function as initial position	✓	0.003	✓	0.347	Yes	Yes
393	Wave PDE in 1D Infinite domain	\(u_{tt}=4 u_{xx}+ \cos (t)\) dAlembert solution with \(u(x,0)=\sin x,u_t(x,0)=\cos x\)	✓	0.096	✓	0.699	Yes	Yes
394	Wave PDE in 1D Infinite domain	\(u_{tt}=c^2 u_{xx}\) dAlembert solution with \(u(x,0)=\delta (x-a),u_t(x,0)=0\)	✓	63.956	✓	0.695	Yes
395	Wave PDE in 1D Infinite domain	system of 2 inhomogeneous linear hyperbolic system with constant coefficients	✓	0.267	✗	1.19
396	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, General solution	✗	2.271	✓	399.349	Yes
397	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, zero velocity. Specific example	✗	0.424	✓	32.39	Yes	Yes
398	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example	✓	33.848	✓	57.503	Yes	Yes
399	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example, delta in center	✓	9.295	✓	54.177	Yes	Yes
400	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed	✓	4.949	✓	32.94
401	Wave PDE in 2D Cartesian coordinates	All edges fixed (Haberman 8.5.5 (a)	✓	27.715	✗	3.128
402	Wave PDE in 2D Cartesian coordinates	2 edgs fixed, 2 free, zero initial velocity	✓	5.952	✓	63.49
403	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, general solution	✓	1.411	✗ (Timed out)	600.	Yes
404	Wave PDE in 2D Cartesian coordinates	With damping	✓	9.074	✓	88.935
405	Wave PDE in 2D Cartesian coordinates	On the whole plane	✓	0.171	✗	0.388
406	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency, fixed boundary, general case	✓	3.01	✓ Has unresolved Invlaplace calls	8.424	Yes
407	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	2.684	✓ Has unresolved Invlaplace calls	73.886
408	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	2.549	✓ Has unresolved Invlaplace calls. How to get series solution?	68.303	Yes	Yes
409	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✓	3.628	✓	29.343
410	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	2.511	✓	7.253
411	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, general solution	✓	9.409	✗	16.112	Yes
412	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, general solution	✓	4.687	✗	12.441	Yes
413	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, specific example	✓	15.449	✗	10.359	Yes	Yes
414	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position, specific example	✓	7.747	✗	12.831	Yes	Yes
415	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position with internal source (Haberman 8.5.5. (b)	✗	0.042	✗	4.539	Yes
416	Wave PDE in 3D Spherical coordinates	No I.C. no B.C.	✓	0.039	✓	6.306
417	Wave PDE in 3D Cylindrical coordinates	No I.C. no B.C.	✓	0.006	✓	0.668

Handbook of first order partial differential equations

Table 1.18: Handbook of first order partial differential equations breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
418	chapter 1	problem number 1	✓	0.005	✓	0.072
419	chapter 1	problem number 2	✓	0.004	✓	0.005
420	chapter 1	problem number 3	✓	0.017	✓	0.006	Yes
421	chapter 1	problem number 4	✓	0.016	✓	0.003
422	chapter 1	problem number 5	✓	0.032	✓	0.031	Yes
423	chapter 1	problem number 6	✓	0.03	✓	0.014
424	chapter 2 2.1	problem number 1	✓	0.006	✓	0.075	Yes
425	chapter 2 2.1	problem number 2	✓	0.01	✓	0.072	Yes
426	chapter 2 2.1	problem number 3	✓	0.054	✓	0.208	Yes
427	chapter 2 2.1	problem number 4	✓	0.021	✓	0.171	Yes
428	chapter 2 2.1	problem number 5	✓	0.024	✓	1.405	Yes
429	chapter 2 2.1	problem number 6	✓	0.05	✓	1.384	Yes
430	chapter 2 2.1	problem number 7	✓	0.055	✓	3.135	Yes
431	chapter 2 2.1	problem number 8	✗	2.383	✓	18.946
432	chapter 2 2.2	problem number 1	✓	0.009	✓	0.01
433	chapter 2 2.2	problem number 2	✓	0.244	✓	0.582
434	chapter 2 2.2	problem number 3	✓	0.106	✓	0.183
435	chapter 2 2.2	problem number 4	✓	0.385	✓	0.413
436	chapter 2 2.2	problem number 5	✓	0.25	✓	0.994
437	chapter 2 2.2	problem number 6	✓	0.33	✓	0.435
438	chapter 2 2.2	problem number 7	✓	0.353	✓	0.805
439	chapter 2 2.2	problem number 8	✓	0.511	✓	0.707
440	chapter 2 2.2	problem number 9	✓	0.299	✓	0.525
441	chapter 2 2.2	problem number 10	✓	0.171	✓	0.3
442	chapter 2 2.2	problem number 11	✓	0.318	✓	2.757
443	chapter 2 2.2	problem number 12	✓	0.822	✓	1.533
444	chapter 2 2.2	problem number 13	✓	0.113	✓	0.3
445	chapter 2 2.2	problem number 14	✓	0.27	✓	0.821
446	chapter 2 2.2	problem number 15	✓	0.7	✓	1.048
447	chapter 2 2.2	problem number 16	✓	1.564	✓	0.658
448	chapter 2 2.2	problem number 17	✓	0.951	✓	0.828
449	chapter 2 2.2	problem number 18	✓	0.292	✓	0.108
450	chapter 2 2.2	problem number 19	✓	0.294	✓	0.793
451	chapter 2 2.2	problem number 20	✗	0.261	✓	1.996
452	chapter 2 2.2	problem number 21	✓	0.196	✓	2.307
453	chapter 2 2.2	problem number 22	✓	0.348	✓	1.529
454	chapter 2 2.2	problem number 23	✓	0.438	✓	2.915
455	chapter 2 2.2	problem number 24	✗	0.313	✓	0.734
456	chapter 2 2.2	problem number 25	✗ (Timed out)	600.	✗ (Timed out)	600.
457	chapter 2 2.2	problem number 26	✗	165.853	✗	45.839
458	chapter 2 2.2	problem number 27	✗	101.598	✗	3.194
459	chapter 2 2.2	problem number 28	✗	0.528	✓ solution contains RootOf	1.436
460	chapter 2 2.2	problem number 29	✗	101.315	✗	5.214
461	chapter 2 2.2	problem number 30	✗	0.305	✓	1.639
462	chapter 2 2.2	problem number 31, Hesse’s equation	✗	235.84	✓	10.262
463	chapter 2 2.3	problem number 1	✓ But it can’t solve it when assuming \(b>0\) which is strange.	0.491	✓	3.677
464	chapter 2 2.3	problem number 2	✓	0.074	✓	0.278
465	chapter 2 2.3	problem number 3	✓	0.179	✓	2.572
466	chapter 2 2.3	problem number 4	✗	0.277	✓	5.678
467	chapter 2 2.3	problem number 5	✗	0.932	✓ Answer contains RootOf	0.536
468	chapter 2 2.3	problem number 6	✗	0.232	✓ Answer contains RootOf	0.263
469	chapter 2 2.3	problem number 7	✓	0.234	✓	0.239
470	chapter 2 2.3	problem number 8	✓	0.265	✓	4.681
471	chapter 2 2.3	problem number 9	✗ (Timed out)	600.	✓	0.102
472	chapter 2 2.4	problem number 1	✓	0.037	✓	0.214
473	chapter 2 2.4	problem number 2	✓	0.268	✓	1.645
474	chapter 2 2.4	problem number 3	✓	0.196	✓	0.843
475	chapter 2 2.4	problem number 4	✓	0.467	✓	6.135
476	chapter 2 2.4	problem number 5	✗	0.53	✗ (Timed out)	600.
477	chapter 2 2.4	problem number 6	✓	1.952	✓	1.328
478	chapter 2 2.4	problem number 7	✗	1.872	✓	65.123
479	chapter 2 2.5	problem number 1	✓	0.058	✓	0.583
480	chapter 2 2.5	problem number 2	✓	0.134	✓	1.028
481	chapter 2 2.5	problem number 3	✓	0.198	✓	0.404
482	chapter 2 2.5	problem number 4	✗	20.865	✓	4.145
483	chapter 2 2.5	problem number 5	✓	0.933	✓	4.072
484	chapter 2 2.5	problem number 6	✗	1.853	✓	9.467
485	chapter 2 2.5	problem number 7	✓	0.458	✓	0.454
486	chapter 2 2.5	problem number 8	✗	23.262	✓	12.719
487	chapter 2 2.5	problem number 9	✗	1.15	✓	20.194
488	chapter 2 2.5	problem number 10	✗	2.964	✓	17.552
489	chapter 2 2.5	problem number 11	✗	26.182	✗	25.263
490	chapter 2 2.5	problem number 12	✗	25.253	✗	21.109
491	chapter 2 2.5	problem number 13	✗	30.158	✗	39.568
492	chapter 2 2.5	problem number 14	✗	0.36	✓ Solution contains RootOf	2.879
493	chapter 2 2.5	problem number 15	✓	0.639	✓	5.063
494	chapter 2 2.5	problem number 16	✗	78.509	✗	82.583
495	chapter 2 2.5	problem number 17	✗	0.304	✓	6.927
496	chapter 2 2.5	problem number 18	✗	0.578	✓	4.42
497	chapter 2 2.5	problem number 19	✓	0.361	✓	3.761
498	chapter 2 2.5	problem number 20	✓	0.298	✓	0.898
499	chapter 2 2.5	problem number 21	✓	0.641	✓	0.808
500	chapter 2 2.5	problem number 22	✓	0.59	✓	0.391
501	chapter 2 2.5	problem number 23	✗	26.472	✓	0.487
502	chapter 2 2.5	problem number 24	✓	0.331	✓	0.325
503	chapter 2 2.5	problem number 25	✓	0.614	✓	0.282
504	chapter 2 2.5	problem number 26	✓	0.86	✓	0.533
505	chapter 2 2.5	problem number 27	✓	0.413	✓	3.769
506	chapter 2 2.5	problem number 28	✗	0.477	✓ Solution contains RootOf	4.192
507	chapter 2 2.5	problem number 29	✗	0.365	✓ Solution contains RootOf	0.744
508	chapter 2 2.5	problem number 30	✗	0.708	✓	9.119
509	chapter 2 2.5	problem number 31	✗	18.477	✓	17.864
510	chapter 2 2.5	problem number 32	✗	114.344	✗	35.89
511	chapter 2 2.5	problem number 33	✓	0.562	✓	3.592
512	chapter 2 2.5	problem number 34	✓	0.455	✓	2.213
513	chapter 2 2.5	problem number 35	✓	0.242	✓	0.764
514	chapter 2 2.5	problem number 36	✓	0.213	✓	1.009
515	chapter 2 2.5	problem number 37	✓	0.479	✓	1.892
516	chapter 2 2.5	problem number 38	✓	2.637	✓	1.227
517	chapter 2 2.5	problem number 39	✓	0.182	✓	7.199
518	chapter 2 2.5	problem number 40	✗	103.396	✗	26.251
519	chapter 2 2.5	problem number 41	✓	1.078	✓	4.981
520	chapter 2 2.5	problem number 42	✗	4.276	✓	29.642
521	chapter 2 2.5	problem number 43	✗	2.982	✓	11.045
522	chapter 2 2.5	problem number 44	✗	31.136	✗	35.803
523	chapter 2 2.5	problem number 45	✗	31.691	✗	43.207
524	chapter 2 2.5	problem number 46	✗	12.09	✓	26.704
525	chapter 2 2.5	problem number 47	✓	1.44	✓	0.553
526	chapter 2 2.5	problem number 48	✗	33.94	✓	2.402
527	chapter 2 2.5	problem number 49	✗	21.879	✗	28.604
528	chapter 2 2.5	problem number 50	✗	51.312	✗	96.439
529	chapter 2 2.5	problem number 51	✗	0.992	✓	9.535
530	chapter 2 2.5	problem number 52	✗	11.804	✗	13.929
531	chapter 2 2.5	problem number 53	✗	0.833	✓	13.071
532	chapter 2 2.5	problem number 54	✗	0.956	✗	8.801
533	chapter 2 2.5	problem number 55	✗	19.752	✗	18.898
534	chapter 2 2.5	problem number 56	✗	1.495	✓	12.736
535	chapter 2 3.1	problem number 1	✓	0.021	✓	0.113
536	chapter 2 3.1	problem number 2	✓	0.029	✓	0.012
537	chapter 2 3.1	problem number 3	✓	0.215	✓	11.577
538	chapter 2 3.1	problem number 4	✓	0.4	✓	14.391
539	chapter 2 3.1	problem number 5	✗	1.053	✓	3.809
540	chapter 2 3.1	problem number 6	✓	0.284	✓	1.342
541	chapter 2 3.1	problem number 7	✓	0.235	✓	0.115
542	chapter 2 3.1	problem number 8	✓	0.634	✓ Has RootOf	8.201
543	chapter 2 3.1	problem number 9	✓	0.499	✓	12.494
544	chapter 2 3.1	problem number 10	✗	0.666	✓	19.394
545	chapter 2 3.1	problem number 11	✗	2.633	✗	7.209
546	chapter 2 3.2	problem number 1	✓	0.786	✓	1.534
547	chapter 2 3.2	problem number 2	✓	1.149	✓	0.585
548	chapter 2 3.2	problem number 3	✓	0.496	✓	0.203
549	chapter 2 3.2	problem number 4	✓	0.625	✓	1.058
550	chapter 2 3.2	problem number 5	✓	0.385	✓	0.275
551	chapter 2 3.2	problem number 6	✗	23.202	✗	22.006
552	chapter 2 3.2	problem number 7	✓	0.59	✓	0.79
553	chapter 2 3.2	problem number 8	✗	1.051	✓	0.437
554	chapter 2 3.2	problem number 9	✓	1.513	✓	2.165
555	chapter 2 3.2	problem number 10	✓	1.289	✓	2.023
556	chapter 2 3.2	problem number 11	✗	22.612	✓	2.587
557	chapter 2 3.2	problem number 12	✓	3.572	✓	0.692
558	chapter 2 3.2	problem number 13	✓	0.76	✓	0.284
559	chapter 2 3.2	problem number 14	✗	24.234	✗	23.358
560	chapter 2 3.2	problem number 15	✗	2.973	✓	4.565
561	chapter 2 3.2	problem number 16	✗	22.908	✗	20.321
562	chapter 2 3.2	problem number 17	✗	1.804	✓	4.062
563	chapter 2 3.2	problem number 18	✗	23.297	✗	16.888
564	chapter 2 3.2	problem number 19	✓	0.513	✓	3.809
565	chapter 2 3.2	problem number 20	✗	23.169	✗	14.983
566	chapter 2 3.2	problem number 21	✗	25.852	✗	13.417
567	chapter 2 3.2	problem number 22	✓	2.881	✓	0.766
568	chapter 2 3.2	problem number 23	✓	0.787	✓	0.543
569	chapter 2 3.2	problem number 24	✗	21.9	✗	17.232
570	chapter 2 3.2	problem number 25	✓	0.485	✓	0.87
571	chapter 2 3.2	problem number 26	✓	0.554	✓	0.625
572	chapter 2 3.2	problem number 27	✗	1.139	✓ Solution contains RootOf	2.313
573	chapter 2 3.2	problem number 28	✓	0.606	✓	4.207
574	chapter 2 3.2	problem number 29	✓	0.41	✓	0.589
575	chapter 2 3.2	problem number 30	✓	3.889	✓	0.849
576	chapter 2 3.2	problem number 31	✗	50.01	✓	34.16
577	chapter 2 3.2	problem number 32	✓	0.28	✓	0.579
578	chapter 2 3.2	problem number 33	✗	0.395	✓	2.288
579	chapter 2 3.2	problem number 34	✗	1.469	✓	66.937
580	chapter 2 3.2	problem number 35	✗	1.005	✓	41.681
581	chapter 2 3.2	problem number 36	✗	1.093	✓	58.283
582	chapter 2 4.1	problem number 1	✓	0.023	✓	0.143
583	chapter 2 4.1	problem number 2	✓	0.14	✓	1.8
584	chapter 2 4.1	problem number 3	✓	3.23	✓	15.25
585	chapter 2 4.1	problem number 4	✗	43.098	✓	3.023
586	chapter 2 4.1	problem number 5	✗	57.21	✓	19.35
587	chapter 2 4.1	problem number 6	✓	0.22	✓	1.993
588	chapter 2 4.1	problem number 7	✓	0.041	✓	0.237
589	chapter 2 4.2	problem number 1	✓	0.019	✓	0.012
590	chapter 2 4.2	problem number 2	✓	0.115	✓	1.313
591	chapter 2 4.2	problem number 3	✗	61.929	✓	18.217
592	chapter 2 4.2	problem number 4	✗	64.619	✓	18.563
593	chapter 2 4.2	problem number 5	✗	1.778	✓	9.164
594	chapter 2 4.2	problem number 6	✗	2.923	✓	30.208
595	chapter 2 4.2	problem number 7	✗	487.736	✓	8.38
596	chapter 2 4.2	problem number 8	✓	0.212	✓	0.597
597	chapter 2 4.3	problem number 1	✓	0.028	✓	0.015
598	chapter 2 4.3	problem number 2	✓	0.185	✓	0.002
599	chapter 2 4.3	problem number 3	✓	3.367	✓	4.988
600	chapter 2 4.3	problem number 4	✗	43.425	✓	15.147
601	chapter 2 4.3	problem number 5	✗	2.778	✓	9.777
602	chapter 2 4.3	problem number 6	✗	4.636	✓	20.35
603	chapter 2 4.3	problem number 7	✗	75.718	✓	7.616
604	chapter 2 4.3	problem number 8	✓	0.341	✓	3.885
605	chapter 2 4.4	problem number 1	✓	0.029	✓	0.155
606	chapter 2 4.4	problem number 2	✓	0.189	✓	3.86
607	chapter 2 4.4	problem number 3	✓	3.102	✓	4.598
608	chapter 2 4.4	problem number 4	✓	4.441	✓	3.854
609	chapter 2 4.5	problem number 1	✓	0.28	✓	1.781
610	chapter 2 4.5	problem number 2	✓	0.28	✓	0.664
611	chapter 2 4.5	problem number 3	✓	2.838	✓	8.434
612	chapter 2 4.5	problem number 4	✓	14.583	✓	13.157
613	chapter 2 4.5	problem number 5	✓	0.192	✓	0.665
614	chapter 2 4.5	problem number 6	✗	583.259	✓	16.266
615	chapter 2 5.1	problem number 1	✓	0.061	✓	0.165
616	chapter 2 5.1	problem number 3	✓	1.078	✓	0.109
617	chapter 2 5.1	problem number 4	✗	3.213	✓	0.47
618	chapter 2 5.2	problem number 1	✓	0.252	✓	0.659
619	chapter 2 5.2	problem number 2	✓	0.271	✓	0.467
620	chapter 2 5.2	problem number 3	✗	1.315	✓	1.175
621	chapter 2 5.2	problem number 4	✓	0.838	✓	1.164
622	chapter 2 5.2	problem number 5	✗	23.747	✗	10.796
623	chapter 2 5.2	problem number 6	✗	27.327	✓	9.23
624	chapter 2 5.2	problem number 7	✗	27.996	✗	15.989
625	chapter 2 5.2	problem number 8	✗	24.407	✗	14.186
626	chapter 2 5.2	problem number 9	✓	0.937	✓	2.86
627	chapter 2 5.2	problem number 10	✗	3.325	✓	4.48
628	chapter 2 5.2	problem number 11	✓	0.218	✓	0.539
629	chapter 2 5.2	problem number 12	✗	20.993	✗	9.505
630	chapter 2 5.2	problem number 13	✗	23.817	✗	9.175
631	chapter 2 5.2	problem number 14	✗	22.633	✗	10.421
632	chapter 2 5.2	problem number 15	✓	0.486	✓	2.586
633	chapter 2 5.2	problem number 16	✓	0.319	✓	0.405
634	chapter 2 5.2	problem number 17	✓	1.122	✓	0.839
635	chapter 2 5.2	problem number 18	✓	0.808	✓	3.392
636	chapter 2 5.2	problem number 19	✗	4.562	✓	6.177
637	chapter 2 5.2	problem number 20	✗	4.582	✓	3.954
638	chapter 2 5.2	problem number 21	✗	26.571	✓	3.814
639	chapter 2 5.2	problem number 22	✓	0.721	✓	4.567
640	chapter 2 5.2	problem number 23	✓	0.7	✓	2.847
641	chapter 2 6.1	problem number 1	✓	0.497	✓	1.595
642	chapter 2 6.1	problem number 2	✓ contains unresolved integral	5.852	✓ contains unresolved integral	4.149
643	chapter 2 6.1	problem number 3	✓	1.43	✓ contains unresolved integral	12.66
644	chapter 2 6.1	problem number 4	✗	11.481	✓ contains unresolved integral	7.566
645	chapter 2 6.1	problem number 5	✗	42.587	✓	13.428
646	chapter 2 6.1	problem number 6	✗	4.735	✓ contains unresolved integrals	2.247
647	chapter 2 6.1	problem number 7	✓	19.363	✓	26.217
648	chapter 2 6.1	problem number 8	✗	43.063	✓	3.993
649	chapter 2 6.1	problem number 9	✗	44.379	✓	28.754
650	chapter 2 6.1	problem number 10	✗	44.975	✓	14.128
651	chapter 2 6.1	problem number 11	✗	37.431	✓	29.626
652	chapter 2 6.1	problem number 12	✗	144.702	✗ (Timed out)	600.
653	chapter 2 6.1	problem number 13	✓	0.761	✓	1.866
654	chapter 2 6.1	problem number 14	✗	13.412	✓	13.095
655	chapter 2 6.2	problem number 1	✓	0.529	✓ Contains unresolved integral	2.144
656	chapter 2 6.2	problem number 2	✓	3.955	✓	5.842
657	chapter 2 6.2	problem number 3	✓	0.819	✓	7.66
658	chapter 2 6.2	problem number 4	✗	9.572	✓	4.918
659	chapter 2 6.2	problem number 5	✗	42.291	✓	9.539
660	chapter 2 6.2	problem number 6	✗	42.82	✓	3.48
661	chapter 2 6.2	problem number 7	✗	45.317	✓	16.95
662	chapter 2 6.2	problem number 8	✗	45.734	✓	12.079
663	chapter 2 6.2	problem number 9	✗	135.562	✓	25.044
664	chapter 2 6.2	problem number 10	✗	2.281	✓	13.398
665	chapter 2 6.2	problem number 11	✗	1.857	✓	42.632
666	chapter 2 6.2	problem number 12	✗	53.846	✓	16.057
667	chapter 2 6.3	problem number 1	✓	0.052	✓	0.143
668	chapter 2 6.3	problem number 2	✓	0.434	✓	1.419
669	chapter 2 6.3	problem number 3	✓	0.911	✓ Has unresolved integrals	7.417
670	chapter 2 6.3	problem number 4	✗	44.497	✓	6.748
671	chapter 2 6.3	problem number 5	✗	46.942	✓	3.165
672	chapter 2 6.3	problem number 6	✓	2.57	✓	7.204
673	chapter 2 6.3	problem number 7	✗	38.765	✓	18.134
674	chapter 2 6.3	problem number 8	✗	45.215	✗	87.83
675	chapter 2 6.3	problem number 9	✗	166.671	✗ (Timed out)	600.
676	chapter 2 6.3	problem number 10	✓	0.78	✓	2.565
677	chapter 2 6.3	problem number 11	✗	94.742	✓	52.796
678	chapter 2 6.3	problem number 12	✗	24.388	✓	14.816
679	chapter 2 6.3	problem number 13	✗	2.08	✓	13.869
680	chapter 2 6.3	problem number 14	✗	2.011	✓	16.572
681	chapter 2 6.3	problem number 15	✗	27.354	✓	12.753
682	chapter 2 6.4	problem number 1	✓	0.42	✓ Has unresolved integral	2.391
683	chapter 2 6.4	problem number 2	✓	1.889	✓	3.04
684	chapter 2 6.4	problem number 3	✗	10.658	✓	4.599
685	chapter 2 6.4	problem number 4	✗	44.393	✓	3.522
686	chapter 2 6.4	problem number 5	✗	46.966	✓	2.895
687	chapter 2 6.4	problem number 6	✓	0.674	✓	0.95
688	chapter 2 6.4	problem number 7	✓	0.616	✓	11.699
689	chapter 2 6.4	problem number 8	✓	0.557	✓	4.912
690	chapter 2 6.4	problem number 9	✓	2.124	✓	2.5
691	chapter 2 6.4	problem number 10	✓	2.42	✓	27.569
692	chapter 2 6.4	problem number 11	✓	0.636	✓	4.846
693	chapter 2 6.4	problem number 12	✗	7.997	✓	10.77
694	chapter 2 6.5	problem number 1	✓	1.421	✓ Has unresolved integrals	4.171
695	chapter 2 6.5	problem number 2	✓	2.541	✓	2.568
696	chapter 2 6.5	problem number 3	✓	0.992	✓ Mathematica answer is simpler	5.158
697	chapter 2 6.5	problem number 4	✗	26.076	✗	140.386
698	chapter 2 6.5	problem number 5	✗	44.173	✓	4.745
699	chapter 2 6.5	problem number 6	✗	67.024	✓	4.608
700	chapter 2 6.5	problem number 7	✗	134.91	✗	162.199
701	chapter 2 6.5	problem number 8	✗	27.096	✓	5.187
702	chapter 2 6.5	problem number 9	✗	25.423	✓	0.002
703	chapter 2 6.5	problem number 10	✗	2.703	✓	12.582
704	chapter 2 6.5	problem number 11	✗ (Timed out)	600.	✓	10.393
705	chapter 2 7.1	problem number 1	✓	0.115	✓	0.542
706	chapter 2 7.1	problem number 2	✓	3.243	✓	1.281
707	chapter 2 7.1	problem number 3	✗	0.642	✓	1.933
708	chapter 2 7.1	problem number 4	✓	0.166	✓	0.816
709	chapter 2 7.1	problem number 5	✗	1.937	✓	2.717
710	chapter 2 7.1	problem number 6	✓	0.546	✓	9.601
711	chapter 2 7.1	problem number 7	✗	27.74	✓	20.897
712	chapter 2 7.1	problem number 8	✗	1.547	✓	2.534
713	chapter 2 7.1	problem number 9	✗	66.878	✗	84.036
714	chapter 2 7.1	problem number 10	✗	38.983	✗	72.918
715	chapter 2 7.1	problem number 11	✓	2.214	✓	1.064
716	chapter 2 7.1	problem number 12	✓	1.144	✓	2.67
717	chapter 2 7.2	problem number 1	✓	0.111	✓	0.423
718	chapter 2 7.2	problem number 2	✓	5.018	✓	1.151
719	chapter 2 7.2	problem number 3	✗	15.525	✓	2.323
720	chapter 2 7.2	problem number 4	✓	0.364	✓	1.302
721	chapter 2 7.2	problem number 5	✗	6.465	✓	82.866
722	chapter 2 7.2	problem number 6	✗	30.645	✗	23.073
723	chapter 2 7.2	problem number 7	✗	47.941	✓	21.085
724	chapter 2 7.2	problem number 8	✗	8.379	✓	74.218
725	chapter 2 7.2	problem number 9	✗	41.156	✗	115.308
726	chapter 2 7.2	problem number 10	✗	41.363	✗	140.156
727	chapter 2 7.2	problem number 11	✓	2.468	✓	0.19
728	chapter 2 7.2	problem number 12	✓	1.31	✓	1.005
729	chapter 2 7.3	problem number 1	✓	0.62	✓	0.185
730	chapter 2 7.3	problem number 2	✓	4.24	✓	0.271
731	chapter 2 7.3	problem number 3	✗	16.414	✓	0.457
732	chapter 2 7.3	problem number 4	✓	0.477	✓	0.441
733	chapter 2 7.3	problem number 5	✗	7.761	✓	1.876
734	chapter 2 7.3	problem number 6	✓	2.485	✓	1.246
735	chapter 2 7.3	problem number 7	✗	43.419	✓	21.22
736	chapter 2 7.3	problem number 8	✓	0.31	✓	0.283
737	chapter 2 7.3	problem number 9	✗	40.246	✗	18.052
738	chapter 2 7.3	problem number 10	✗	43.105	✗ (Timed out)	600.
739	chapter 2 7.3	problem number 11	✓	1.069	✓	0.248
740	chapter 2 7.3	problem number 12	✓	0.923	✓	2.867
741	chapter 2 7.4	problem number 1	✓	0.696	✓	0.185
742	chapter 2 7.4	problem number 2	✓	7.007	✓	0.108
743	chapter 2 7.4	problem number 3	✗	21.042	✓	0.241
744	chapter 2 7.4	problem number 4	✓	0.53	✓	0.264
745	chapter 2 7.4	problem number 5	✗	7.845	✓	2.96
746	chapter 2 7.4	problem number 6	✓	2.51	✓	1.598
747	chapter 2 7.4	problem number 7	✗	43.597	✓	15.806
748	chapter 2 7.4	problem number 8	✗	35.956	✗	10.949
749	chapter 2 7.4	problem number 9	✗	40.981	✗	37.954
750	chapter 2 7.4	problem number 10	✗	43.309	✗ (Timed out)	600.
751	chapter 2 7.4	problem number 11	✓	1.151	✓	0.303
752	chapter 2 7.4	problem number 12	✓	1.212	✓	5.337
753	chapter 2 8.1	problem number 1	✓	0.089	✓	0.043
754	chapter 2 8.1	problem number 2	✓	0.343	✓	0.175
755	chapter 2 8.1	problem number 3	✗	0.635	✓	0.097
756	chapter 2 8.1	problem number 4	✓	0.288	✓	0.095
757	chapter 2 8.1	problem number 5	✗	25.578	✓	0.725
758	chapter 2 8.1	problem number 6	✗	0.951	✓	0.094
759	chapter 2 8.1	problem number 7	✗	24.449	✗	4.
760	chapter 2 8.1	problem number 8	✗	24.683	✗	4.237
761	chapter 2 8.1	problem number 9	✗	0.98	✓	0.106
762	chapter 2 8.1	problem number 10	✗	29.935	✗	15.819
763	chapter 2 8.1	problem number 11	✗	28.621	✗	14.721
764	chapter 2 8.1	problem number 12	✓	0.32	✓	0.134
765	chapter 2 8.1	problem number 13	✓	2.757	✓	0.118
766	chapter 2 8.2	problem number 1	✓	1.27	✓	0.478
767	chapter 2 8.2	problem number 2	✗	22.195	✗	3.334
768	chapter 2 8.2	problem number 3	✗	22.231	✗	3.281
769	chapter 2 8.2	problem number 4	✓	0.356	✓	0.136
770	chapter 2 8.2	problem number 5	✗	24.253	✗	4.21
771	chapter 2 8.2	problem number 6	✗	1.4	✓	0.075
772	chapter 2 8.2	problem number 7	✗	27.397	✗	7.125
773	chapter 2 8.2	problem number 8	✗	28.142	✗	6.062
774	chapter 2 8.2	problem number 9	✗	24.18	✗	5.51
775	chapter 2 8.2	problem number 10	✓	0.394	✓	0.145
776	chapter 2 8.2	problem number 11	✗	0.398	✓	0.411
777	chapter 2 8.3	problem number 1	✗	27.712	✗	16.778
778	chapter 2 8.3	problem number 2	✗	30.952	✗	26.32
779	chapter 2 8.3	problem number 3	✗	30.707	✗	11.393
780	chapter 2 8.4	problem number 1	✗	22.104	✓	1.021
781	chapter 2 8.4	problem number 2	✗	21.326	✗	2.787
782	chapter 2 8.4	problem number 3	✗	21.383	✗	1.296
783	chapter 2 8.4	problem number 4	✓	0.216	✓	0.072
784	chapter 2 8.5	problem number 1	✗	27.023	✓	4.046
785	chapter 2 8.5	problem number 2	✗	27.469	✗	18.031
786	chapter 2 8.5	problem number 3	✗	27.157	✗	11.928
787	chapter 2 8.5	problem number 4	✗	30.787	✗	35.659
788	chapter 2 8.5	problem number 5	✗	31.085	✗	16.26
789	chapter 2 8.6	problem number 1	✗	20.868	✗	2.858
790	chapter 2 8.6	problem number 2	✗	21.009	✓	0.521
791	chapter 2 8.6	problem number 3	✓	0.157	✓	0.042
792	chapter 2 8.6	problem number 4	✗	0.489	✓	0.42
793	chapter 2 8.6	problem number 5	✗	21.358	✗	2.431
794	chapter 2 8.6	problem number 6	✗	0.336	✓	0.091
795	chapter 2 8.6	problem number 7	✗	0.389	✓	0.087
796	chapter 2 8.6	problem number 8	✓	0.295	✓	0.188
797	chapter 2 8.6	problem number 9	✗	0.785	✓	0.175
798	chapter 2 8.6	problem number 10	✗	2.323	✓	0.384
799	chapter 2 8.6	problem number 11	✓	0.396	✓	0.131
800	chapter 2 8.6	problem number 12	✗	22.985	✓	0.996
801	chapter 2 9.1	problem number 1	✓	0.087	✓	0.021
802	chapter 2 9.1	problem number 2	✗	0.2	✓	0.664
803	chapter 2 9.1	problem number 3	✗	0.513	✓	0.656
804	chapter 2 9.1	problem number 4	✗	0.96	✗	0.987
805	chapter 2 9.1	problem number 5	✗	3.074	✗	2.858
806	chapter 2 9.2	problem number 1	✗	0.254	✓	0.056
807	chapter 2 9.2	problem number 2	✗	0.08	✓	0.093
808	chapter 2 9.2	problem number 3	✗	0.449	✓	0.229
809	chapter 2 9.2	problem number 4	✗	0.322	✓	0.143
810	chapter 2 9.2	problem number 5	✗	0.666	✗	3.673
811	chapter 2 9.2	problem number 6	✗	0.409	✓	0.148
812	chapter 2 9.2	problem number 7	✗	0.585	✓	0.185
813	chapter 2 9.2	problem number 8	✗	0.291	✓	0.151
814	chapter 2 9.2	problem number 9	✗	0.349	✓	0.21
815	chapter 2 9.2	problem number 10	✗	0.755	✓	1.118
816	chapter 2 9.2	problem number 11	✗	0.404	✓	0.39
817	chapter 2 9.2	problem number 12	✗	1.715	✗	2.638
818	chapter 2 9.2	problem number 13	✗	2.636	✗	2.017
819	chapter 2 9.2	problem number 14	✗	1.018	✓	0.654
820	chapter 2 9.2	problem number 15	✗	0.406	✓	0.897
821	chapter 2 9.2	problem number 16	✗	0.578	✓	0.261
822	chapter 2 9.3	problem number 1	✗	5.761	✓	5.146
823	chapter 2 9.3	problem number 2	✗	5.171	✗	2.488
824	chapter 2 9.3	problem number 3	✗	13.389	✗	6.826
825	chapter 2 9.3	problem number 4	✗	2.527	✗	7.326
826	chapter 2 9.3	problem number 5	✗	2.544	✗	5.814
827	chapter 2 9.3	problem number 6	✗	23.376	✗	5.957
828	chapter 2 9.3	problem number 7	✗	23.929	✗	4.987
829	chapter 2 9.3	problem number 8	✗	13.317	✗	10.507
830	chapter 2 9.3	problem number 9	✓	0.104	✓	0.045
831	chapter 2 9.3	problem number 11	✗	0.382	✓	0.361
832	chapter 2 9.3	problem number 12	✗	3.96	✓	5.555
833	chapter 2 9.3	problem number 13	✗	11.486	✗	3.845
834	chapter 2 9.3	problem number 14	✗	11.034	✗	4.474
835	chapter 2 9.3	problem number 15	✗	18.354	✗	4.669
836	chapter 2 9.3	problem number 16	✗	18.094	✗	4.967
837	chapter 2 9.3	problem number 17	✗	4.589	✗	2.686
838	chapter 2 9.3	problem number 18	✗	28.101	✗	5.198
839	chapter 2 9.3	problem number 19	✗	27.779	✗	4.121
840	chapter 2 9.3	problem number 20	✗	34.12	✗	146.794
841	chapter 2 9.3	problem number 21	✗	58.245	✗	41.75
842	chapter 2 9.3	problem number 22	✗	12.827	✗	16.143
843	chapter 2 9.3	problem number 23	✗	7.809	✗	48.678
844	chapter 3 Examples	Example 1	✓	0.024	✓	0.035
845	chapter 3 Examples	Example 2	✓	0.046	✓	0.046
846	chapter 3 Examples	Example 3	✓	0.006	✓	0.01
847	chapter 3 2.1	Problem 1	✓	0.009	✓	0.011
848	chapter 3 2.1	Problem 2	✓	0.025	✓	0.018
849	chapter 3 2.1	Problem 3	✓	0.027	✓	0.019
850	chapter 3 2.1	Problem 4	✓	0.007	✓	0.009
851	chapter 3 2.1	Problem 5	✓	0.316	✓	0.064
852	chapter 3 2.1	Problem 6	✓	0.187	✓	0.163
853	chapter 3 2.1	Problem 7	✓	0.044	✓	0.046
854	chapter 3 2.1	Problem 8	✓	0.067	✓	0.029
855	chapter 3 2.2	Problem 1	✓	0.095	✓	0.022
856	chapter 3 2.2	Problem 2	✓	0.22	✓	0.037
857	chapter 3 2.2	Problem 3	✓	0.078	✓	0.03
858	chapter 3 2.2	Problem 4	✓	0.395	✓	0.048
859	chapter 3 2.2	Problem 5	✓	0.032	✓	0.027
860	chapter 3 2.2	Problem 6	✓	0.254	✓ Contains unresolved integral with RootOf	0.167
861	chapter 3 2.2	Problem 7	✓	0.209	✓	0.024
862	chapter 3 2.3	Problem 1	✓	0.026	✓	0.045
863	chapter 3 2.3	Problem 2	✓	0.164	✓	0.049
864	chapter 3 2.3	Problem 3	✓	0.151	✓	0.031
865	chapter 3 2.3	Problem 4	✓	0.6	✓	0.05
866	chapter 3 2.3	Problem 5	✓	0.024	✓	0.014
867	chapter 3 2.3	Problem 6	✓	0.126	✓	0.146
868	chapter 3 2.4	Problem 1	✓	0.133	✓	0.022
869	chapter 3 2.4	Problem 2	✓	0.056	✓	0.021
870	chapter 3 2.4	Problem 3	✓	0.031	✓	0.686
871	chapter 3 2.4	Problem 4	✓	0.045	✓	0.036
872	chapter 3 2.4	Problem 5	✓	0.069	✓ Result has unresolved integral	0.084
873	chapter 3 2.4	Problem 6	✓	0.117	✓ Result has unresolved integral	0.041
874	chapter 3 2.4	Problem 7	✓	0.815	✓ Result has unresolved integral	1.062
875	chapter 3 2.4	Problem 8	✓	2.198	✓ Result has unresolved integral	0.74
876	chapter 3 2.4	Problem 9	✓	3.553	✓	0.439
877	chapter 3 2.4	Problem 10	✗	2.222	✓	8.292
878	chapter 3 2.4	Problem 11	✓	0.505	✓	1.082
879	chapter 3 3.1	Problem 1	✓	0.078	✓	0.04
880	chapter 3 3.1	Problem 2	✓	0.063	✓	0.028
881	chapter 3 3.1	Problem 3	✓	0.272	✓	0.128
882	chapter 3 3.1	Problem 4	✓	0.292	✓	0.123
883	chapter 3 3.1	Problem 5	✓	0.589	✓	0.119
884	chapter 3 3.1	Problem 6	✓	0.732	✓	0.031
885	chapter 3 3.1	Problem 7	✓	0.819	✓	0.125
886	chapter 3 3.1	Problem 8	✗	3.636	✓	3.932
887	chapter 3 3.1	Problem 9	✗	1.433	✓	1.319
888	chapter 3 3.1	Problem 10	✓	1.86	✓	0.413
889	chapter 3 3.1	Problem 11	✓	0.571	✓	0.605
890	chapter 3 3.2	Problem 1	✓	0.195	✓	0.03
891	chapter 3 3.2	Problem 2	✓	0.034	✓	0.067
892	chapter 3 3.2	Problem 3	✓	0.095	✓	0.036
893	chapter 3 3.2	Problem 4	✓	0.6	✓	0.256
894	chapter 3 3.2	Problem 5	✓	0.911	✓	1.251
895	chapter 3 3.2	Problem 6	✓	0.051	✓	0.025
896	chapter 3 3.2	Problem 7	✓	0.053	✓	0.022
897	chapter 3 3.2	Problem 8	✓	0.436	✓	0.14
898	chapter 3 3.2	Problem 9	✓	0.431	✓	0.633
899	chapter 3 3.2	Problem 10	✓	0.402	✓	0.875
900	chapter 3 3.2	Problem 11	✓	2.839	✓	0.353
901	chapter 3 4.1	Problem 1	✓	0.119	✓	0.03
902	chapter 3 4.1	Problem 2	✓	0.118	✓	0.022
903	chapter 3 4.1	Problem 3	✗ (Timed out)	600.	✓	0.029
904	chapter 3 4.1	Problem 4	✗ (Timed out)	600.	✓	6.531
905	chapter 3 4.1	Problem 5	✓	16.09	✓	11.256
906	chapter 3 4.2	Problem 1	✓	0.117	✓	0.087
907	chapter 3 4.2	Problem 2	✓	0.113	✓	0.041
908	chapter 3 4.2	Problem 3	✓	0.385	✓	0.038
909	chapter 3 4.2	Problem 4	✗ (Timed out)	600.	✓	1.062
910	chapter 3 4.2	Problem 5	✓	153.043	✓	1.985
911	chapter 3 4.3	Problem 1	✓	0.179	✓	0.028
912	chapter 3 4.3	Problem 2	✓	0.097	✓	0.017
913	chapter 3 4.3	Problem 3	✓	0.077	✓	0.018
914	chapter 3 4.3	Problem 4	✓	538.891	✓	2.26
915	chapter 3 4.3	Problem 5	✓	208.836	✓	1.6
916	chapter 3 4.4	Problem 1	✓	0.271	✓	0.071
917	chapter 3 4.4	Problem 2	✓	0.191	✓	0.017
918	chapter 3 4.4	Problem 3	✓	0.093	✓	0.016
919	chapter 3 4.4	Problem 4	✗ (Timed out)	600.	✓	2.255
920	chapter 3 4.4	Problem 5	✓	253.475	✓	2.521
921	chapter 3 4.5	Problem 1	✓	0.126	✓	0.049
922	chapter 3 4.5	Problem 2	✓	0.275	✓	0.098
923	chapter 3 4.5	Problem 3	✓	0.11	✓	0.058
924	chapter 3 4.5	Problem 4	✓	0.192	✓	0.195
925	chapter 3 4.5	Problem 5	✓	0.177	✓	0.075
926	chapter 3 5.1	Problem 1	✓	0.099	✓	0.024
927	chapter 3 5.1	Problem 2	✓	0.029	✓	0.023
928	chapter 3 5.1	Problem 3	✓	0.293	✓	0.67
929	chapter 3 5.1	Problem 4	✓	1.482	✓	0.209
930	chapter 3 5.1	Problem 5	✓	1.004	✓	0.244
931	chapter 3 5.1	Problem 6	✗	0.326	✓	1.247
932	chapter 3 5.2	Problem 1	✓	0.121	✓	0.023
933	chapter 3 5.2	Problem 2	✓	0.32	✓ Result has unresolved integrals	0.806
934	chapter 3 5.2	Problem 3	✓	0.149	✓	0.326
935	chapter 3 5.3	Problem 4	✓	0.08	✓ Result has unresolved integrals	0.097
936	chapter 3 5.3	Problem 5	✓	0.09	✓	0.161
937	chapter 3 5.3	Problem 6	✓	1.75	✓	1.455
938	chapter 3 6.1	Problem 1	✓	0.129	✓	0.024
939	chapter 3 6.1	Problem 2	✓	0.12	✓	0.024
940	chapter 3 6.1	Problem 3	✓	0.087	✓	0.019
941	chapter 3 6.1	Problem 4	✓	240.979	✓	3.825
942	chapter 3 6.1	Problem 5	✓	92.342	✓ Result has unresolved integrals	5.837
943	chapter 3 6.2	Problem 1	✓	0.131	✓	0.077
944	chapter 3 6.2	Problem 2	✓	0.121	✓	0.042
945	chapter 3 6.2	Problem 3	✓	0.085	✓	0.037
946	chapter 3 6.2	Problem 4	✓	243.081	✓	2.164
947	chapter 3 6.2	Problem 5	✓	53.544	✓	2.97
948	chapter 3 6.3	Problem 1	✓	0.201	✓	0.028
949	chapter 3 6.3	Problem 2	✓	0.107	✓	0.018
950	chapter 3 6.3	Problem 3	✓	0.085	✓	0.014
951	chapter 3 6.3	Problem 4	✓	73.994	✓	2.963
952	chapter 3 6.3	Problem 5	✓	30.294	✓	3.656
953	chapter 3 6.4	Problem 1	✓	0.295	✓	0.074
954	chapter 3 6.4	Problem 2	✓	0.179	✓	0.02
955	chapter 3 6.4	Problem 3	✓	0.102	✓	0.02
956	chapter 3 6.4	Problem 4	✓	86.433	✓	4.015
957	chapter 3 6.4	Problem 5	✓	29.022	✓	3.298
958	chapter 3 6.5	Problem 1	✓	0.152	✓	0.063
959	chapter 3 6.5	Problem 2	✓	0.188	✓	0.068
960	chapter 3 6.5	Problem 3	✓	0.417	✓	0.042
961	chapter 3 6.5	Problem 4	✓	0.244	✓	0.412
962	chapter 3 6.5	Problem 5	✓	0.309	✓	0.649
963	chapter 3 6.5	Problem 6	✓	0.164	✓	0.21
964	chapter 3 7.1	Problem 1	✓	1.178	✓	0.071
965	chapter 3 7.1	Problem 2	✓	0.455	✓	0.075
966	chapter 3 7.1	Problem 3	✓	0.148	✓	0.024
967	chapter 3 7.1	Problem 4	✓	8.92	✓	1.725
968	chapter 3 7.1	Problem 5	✓	1.269	✓	1.04
969	chapter 3 7.2	Problem 1	✓	1.238	✓	0.022
970	chapter 3 7.2	Problem 2	✓	0.764	✓	0.016
971	chapter 3 7.2	Problem 3	✓	0.205	✓	0.017
972	chapter 3 7.2	Problem 4	✓	13.428	✓	1.386
973	chapter 3 7.2	Problem 5	✓	1.478	✓	0.824
974	chapter 3 7.3	Problem 1	✓	0.083	✓	0.195
975	chapter 3 7.3	Problem 2	✓	0.106	✓	0.134
976	chapter 3 7.3	Problem 3	✓	0.064	✓	0.047
977	chapter 3 7.3	Problem 4	✓	0.548	✓	5.161
978	chapter 3 7.3	Problem 5	✓	0.681	✓	1.393
979	chapter 3 7.4	Problem 1	✓	0.058	✓	0.048
980	chapter 3 7.4	Problem 2	✓	0.122	✓	0.026
981	chapter 3 7.4	Problem 3	✓	0.07	✓	0.035
982	chapter 3 7.4	Problem 4	✓	0.609	✓	2.495
983	chapter 3 7.4	Problem 5	✓	0.744	✓	1.138
984	chapter 3 8.1	Problem 1	✓	0.01	✓	0.017
985	chapter 3 8.1	Problem 2	✓	0.041	✓	0.028
986	chapter 3 8.1	Problem 3	✓	0.032	✓	0.026
987	chapter 3 8.1	Problem 4	✓	0.03	✓	0.096
988	chapter 3 8.1	Problem 5	✓	0.034	✓	0.037
989	chapter 3 8.1	Problem 6	✓	0.06	✓	0.018
990	chapter 3 8.1	Problem 7	✓	0.082	✓	0.087
991	chapter 3 8.1	Problem 8	✓	0.197	✓	0.044
992	chapter 3 8.1	Problem 9	✓	0.185	✓	0.028
993	chapter 3 8.1	Problem 10	✓	0.14	✓	0.013
994	chapter 3 8.1	Problem 11	✓	0.213	✓	0.328
995	chapter 3 8.1	Problem 12	✓	0.554	✓	0.215
996	chapter 3 8.1	Problem 13	✗	0.433	✓	0.522
997	chapter 3 8.1	Problem 14	✓	0.241	✓	0.217
998	chapter 3 8.1	Problem 15	✓	0.731	✓	0.441
999	chapter 3 8.1	Problem 16	✓	0.084	✓	0.022
1000	chapter 3 8.2	Problem 1	✓	0.018	✓	0.026
1001	chapter 3 8.2	Problem 2	✓	0.019	✓	0.019
1002	chapter 3 8.2	Problem 3	✓	0.06	✓	0.039
1003	chapter 3 8.2	Problem 4	✗	0.092	✓	0.068
1004	chapter 3 8.2	Problem 5	✓	0.57	✓	0.243
1005	chapter 3 8.2	Problem 6	✓	0.061	✓	0.019
1006	chapter 3 8.2	Problem 7	✗	0.187	✓	0.087
1007	chapter 3 8.3	Problem 1	✓	0.037	✓	0.032
1008	chapter 3 8.3	Problem 2	✓	0.018	✓	0.01
1009	chapter 3 8.3	Problem 3	✓	0.037	✓	0.024
1010	chapter 3 8.3	Problem 4	✓	0.061	✓	0.022
1011	chapter 3 8.3	Problem 5	✓	0.066	✓	0.182
1012	chapter 3 8.3	Problem 6	✓	0.094	✓	0.087
1013	chapter 3 8.3	Problem 7	✓	0.048	✓	0.034
1014	chapter 3 8.3	Problem 8	✓	0.216	✓	0.738
1015	chapter 3 8.4	Problem 1	✓	0.01	✓	0.018
1016	chapter 3 8.4	Problem 2	✓	0.054	✓	0.022
1017	chapter 3 8.4	Problem 3	✓	0.078	✓	0.048
1018	chapter 3 8.4	Problem 4	✓	0.193	✓	0.141
1019	chapter 3 8.4	Problem 5	✓	0.523	✓	0.318
1020	chapter 3 8.4	Problem 6	✗	0.478	✓	0.704
1021	chapter 3 8.4	Problem 7	✗	0.159	✓ Contains RootOf	0.035
1022	chapter 4 1.1	Example 1	✓	0.033	✓	0.034
1023	chapter 4 1.1	Example 2	✓	0.102	✓	0.029
1024	chapter 4 1.1	Example 3	✓	0.007	✓	0.015
1025	chapter 4 2.1	Problem 1	✓	0.007	✓	0.017
1026	chapter 4 2.1	Problem 2	✓	0.03	✓	0.017
1027	chapter 4 2.1	Problem 3	✓	0.018	✓	0.01
1028	chapter 4 2.1	Problem 4	✓	0.016	✓	0.029
1029	chapter 4 2.1	Problem 5	✓	0.018	✓	0.01
1030	chapter 4 2.1	Problem 6	✓	0.027	✓	0.013
1031	chapter 4 2.1	Problem 7	✗	0.221	✗ (Timed out)	600.
1032	chapter 4 2.2	Problem 1	✓	0.042	✓	0.059
1033	chapter 4 2.2	Problem 2	✓	0.03	✓	0.033
1034	chapter 4 2.2	Problem 3	✓	0.146	✓	0.048
1035	chapter 4 2.2	Problem 4	✓	0.164	✓	0.068
1036	chapter 4 2.2	Problem 5	✓	0.158	✓	0.093
1037	chapter 4 2.2	Problem 6	✓	0.094	✓	0.073
1038	chapter 4 2.2	Problem 7	✗	15.1	✓	1.808
1039	chapter 4 2.2	Problem 8	✗	1.928	✓	1.122
1040	chapter 4 2.3	Problem 1	✓	0.023	✓	0.05
1041	chapter 4 2.3	Problem 2	✓	0.03	✓	0.031
1042	chapter 4 2.3	Problem 3	✓	0.023	✓	0.027
1043	chapter 4 2.3	Problem 4	✓	0.149	✓	0.101
1044	chapter 4 2.3	Problem 5	✓	0.056	✓	0.186
1045	chapter 4 2.3	Problem 6	✓	0.135	✓	0.141
1046	chapter 4 2.4	Problem 1	✓	0.183	✓	0.033
1047	chapter 4 2.4	Problem 2 case \(n\neq -1, n\neq -2\)	✓	0.049	✓	0.09
1048	chapter 4 2.4	Problem 2 case \(n = -1\)	✓	0.058	✓	0.043
1049	chapter 4 2.4	Problem 2 case \(n = -2\)	✓	0.098	✓	0.043
1050	chapter 4 2.4	Problem 3	✓	0.032	✓	0.028
1051	chapter 4 2.4	Problem 4	✓	0.046	✓	0.03
1052	chapter 4 2.4	Problem 5	✓	0.071	✓	0.027
1053	chapter 4 2.4	Problem 6	✓	0.121	✓	0.037
1054	chapter 4 2.4	Problem 7	✓	0.814	✓	1.94
1055	chapter 4 2.4	Problem 8	✓	1.868	✓	0.701
1056	chapter 4 2.4	Problem 9	✓	3.649	✓	5.513
1057	chapter 4 2.4	Problem 10	✓	1.421	✓	13.451
1058	chapter 4 2.4	Problem 11	✓	0.509	✓	2.319
1059	chapter 4 2.4	Problem 12	✗	0.506	✓	0.588
1060	chapter 4 2.4	Problem 13	✗	0.512	✓	0.766
1061	chapter 4 3.1	Problem 1	✓	0.159	✓	0.032
1062	chapter 4 3.1	Problem 2	✓	0.124	✓	0.034
1063	chapter 4 3.1	Problem 3	✓	0.281	✓	0.148
1064	chapter 4 3.1	Problem 4	✓	0.377	✓	0.177
1065	chapter 4 3.1	Problem 5	✓	0.588	✓	0.414
1066	chapter 4 3.1	Problem 6	✓	4.021	✓	0.138
1067	chapter 4 3.1	Problem 7	✗	2.408	✓	4.213
1068	chapter 4 3.1	Problem 8	✗	1.317	✓	2.385
1069	chapter 4 3.1	Problem 9	✓	1.984	✓	1.352
1070	chapter 4 3.1	Problem 10	✓	0.398	✓	0.033
1071	chapter 4 3.2	Problem 1	✓	0.572	✓	0.048
1072	chapter 4 3.2	Problem 2	✓	0.078	✓	0.029
1073	chapter 4 3.2	Problem 3	✓	0.052	✓	0.026
1074	chapter 4 3.2	Problem 4	✓	0.381	✓	0.206
1075	chapter 4 3.2	Problem 5	✓	0.444	✓	0.313
1076	chapter 4 3.2	Problem 6	✓	0.406	✓	0.123
1077	chapter 4 3.2	Problem 7	✓	2.94	✓	0.066
1078	chapter 4 4.1	Problem 1	✓	0.483	✓	0.029
1079	chapter 4 4.1	Problem 2	✓	0.518	✓	0.029
1080	chapter 4 4.1	Problem 3	✓	0.364	✓	0.021
1081	chapter 4 4.1	Problem 4	✗ (Timed out)	600.	✓	0.968
1082	chapter 4 4.1	Problem 5	✓	281.809	✓	1.134
1083	chapter 4 4.2	Problem 1	✓	0.546	✓	0.022
1084	chapter 4 4.2	Problem 2	✓	0.509	✓	0.048
1085	chapter 4 4.2	Problem 3	✓	0.381	✓	0.045
1086	chapter 4 4.2	Problem 4	✗ (Timed out)	600.	✓	0.707
1087	chapter 4 4.2	Problem 5	✓	151.99	✓	0.838
1088	chapter 4 4.3	Problem 1	✓	0.195	✓	0.109
1089	chapter 4 4.3	Problem 2	✓	0.098	✓	0.119
1090	chapter 4 4.3	Problem 3	✓	0.094	✓	0.088
1091	chapter 4 4.3	Problem 4	✓	575.866	✓	1.175
1092	chapter 4 4.3	Problem 5	✓	204.54	✓	1.182
1093	chapter 4 4.4	Problem 1	✓	0.417	✓	0.189
1094	chapter 4 4.4	Problem 2	✓	0.237	✓	0.099
1095	chapter 4 4.4	Problem 3	✓	0.125	✓	0.084
1096	chapter 4 4.4	Problem 4	✓	578.971	✓	1.509
1097	chapter 4 4.4	Problem 5	✓	225.853	✓	1.35
1098	chapter 4 4.5	Problem 1	✓	0.534	✓	0.05
1099	chapter 4 4.5	Problem 2	✓	0.401	✓	0.103
1100	chapter 4 4.5	Problem 3	✓	0.163	✓	0.232
1101	chapter 4 4.5	Problem 4	✓	0.084	✓	0.045
1102	chapter 4 4.5	Problem 5	✓	0.28	✓	0.637
1103	chapter 4 4.5	Problem 6	✓	0.823	✓	0.66
1104	chapter 4 5.1	Problem 1	✓	0.1	✓	0.109
1105	chapter 4 5.1	Problem 2	✓	0.041	✓	0.057
1106	chapter 4 5.1	Problem 3	✓	1.38	✓	0.145
1107	chapter 4 5.1	Problem 4	✓	0.783	✓	0.284
1108	chapter 4 5.1	Problem 5	✓	0.215	✓	0.408
1109	chapter 4 5.1	Problem 6	✗	0.356	✓	1.359
1110	chapter 4 5.2	Problem 1	✓	0.236	✓	1.598
1111	chapter 4 5.2	Problem 2	✓	0.625	✓	0.443
1112	chapter 4 5.2	Problem 3	✓	0.155	✓	0.031
1113	chapter 4 5.2	Problem 4	✓	0.08	✓	0.06
1114	chapter 4 5.2	Problem 5	✓	0.076	✓	0.29
1115	chapter 4 5.2	Problem 6	✓	1.543	✓	8.379
1116	chapter 4 6.1	Problem 1	✓	0.485	✓	0.035
1117	chapter 4 6.1	Problem 2	✓	0.278	✓	0.027
1118	chapter 4 6.1	Problem 3	✓	0.307	✓	0.06
1119	chapter 4 6.1	Problem 4	✓	242.628	✓	2.815
1120	chapter 4 6.1	Problem 5	✓	87.276	✓	2.573
1121	chapter 4 6.2	Problem 1	✓	0.509	✓	0.062
1122	chapter 4 6.2	Problem 2	✓	0.522	✓	0.08
1123	chapter 4 6.2	Problem 3	✓	0.378	✓	0.018
1124	chapter 4 6.2	Problem 4	✓	240.874	✓	1.473
1125	chapter 4 6.2	Problem 5	✓	51.635	✓	1.661
1126	chapter 4 6.3	Problem 1	✓	0.105	✓	0.061
1127	chapter 4 6.3	Problem 2	✓	0.209	✓	0.076
1128	chapter 4 6.3	Problem 3	✓	0.089	✓	0.049
1129	chapter 4 6.3	Problem 4	✓	73.537	✓	1.555
1130	chapter 4 6.3	Problem 5	✓	30.743	✓	1.48
1131	chapter 4 6.4	Problem 1	✓	0.256	✓	0.052
1132	chapter 4 6.4	Problem 2	✓	0.443	✓	0.121
1133	chapter 4 6.4	Problem 3	✓	0.135	✓	0.041
1134	chapter 4 6.4	Problem 4	✓	83.174	✓	1.957
1135	chapter 4 6.4	Problem 5	✓	28.145	✓	1.8
1136	chapter 4 6.5	Problem 1	✓	0.217	✓	0.063
1137	chapter 4 6.5	Problem 2	✓	0.081	✓	0.108
1138	chapter 4 6.5	Problem 3	✓	0.21	✓	0.414
1139	chapter 4 6.5	Problem 4	✓	0.217	✓	0.756
1140	chapter 4 6.5	Problem 5	✓	0.797	✓	0.394
1141	chapter 4 6.5	Problem 6	✓	0.201	✓	0.404
1142	chapter 4 7.1	Problem 1	✓	1.176	✓	0.072
1143	chapter 4 7.1	Problem 2	✓	0.431	✓	0.078
1144	chapter 4 7.1	Problem 3	✓	0.492	✓	0.059
1145	chapter 4 7.1	Problem 4	✓	0.094	✓	5.972
1146	chapter 4 7.1	Problem 5	✓	1.293	✓	4.364
1147	chapter 4 7.2	Problem 1	✓	1.358	✓	0.039
1148	chapter 4 7.2	Problem 2	✓	0.704	✓	0.03
1149	chapter 4 7.2	Problem 3	✓	0.647	✓	0.041
1150	chapter 4 7.2	Problem 4	✓	0.105	✓	4.49
1151	chapter 4 7.2	Problem 5	✓	0.382	✓	4.661
1152	chapter 4 7.3	Problem 1	✓	0.174	✓	0.179
1153	chapter 4 7.3	Problem 2	✓	0.12	✓	0.144
1154	chapter 4 7.3	Problem 3	✓	0.435	✓	0.168
1155	chapter 4 7.3	Problem 4	✓	0.133	✓	1.363
1156	chapter 4 7.3	Problem 5	✓	0.409	✓	2.472
1157	chapter 4 7.4	Problem 1	✓	0.146	✓	0.136
1158	chapter 4 7.4	Problem 2	✓	0.133	✓	0.091
1159	chapter 4 7.4	Problem 3	✓	0.345	✓	0.148
1160	chapter 4 7.4	Problem 4	✓	0.138	✓	1.17
1161	chapter 4 7.4	Problem 5	✓	0.408	✓	1.194
1162	chapter 4 8.1	Problem 1	✓	0.01	✓	0.018
1163	chapter 4 8.1	Problem 2	✓	0.041	✓	0.025
1164	chapter 4 8.1	Problem 3	✓	0.032	✓	0.016
1165	chapter 4 8.1	Problem 4	✓	0.031	✓	0.026
1166	chapter 4 8.1	Problem 5	✓	0.035	✓	0.03
1167	chapter 4 8.1	Problem 6	✓	0.058	✓	0.016
1168	chapter 4 8.1	Problem 7	✓	0.084	✓	0.05
1169	chapter 4 8.1	Problem 8	✓	0.193	✓	0.062
1170	chapter 4 8.1	Problem 9	✓	0.19	✓	0.062
1171	chapter 4 8.1	Problem 10	✓	0.142	✓	0.042
1172	chapter 4 8.1	Problem 11	✓	0.215	✓	0.121
1173	chapter 4 8.1	Problem 12	✓	0.549	✓	0.239
1174	chapter 4 8.1	Problem 13	✗	23.95	✗	5.972
1175	chapter 4 8.1	Problem 14	✓	0.247	✓	0.096
1176	chapter 4 8.1	Problem 15	✓	0.242	✓	0.162
1177	chapter 4 8.2	Problem 1	✓	0.018	✓	0.027
1178	chapter 4 8.2	Problem 2	✓	0.019	✓	0.023
1179	chapter 4 8.2	Problem 3	✓	0.058	✓	0.023
1180	chapter 4 8.2	Problem 4	✗	0.085	✓ contains RootOf	0.047
1181	chapter 4 8.2	Problem 5	✗	22.035	✗	2.423
1182	chapter 4 8.2	Problem 6	✗	0.178	✓ has RootOf	0.097
1183	chapter 4 8.2	Problem 7	✗	0.05	✓ has RootOf	0.042
1184	chapter 4 8.3	Problem 1	✓	0.034	✓	0.031
1185	chapter 4 8.3	Problem 2	✓	0.018	✓	0.02
1186	chapter 4 8.3	Problem 3	✓	0.034	✓	0.02
1187	chapter 4 8.3	Problem 4	✓	0.096	✓	0.313
1188	chapter 4 8.3	Problem 5	✓	0.09	✓	0.038
1189	chapter 4 8.3	Problem 6	✓	0.045	✓	0.033
1190	chapter 4 8.3	Problem 7	✓	0.053	✓	1.953
1191	chapter 4 8.4	Problem 1	✓	0.009	✓	0.013
1192	chapter 4 8.4	Problem 2	✓	0.051	✓	0.015
1193	chapter 4 8.4	Problem 3	✓	0.072	✓	0.021
1194	chapter 4 8.4	Problem 4	✓	0.185	✓	0.028
1195	chapter 4 8.4	Problem 5	✓	0.529	✓	0.267
1196	chapter 4 8.4	Problem 6	✗	23.902	✗	5.206
1197	chapter 4 8.4	Problem 7	✗	0.056	✓ has RootOf	0.092
1198	chapter 5 2.1	Problem 1	✓	0.018	✓	0.026
1199	chapter 5 2.1	Problem 2	✓	0.031	✓	0.02
1200	chapter 5 2.1	Problem 3	✓	0.051	✓	0.042
1201	chapter 5 2.1	Problem 4	✓	0.058	✓	0.024
1202	chapter 5 2.1	Problem 5	✓	0.378	✓	0.065
1203	chapter 5 2.1	Problem 6	✓	0.098	✓	0.064
1204	chapter 5 2.1	Problem 7	✓	5.912	✗ (Timed out)	600.
1205	chapter 5 2.1	Problem 8	✓	1.624	✓	0.798
1206	chapter 5 2.2	Problem 1	✓	0.121	✓	0.042
1207	chapter 5 2.2	Problem 2	✓	0.149	✓	0.034
1208	chapter 5 2.2	Problem 3	✓	0.023	✓	0.029
1209	chapter 5 2.2	Problem 4	✓	0.27	✓	0.052
1210	chapter 5 2.2	Problem 5	✗ (Timed out)	600.	✓	24.969
1211	chapter 5 2.2	Problem 6	✗ (Timed out)	600.	✓	7.573
1212	chapter 5 2.2	Problem 7	✗	42.122	✓	0.978
1213	chapter 5 2.2	Problem 8	✗	27.288	✓	28.928
1214	chapter 5 2.3	Problem 1	✓	0.402	✓	0.287
1215	chapter 5 2.3	Problem 2	✓	0.428	✓	0.087
1216	chapter 5 2.3	Problem 3	✓	3.345	✓	0.153
1217	chapter 5 2.3	Problem 4	✓	3.251	✓	0.003
1218	chapter 5 2.3	Problem 5	✓	0.545	✓	0.657
1219	chapter 5 2.3	Problem 6	✓	0.17	✓	0.162
1220	chapter 5 2.3	Problem 7	✓	1.32	✓ contains RootOf	0.66
1221	chapter 5 2.4	Problem 1	✓	0.544	✓	0.361
1222	chapter 5 2.4	Problem 2	✓	0.148	✓	0.124
1223	chapter 5 2.4	Problem 3	✓	0.049	✓	0.168
1224	chapter 5 2.4	Problem 4	✓	0.141	✓	0.108
1225	chapter 5 2.4	Problem 5	✓	0.63	✓	0.96
1226	chapter 5 2.4	Problem 6	✓	0.492	✓	0.969
1227	chapter 5 2.4	Problem 7	✓	0.295	✓	0.178
1228	chapter 5 2.4	Problem 8	✓	0.274	✓	0.143
1229	chapter 5 2.4	Problem 9	✓	6.684	✓	7.115
1230	chapter 5 2.4	Problem 10	✓	2.088	✓	3.049
1231	chapter 5 2.4	Problem 11	✓	4.096	✓	3.011
1232	chapter 5 2.4	Problem 12	✓	1.276	✓	1.314
1233	chapter 5 3.1	Problem 1	✓	0.371	✓	0.26
1234	chapter 5 3.1	Problem 2	✓	0.56	✓	0.321
1235	chapter 5 3.1	Problem 3	✓	1.446	✓	0.497
1236	chapter 5 3.1	Problem 4	✗	2.4	✓	4.126
1237	chapter 5 3.1	Problem 5	✗	1.468	✓	2.312
1238	chapter 5 3.1	Problem 6	✓	5.785	✓	0.937
1239	chapter 5 3.1	Problem 7	✓	0.319	✓	0.085
1240	chapter 5 3.1	Problem 8	✓	0.333	✓	0.177
1241	chapter 5 3.2	Problem 1	✓	0.176	✓	0.134
1242	chapter 5 3.2	Problem 2	✓	0.157	✓	0.066
1243	chapter 5 3.2	Problem 3	✓	0.131	✓	0.063
1244	chapter 5 3.2	Problem 4	✓	0.787	✓	1.153
1245	chapter 5 3.2	Problem 5	✓	0.398	✓	0.266
1246	chapter 5 3.2	Problem 6	✓	0.289	✓	0.146
1247	chapter 5 3.2	Problem 7	✓	3.02	✓	0.471
1248	chapter 5 3.2	Problem 8	✓	0.094	✓	0.035
1249	chapter 5 3.2	Problem 9	✓	0.605	✓	0.759
1250	chapter 5 3.2	Problem 10	✓	0.658	✓	0.248
1251	chapter 5 4.1	Problem 1	✓	9.188	✓	15.043
1252	chapter 5 4.1	Problem 2	✓	267.327	✓	0.309
1253	chapter 5 4.1	Problem 3	✓	73.281	✓	9.376
1254	chapter 5 4.1	Problem 4	✓	3.952	✓	6.78
1255	chapter 5 4.1	Problem 5	✓	0.726	✓	1.606
1256	chapter 5 4.2	Problem 1	✓	9.015	✓	12.51
1257	chapter 5 4.2	Problem 2	✓	136.984	✓	0.337
1258	chapter 5 4.2	Problem 3	✓	74.284	✓	6.861
1259	chapter 5 4.2	Problem 4	✓	0.151	✓	0.203
1260	chapter 5 4.2	Problem 5	✓	3.934	✓	5.384
1261	chapter 5 4.2	Problem 6	✓	2.066	✓	1.643
1262	chapter 5 4.3	Problem 1	✓	10.527	✓	1.682
1263	chapter 5 4.3	Problem 2	✓	82.418	✓	0.374
1264	chapter 5 4.3	Problem 3	✗ (Timed out)	600.	✓	2.931
1265	chapter 5 4.3	Problem 4	✓	5.011	✓	4.151
1266	chapter 5 4.3	Problem 5	✓	1.458	✓	1.918
1267	chapter 5 4.4	Problem 1	✓	10.298	✓	1.704
1268	chapter 5 4.4	Problem 2	✓	80.641	✓	0.376
1269	chapter 5 4.4	Problem 3	✗ (Timed out)	600.	✓	3.115
1270	chapter 5 4.4	Problem 4	✓	5.027	✓	2.582
1271	chapter 5 4.4	Problem 5	✓	1.452	✓	2.072
1272	chapter 5 4.5	Problem 1	✓	1.022	✓	13.503
1273	chapter 5 4.5	Problem 2	✓	7.489	✓	10.404
1274	chapter 5 4.5	Problem 3	✓	0.451	✓	2.831
1275	chapter 5 4.5	Problem 4	✓	15.107	✓	1.453
1276	chapter 5 4.5	Problem 5	✓	4.184	✓	9.763
1277	chapter 5 4.5	Problem 6	✓	3.921	✓	5.203
1278	chapter 5 5.1	Problem 1	✓	0.253	✓	0.707
1279	chapter 5 5.1	Problem 2	✓	0.087	✓	0.115
1280	chapter 5 5.1	Problem 3	✓	0.604	✓	1.575
1281	chapter 5 5.1	Problem 4	✗	0.14	✓	0.434
1282	chapter 5 5.1	Problem 5	✓	0.458	✓	287.069
1283	chapter 5 5.1	Problem 6	✓	0.192	✓	345.013
1284	chapter 5 5.2	Problem 1	✓	0.653	✓	0.308
1285	chapter 5 5.2	Problem 2	✓	0.565	✓	0.367
1286	chapter 5 5.2	Problem 3	✓	0.324	✓	0.261
1287	chapter 5 5.2	Problem 4	✓	0.611	✓	0.278
1288	chapter 5 5.2	Problem 5	✓	0.205	✓	0.477
1289	chapter 5 5.2	Problem 6	✓	1.445	✓	0.669
1290	chapter 5 5.2	Problem 7	✓	0.307	✓	2.164
1291	chapter 5 6.1	Problem 1	✓	0.588	✓	0.073
1292	chapter 5 6.1	Problem 2	✓	1.067	✓	26.003
1293	chapter 5 6.1	Problem 3	✓	3.414	✓	19.74
1294	chapter 5 6.1	Problem 4	✓	1.999	✓	0.353
1295	chapter 5 6.1	Problem 5	✓	4.365	✓	0.614
1296	chapter 5 6.1	Problem 6	✓	1.809	✓	24.011
1297	chapter 5 6.1	Problem 7	✓	0.835	✓	9.985
1298	chapter 5 6.2	Problem 1	✓	0.569	✓	0.116
1299	chapter 5 6.2	Problem 2	✓	1.338	✓	14.038
1300	chapter 5 6.2	Problem 3	✓	3.409	✓	15.254
1301	chapter 5 6.2	Problem 4	✓	1.509	✓	0.467
1302	chapter 5 6.2	Problem 5	✓	4.631	✓	0.495
1303	chapter 5 6.2	Problem 6	✓	1.8	✓	12.414
1304	chapter 5 6.3	Problem 1	✓	2.393	✓	0.316
1305	chapter 5 6.3	Problem 2	✓	5.764	✓	15.577
1306	chapter 5 6.3	Problem 3	✓	2.392	✓	2.202
1307	chapter 5 6.3	Problem 4	✓	0.926	✓	2.228
1308	chapter 5 6.3	Problem 5	✓	5.744	✓	0.313
1309	chapter 5 6.3	Problem 6	✓	1.841	✓	12.162
1310	chapter 5 6.3	Problem 7	✓	1.21	✓	13.111
1311	chapter 5 6.4	Problem 1	✓	5.518	✓	0.408
1312	chapter 5 6.4	Problem 2	✓	6.402	✓	15.57
1313	chapter 5 6.4	Problem 3	✓	2.301	✓	1.786
1314	chapter 5 6.4	Problem 4	✓	1.288	✓	9.452
1315	chapter 5 6.4	Problem 5	✓	7.149	✓	0.386
1316	chapter 5 6.4	Problem 6	✓	1.823	✓	11.63
1317	chapter 5 6.4	Problem 7	✓	1.218	✓	17.109
1318	chapter 5 6.5	Problem 1	✓	1.143	✓	19.672
1319	chapter 5 6.5	Problem 2	✓	3.027	✓	14.758
1320	chapter 5 6.5	Problem 3	✓	1.456	✓	0.918
1321	chapter 5 6.5	Problem 4	✓	1.893	✓	0.194
1322	chapter 5 6.5	Problem 5	✓	1.882	✓	2.233
1323	chapter 5 6.5	Problem 6	✓	1.729	✓	17.309
1324	chapter 5 6.5	Problem 7	✓	1.887	✓	2.207
1325	chapter 5 7.1	Problem 1	✓	1.11	✓	0.816
1326	chapter 5 7.1	Problem 2	✓	1.478	✓	0.097
1327	chapter 5 7.1	Problem 3	✓	2.364	✓	0.72
1328	chapter 5 7.1	Problem 4	✓	0.48	✓	7.008
1329	chapter 5 7.1	Problem 5	✓	0.119	✓	5.642
1330	chapter 5 7.2	Problem 1	✓	1.366	✓	0.24
1331	chapter 5 7.2	Problem 2	✓	1.493	✓	0.051
1332	chapter 5 7.2	Problem 3	✓	4.798	✓	0.234
1333	chapter 5 7.2	Problem 4	✓	0.463	✓	5.026
1334	chapter 5 7.2	Problem 5	✓	0.131	✓	10.01
1335	chapter 5 7.3	Problem 1	✓	2.42	✓	1.009
1336	chapter 5 7.3	Problem 2	✓	1.782	✓	304.002
1337	chapter 5 7.3	Problem 3	✓	2.437	✓	11.917
1338	chapter 5 7.3	Problem 4	✓	0.431	✓	2.773
1339	chapter 5 7.3	Problem 5	✓	0.162	✓	2.117
1340	chapter 5 7.4	Problem 1	✓	2.588	✓	0.732
1341	chapter 5 7.4	Problem 2	✓	1.769	✓	541.511
1342	chapter 5 7.4	Problem 3	✓	3.26	✓	15.874
1343	chapter 5 7.4	Problem 4	✓	0.477	✓	2.356
1344	chapter 5 7.4	Problem 5	✓	0.166	✓	1.76
1345	chapter 5 8.1	Problem 1	✓	0.039	✓	0.036
1346	chapter 5 8.1	Problem 2	✓	0.085	✓	0.087
1347	chapter 5 8.1	Problem 3	✓	0.1	✓	0.092
1348	chapter 5 8.1	Problem 4	✓	0.08	✓	0.042
1349	chapter 5 8.1	Problem 5	✓	0.153	✓	0.099
1350	chapter 5 8.1	Problem 6	✓	0.059	✓	0.027
1351	chapter 5 8.1	Problem 7	✓	0.229	✓	0.036
1352	chapter 5 8.1	Problem 8	✓	0.213	✓	0.293
1353	chapter 5 8.1	Problem 9	✓	0.616	✓	0.555
1354	chapter 5 8.1	Problem 10	✗	0.487	✓	0.758
1355	chapter 5 8.1	Problem 11	✓	0.268	✓	0.63
1356	chapter 5 8.1	Problem 12	✓	0.335	✓	0.368
1357	chapter 5 8.2	Problem 1	✓	0.044	✓	0.03
1358	chapter 5 8.2	Problem 2	✓	0.179	✓	0.055
1359	chapter 5 8.2	Problem 3	✓	0.044	✓	0.02
1360	chapter 5 8.2	Problem 4	✓	0.104	✓	0.066
1361	chapter 5 8.2	Problem 5	✓	0.071	✓	0.028
1362	chapter 5 8.2	Problem 6	✗	0.087	✓	0.122
1363	chapter 5 8.3	Problem 1	✓	0.043	✓	0.037
1364	chapter 5 8.3	Problem 2	✓	0.101	✓	0.054
1365	chapter 5 8.3	Problem 3	✓	0.062	✓	0.132
1366	chapter 5 8.3	Problem 4	✓	0.217	✓	0.716
1367	chapter 5 8.3	Problem 5	✗ (Timed out)	600.	✓	0.812
1368	chapter 5 8.3	Problem 6	✗	24.019	✗	1.987
1369	chapter 6 2.1	Problem 1	✓	0.009	✓	0.015	Yes
1370	chapter 6 2.1	Problem 2	✓	0.01	✓	0.038	Yes
1371	chapter 6 2.1	Problem 3	✓	0.054	✓	0.077	Yes
1372	chapter 6 2.1	Problem 4	✓	0.123	✓	0.44	Yes
1373	chapter 6 2.1	Problem 5	✓	0.033	✓	0.038
1374	chapter 6 2.1	Problem 6	✓	0.123	✓	0.081
1375	chapter 6 2.1	Problem 7	✓	0.077	✓	0.126
1376	chapter 6 2.1	Problem 8	✗	0.031	✓	0.024
1377	chapter 6 2.1	Problem 9	✗	0.025	✓	0.945
1378	chapter 6 2.1	Problem 10	✓	0.192	✓	0.331
1379	chapter 6 2.1	Problem 11	✗	6.979	✗	9.029
1380	chapter 6 2.1	Problem 12	✗	3.292	✗	0.211
1381	chapter 6 2.1	Problem 13	✓	0.041	✓	0.037
1382	chapter 6 2.1	Problem 14	✗ (Timed out)	600.	✗	1.641
1383	chapter 6 2.1	Problem 15	✗ (Timed out)	600.	✓	10.456
1384	chapter 6 2.1	Problem 16	✗ (Timed out)	600.	✓	7.488
1385	chapter 6 2.1	Problem 17	✗ (Timed out)	600.	✗	5.398
1386	chapter 6 2.1	Problem 18	✗ (Timed out)	600.	✗	4.928
1387	chapter 6 2.1	Problem 19	✗	2.034	✗	0.493
1388	chapter 6 2.1	Problem 20	✗	232.551	✗	0.615
1389	chapter 6 2.1	Problem 21	✗	0.093	✗	0.645
1390	chapter 6 2.2	Problem 1	✓	0.3	✓	0.257
1391	chapter 6 2.2	Problem 2	✓	0.193	✓	0.124
1392	chapter 6 2.2	Problem 3	✗ (Timed out)	600.	✓	1.585
1393	chapter 6 2.2	Problem 4	✓	0.257	✓	0.26
1394	chapter 6 2.2	Problem 5	✓	0.043	✓	0.34
1395	chapter 6 2.2	Problem 6	✓	0.04	✓	0.025
1396	chapter 6 2.2	Problem 7	✓	0.028	✓	0.037
1397	chapter 6 2.2	Problem 8	✓	0.039	✓	0.02
1398	chapter 6 2.2	Problem 9	✓	0.225	✓	0.069
1399	chapter 6 2.2	Problem 10	✓	0.036	✓	0.019
1400	chapter 6 2.2	Problem 11	✓	0.156	✓	0.35
1401	chapter 6 2.2	Problem 12	✓	0.012	✓	0.481
1402	chapter 6 2.2	Problem 13	✓	0.034	✓	0.046
1403	chapter 6 2.2	Problem 14	✓	0.136	✓	0.057
1404	chapter 6 2.2	Problem 15	✓	0.044	✓	0.034
1405	chapter 6 2.2	Problem 16	✓	0.036	✓	0.342
1406	chapter 6 2.2	Problem 17	✓	0.041	✓	0.289
1407	chapter 6 2.2	Problem 18	✓	0.041	✓	0.046
1408	chapter 6 2.2	Problem 19	✓	0.062	✓	0.439
1409	chapter 6 2.2	Problem 20	✓	0.042	✓	0.042
1410	chapter 6 2.2	Problem 21	✓	0.047	✓	0.061
1411	chapter 6 2.2	Problem 22	✓	0.047	✗	1.808
1412	chapter 6 2.2	Problem 23	✗	9.231	✓	3.729
1413	chapter 6 2.2	Problem 24	✓	0.083	✓	1.857
1414	chapter 6 2.2	Problem 25	✓	0.594	✓	1.786
1415	chapter 6 2.2	Problem 26	✗ (Timed out)	600.	✗	0.354
1416	chapter 6 2.2	Problem 27	✗	0.769	✓	3.745
1417	chapter 6 2.2	Problem 28	✓	1.628	✓	0.582
1418	chapter 6 2.2	Problem 29	✗	0.423	✗	1.571
1419	chapter 6 2.3	Problem 1	✗ (Timed out)	600.	✗	0.366
1420	chapter 6 2.3	Problem 2	✓	0.082	✓	0.092
1421	chapter 6 2.3	Problem 3	✓	0.03	✓	0.45
1422	chapter 6 2.3	Problem 4	✗	0.024	✓	1.359
1423	chapter 6 2.3	Problem 5	✗	56.178	✗	0.351
1424	chapter 6 2.3	Problem 6	✗	0.548	✓	3.068
1425	chapter 6 2.3	Problem 7	✗ (Timed out)	600.	✓	2.907
1426	chapter 6 2.3	Problem 8	✓	0.258	✗	0.454
1427	chapter 6 2.3	Problem 9	✗	0.025	✓	1.342
1428	chapter 6 2.3	Problem 10	✓	0.04	✓	0.029
1429	chapter 6 2.3	Problem 11	✓	0.319	✓	0.752
1430	chapter 6 2.3	Problem 12	✗	0.051	✗	2.088
1431	chapter 6 2.3	Problem 13	✗	0.522	✗ (Timed out)	600.
1432	chapter 6 2.4	Problem 1	✓	0.559	✓	6.854
1433	chapter 6 2.4	Problem 2	✓	1.183	✓	1.
1434	chapter 6 2.4	Problem 3	✓	0.231	✓	0.517
1435	chapter 6 2.4	Problem 4	✓	0.755	✓	2.022
1436	chapter 6 2.4	Problem 5	✓	0.729	✓	3.969
1437	chapter 6 2.4	Problem 6	✓	0.408	✓	0.462
1438	chapter 6 2.4	Problem 7	✗	0.583	✓	1.623
1439	chapter 6 2.4	Problem 8	✗	0.031	✓	2.003
1440	chapter 6 3.1	Problem 1	✓	0.192	✓	0.067
1441	chapter 6 3.1	Problem 2	✓	0.212	✓	0.209
1442	chapter 6 3.1	Problem 3	✓	0.258	✓	0.284
1443	chapter 6 3.1	Problem 4	✗	0.971	✓	1.99
1444	chapter 6 3.1	Problem 5	✓	0.492	✓	0.157
1445	chapter 6 3.1	Problem 6	✓	0.45	✓	4.949
1446	chapter 6 3.1	Problem 7	✓	1.037	✓	4.067
1447	chapter 6 3.1	Problem 8	✓	1.052	✓	2.553
1448	chapter 6 3.2	Problem 1	✗	0.61	✓	2.436
1449	chapter 6 3.2	Problem 2	✗	0.399	✓	0.323
1450	chapter 6 3.2	Problem 3	✓	1.88	✓	0.984
1451	chapter 6 3.2	Problem 4	✓	1.624	✓	0.49
1452	chapter 6 3.2	Problem 5	✗	38.384	✗	29.034
1453	chapter 6 3.2	Problem 6	✗	37.789	✗	153.684
1454	chapter 6 3.2	Problem 7	✗	13.661	✗	126.215
1455	chapter 6 3.2	Problem 8	✗	23.146	✗	427.309
1456	chapter 6 3.2	Problem 9	✗	8.759	✓	1.515
1457	chapter 6 3.2	Problem 10	✗	2.909	✓	1.628
1458	chapter 6 3.2	Problem 11	✗	2.154	✓	0.493
1459	chapter 6 3.2	Problem 12	✗	28.853	✗ (Timed out)	600.
1460	chapter 6 3.2	Problem 13	✓	1.63	✓	0.961
1461	chapter 6 3.2	Problem 14	✗	1.396	✓	1.521
1462	chapter 6 3.2	Problem 15	✓	1.847	✓	3.443
1463	chapter 6 3.2	Problem 16	✗	3.102	✓	19.467
1464	chapter 6 3.2	Problem 17	✗	31.866	✗	7.095
1465	chapter 6 3.2	Problem 18	✗	21.55	✗	26.425
1466	chapter 6 4.1	Problem 1	✓	0.032	✓	0.044
1467	chapter 6 4.1	Problem 2	✓	0.192	✓	0.526
1468	chapter 6 4.1	Problem 3	✓	0.252	✓	0.511
1469	chapter 6 4.1	Problem 4	✓	0.461	✓	0.349
1470	chapter 6 4.1	Problem 5	✗	11.171	✓	1.302
1471	chapter 6 4.1	Problem 6	✗ (Timed out)	600.	✓	0.174
1472	chapter 6 4.2	Problem 1	✓	0.032	✓	0.034
1473	chapter 6 4.2	Problem 2	✓	0.048	✓	0.036
1474	chapter 6 4.2	Problem 3	✓	0.188	✓	0.15
1475	chapter 6 4.2	Problem 4	✓	0.248	✓	0.208
1476	chapter 6 4.2	Problem 5	✓	0.491	✓	0.305
1477	chapter 6 4.2	Problem 6	✗	176.322	✓	8.417
1478	chapter 6 4.3	Problem 1	✓	0.269	✓	1.783
1479	chapter 6 4.3	Problem 2	✓	0.085	✓	0.049
1480	chapter 6 4.3	Problem 3	✓	0.743	✓	2.253
1481	chapter 6 4.3	Problem 4	✓	0.91	✓	1.339
1482	chapter 6 4.3	Problem 5	✗	2.001	✓	2.208
1483	chapter 6 4.3	Problem 6	✗	0.65	✓	3.171
1484	chapter 6 4.4	Problem 1	✓	0.258	✓	0.316
1485	chapter 6 4.4	Problem 2	✓	0.086	✓	0.022
1486	chapter 6 4.4	Problem 3	✓	0.782	✓	0.315
1487	chapter 6 4.4	Problem 4	✓	0.837	✓	0.086
1488	chapter 6 4.4	Problem 5	✗	4.917	✓	2.221
1489	chapter 6 4.4	Problem 6	✗	0.649	✓	2.903
1490	chapter 6 4.5	Problem 1	✓	0.502	✓	0.584
1491	chapter 6 4.5	Problem 2	✓	0.294	✓	0.194
1492	chapter 6 4.5	Problem 3	✗ (Timed out)	600.	✓	0.125
1493	chapter 6 4.5	Problem 4	✗ (Timed out)	600.	✓	6.219
1494	chapter 6 4.5	Problem 5	✗	0.703	✓	4.931
1495	chapter 6 4.5	Problem 6	✗	0.668	✓	1.554
1496	chapter 6 5.1	Problem 1	✓	0.24	✓	0.793
1497	chapter 6 5.1	Problem 2	✓	0.01	✓	0.025
1498	chapter 6 5.1	Problem 3	✓	0.283	✓	2.311
1499	chapter 6 5.1	Problem 4	✓	0.216	✓	0.984
1500	chapter 6 5.2	Problem 1	✓	0.041	✓	0.049
1501	chapter 6 5.2	Problem 2	✓	0.215	✓	0.414
1502	chapter 6 5.2	Problem 3	✓	0.263	✓	5.549
1503	chapter 6 5.2	Problem 4	✓	0.309	✓	5.482
1504	chapter 6 5.2	Problem 5	✓	0.121	✓	0.161
1505	chapter 6 5.2	Problem 6	✓	0.595	✓	2.185
1506	chapter 6 6.1	Problem 1	✓	0.182	✓	0.712
1507	chapter 6 6.1	Problem 2	✓	0.2	✓	0.775
1508	chapter 6 6.1	Problem 3	✓	0.159	✓	0.117
1509	chapter 6 6.1	Problem 4	✓	0.46	✓	1.359
1510	chapter 6 6.1	Problem 5	✓	3.111	✓	6.001
1511	chapter 6 6.2	Problem 1	✓	0.464	✓	3.724
1512	chapter 6 6.2	Problem 2	✓	0.443	✓	0.962
1513	chapter 6 6.2	Problem 3	✗ (Timed out)	600.	✓	0.18
1514	chapter 6 6.2	Problem 4	✗ (Timed out)	600.	✓	0.003
1515	chapter 6 6.2	Problem 5	✓	3.096	✓	3.209
1516	chapter 6 6.3	Problem 1	✓	0.209	✓	1.391	Yes
1517	chapter 6 6.3	Problem 2	✓	0.671	✓	1.43	Yes
1518	chapter 6 6.3	Problem 3	✓	0.96	✓	0.929
1519	chapter 6 6.3	Problem 4	✓	0.214	✓	0.003
1520	chapter 6 6.3	Problem 5	✓	1.441	✓	3.709
1521	chapter 6 6.4	Problem 1	✓	0.214	✓	2.089
1522	chapter 6 6.4	Problem 2	✓	0.664	✓	7.017
1523	chapter 6 6.4	Problem 3	✓	0.836	✓	1.75
1524	chapter 6 6.4	Problem 4	✓	0.257	✓	0.003
1525	chapter 6 6.4	Problem 5	✗	1.799	✓	3.181
1526	chapter 6 6.5	Problem 1	✓	162.609	✓	15.113
1527	chapter 6 6.5	Problem 2	✓	0.096	✓	0.766
1528	chapter 6 6.5	Problem 3	✓	0.528	✓	1.67
1529	chapter 6 6.5	Problem 4	✗	67.888	✓	0.658
1530	chapter 6 6.5	Problem 5	✓	0.494	✓	1.305
1531	chapter 6 6.5	Problem 6	✗	20.608	✓	2.535
1532	chapter 6 7.1	Problem 1	✓	0.325	✓	0.469
1533	chapter 6 7.1	Problem 2	✓	0.392	✓	0.525
1534	chapter 6 7.1	Problem 3	✓	0.087	✓	0.14
1535	chapter 6 7.1	Problem 4	✓	0.252	✗ (Timed out)	600.
1536	chapter 6 7.1	Problem 5	✓	0.29	✓	1.938
1537	chapter 6 7.2	Problem 1	✓	0.287	✓	0.484
1538	chapter 6 7.2	Problem 2	✓	0.403	✓	0.539
1539	chapter 6 7.2	Problem 3	✓	0.073	✓	0.12
1540	chapter 6 7.2	Problem 4	✓	0.242	✓	19.589
1541	chapter 6 7.2	Problem 5	✓	0.274	✓	0.284
1542	chapter 6 7.3	Problem 1	✓	0.789	✓	0.967
1543	chapter 6 7.3	Problem 2	✓	0.689	✓	180.253
1544	chapter 6 7.3	Problem 3	✓	0.398	✓	0.49
1545	chapter 6 7.3	Problem 4	✓	0.215	✓	1.486
1546	chapter 6 7.3	Problem 5	✓	0.586	✓	0.08
1547	chapter 6 7.4	Problem 1	✓	0.939	✓	0.859
1548	chapter 6 7.4	Problem 2	✓	0.723	✓	554.306
1549	chapter 6 7.4	Problem 3	✓	0.427	✓	0.388
1550	chapter 6 7.4	Problem 4	✓	0.199	✓	1.967
1551	chapter 6 7.4	Problem 5	✓	0.558	✓	0.06
1552	chapter 6 8.1	Problem 1	✓	0.01	✓	0.016
1553	chapter 6 8.1	Problem 2	✓	0.193	✓	0.1
1554	chapter 6 8.1	Problem 3	✓	0.099	✓	0.029
1555	chapter 6 8.1	Problem 4	✓	0.306	✓	0.641
1556	chapter 6 8.1	Problem 5	✓	0.189	✓	0.064
1557	chapter 6 8.1	Problem 6	✗	0.006	✗	1.828
1558	chapter 6 8.1	Problem 7	✓	4.141	✓	4.393
1559	chapter 6 8.1	Problem 8	✓	0.845	✓	0.743
1560	chapter 6 8.1	Problem 9	✗	0.567	✓	1.038
1561	chapter 6 8.1	Problem 10	✗	0.734	✓	1.722
1562	chapter 6 8.2	Problem 1	✓	0.045	✓	0.049
1563	chapter 6 8.2	Problem 2	✓	0.476	✓	1.602
1564	chapter 6 8.2	Problem 3	✓	3.228	✓	0.05
1565	chapter 6 8.2	Problem 4	✗	0.239	✓	0.491
1566	chapter 6 8.2	Problem 5	✓	0.157	✓	0.039
1567	chapter 6 8.2	Problem 6	✓	0.191	✓	0.036
1568	chapter 6 8.2	Problem 7	✓	0.151	✓	0.308
1569	chapter 6 8.3	Problem 1	✓	0.021	✓	0.066
1570	chapter 6 8.3	Problem 2	✓	0.028	✓	0.04
1571	chapter 6 8.3	Problem 3	✓	0.039	✓	0.027
1572	chapter 6 8.3	Problem 4	✓	0.069	✓	0.036
1573	chapter 6 8.3	Problem 5	✓	0.072	✓	0.028
1574	chapter 6 8.3	Problem 6	✓	0.47	✓	4.748
1575	chapter 6 8.3	Problem 7	✓	2.493	✓	3.761
1576	chapter 6 8.3	Problem 8	✗	133.566	✗ (Timed out)	600.
1577	chapter 6 8.3	Problem 9	✗	0.351	✓	6.432
1578	chapter 6 8.3	Problem 10	✗	0.27	✓	6.055
1579	chapter 6 8.3	Problem 11	✗	45.363	✗	2.848
1580	chapter 6 8.3	Problem 12	✗	1.548	✗	1.882
1581	chapter 7 2.1	Problem 1	✓	0.041	✓	0.071
1582	chapter 7 2.1	Problem 2	✓	0.154	✓	0.66
1583	chapter 7 2.1	Problem 3	✓	0.038	✓	0.075
1584	chapter 7 2.1	Problem 4	✓	0.583	✓	0.143
1585	chapter 7 2.1	Problem 5	✓	0.116	✓	0.184
1586	chapter 7 2.1	Problem 6	✓	0.125	✓	0.048	Yes
1587	chapter 7 2.1	Problem 7	✓	0.173	✓	0.091	Yes
1588	chapter 7 2.1	Problem 8	✗	0.023	✓	1.119
1589	chapter 7 2.1	Problem 9	✓	0.861	✓	0.277
1590	chapter 7 2.2	Problem 1	✓	0.093	✓	0.025
1591	chapter 7 2.2	Problem 2	✓	0.033	✓	0.023
1592	chapter 7 2.2	Problem 3	✓	0.136	✓	0.036
1593	chapter 7 2.2	Problem 4	✓	0.078	✓	0.049
1594	chapter 7 2.2	Problem 5	✓	0.2	✓	0.076
1595	chapter 7 2.2	Problem 6	✓	0.22	✓	0.043
1596	chapter 7 2.2	Problem 7	✓	0.147	✓	0.046
1597	chapter 7 2.2	Problem 8	✓	0.148	✓	0.024
1598	chapter 7 2.2	Problem 9	✓	0.175	✓	0.037
1599	chapter 7 2.3	Problem 1	✓	0.024	✓	0.037
1600	chapter 7 2.3	Problem 2	✓	0.036	✓	0.039
1601	chapter 7 2.3	Problem 3	✓	0.06	✓	0.038
1602	chapter 7 2.3	Problem 4	✓	0.114	✓	0.241
1603	chapter 7 2.3	Problem 5	✓	0.187	✓	0.05
1604	chapter 7 2.4	Problem 1	✓	0.325	✓	0.053
1605	chapter 7 2.4	Problem 2	✓	0.196	✓	0.045
1606	chapter 7 2.4	Problem 3	✓	0.101	✓	0.246
1607	chapter 7 2.4	Problem 4	✓	0.161	✓	0.911
1608	chapter 7 2.4	Problem 5	✓	0.091	✓	0.296
1609	chapter 7 2.4	Problem 6	✗	0.026	✓	0.497
1610	chapter 7 2.4	Problem 7	✗	1.871	✓	0.393
1611	chapter 7 2.4	Problem 8	✓	3.208	✓	1.815
1612	chapter 7 2.4	Problem 9	✓	1.135	✓	4.296
1613	chapter 7 2.4	Problem 10	✓	0.766	✓	6.163
1614	chapter 7 2.4	Problem 11	✓	10.748	✓	2.67
1615	chapter 7 2.4	Problem 12	✓	0.05	✓	0.072
1616	chapter 7 2.4	Problem 13	✓	0.409	✓	0.856
1617	chapter 7 3.1	Problem 1	✓	0.044	✓	0.069
1618	chapter 7 3.1	Problem 2	✓	0.477	✓	1.374
1619	chapter 7 3.1	Problem 3	✓	2.421	✓	1.253
1620	chapter 7 3.1	Problem 4	✗	0.906	✓	1.293
1621	chapter 7 3.1	Problem 5	✓	0.56	✓	0.675
1622	chapter 7 3.1	Problem 6	✓	0.363	✓	1.078
1623	chapter 7 3.1	Problem 7	✓	1.107	✓	4.388
1624	chapter 7 3.1	Problem 8	✓	1.064	✓	2.717
1625	chapter 7 3.2	Problem 1	✓	0.988	✓	0.582
1626	chapter 7 3.2	Problem 2	✓	0.86	✓	0.798
1627	chapter 7 3.2	Problem 3	✓	0.365	✓	0.081
1628	chapter 7 3.2	Problem 4	✓	0.373	✓	0.433
1629	chapter 7 3.2	Problem 5	✓	0.382	✓	3.465
1630	chapter 7 3.2	Problem 6	✗	37.92	✗	26.509
1631	chapter 7 3.2	Problem 7	✗	14.713	✗	113.487
1632	chapter 7 3.2	Problem 8	✗	23.568	✓	44.413
1633	chapter 7 3.2	Problem 9	✓	1.885	✓	0.851
1634	chapter 7 3.2	Problem 10	✗	15.035	✗	41.168
1635	chapter 7 3.2	Problem 11	✓	2.318	✓	3.116
1636	chapter 7 4.1	Problem 1	✓	0.553	✓	0.321
1637	chapter 7 4.1	Problem 2	✓	30.778	✓	2.278
1638	chapter 7 4.1	Problem 3	✓	1.61	✓	3.933
1639	chapter 7 4.1	Problem 4	✓	19.909	✓	3.462
1640	chapter 7 4.1	Problem 5	✓	30.965	✗ (Timed out)	600.
1641	chapter 7 4.2	Problem 1	✓	0.557	✓	0.356
1642	chapter 7 4.2	Problem 2	✓	26.371	✓	2.117
1643	chapter 7 4.2	Problem 3	✓	1.649	✓	0.837
1644	chapter 7 4.2	Problem 4	✓	14.672	✓	2.707
1645	chapter 7 4.2	Problem 5	✓	0.32	✓	0.612
1646	chapter 7 4.2	Problem 6	✓	27.166	✗ (Timed out)	600.
1647	chapter 7 4.3	Problem 1	✓	0.429	✓	0.64
1648	chapter 7 4.3	Problem 2	✓	142.248	✓	19.588
1649	chapter 7 4.3	Problem 3	✓	0.974	✓	1.456
1650	chapter 7 4.3	Problem 4	✗	0.846	✓	6.44
1651	chapter 7 4.3	Problem 5	✓	1.292	✓	1.637
1652	chapter 7 4.3	Problem 6	✗	2.011	✓	2.428
1653	chapter 7 4.3	Problem 7	✓	43.572	✓	9.494
1654	chapter 7 4.4	Problem 1	✓	0.448	✓	0.619
1655	chapter 7 4.4	Problem 2	✓	140.61	✓	20.131
1656	chapter 7 4.4	Problem 3	✓	0.984	✓	1.584
1657	chapter 7 4.4	Problem 4	✗	0.856	✓	4.569
1658	chapter 7 4.4	Problem 5	✓	1.969	✓	1.72
1659	chapter 7 4.4	Problem 6	✓	44.356	✓	6.568
1660	chapter 7 4.5	Problem 1	✓	25.839	✓	12.969
1661	chapter 7 4.5	Problem 2	✓	1.212	✓	0.705
1662	chapter 7 4.5	Problem 3	✓	190.089	✓	2.147
1663	chapter 7 4.5	Problem 4	✓	0.708	✓	1.007
1664	chapter 7 4.5	Problem 5	✓	0.567	✓	1.168
1665	chapter 7 5.1	Problem 1	✓	0.048	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.035
1666	chapter 7 5.1	Problem 2	✗	0.329	✓	0.863
1667	chapter 7 5.1	Problem 3	✓	0.084	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.098
1668	chapter 7 5.1	Problem 4	✗	0.058	✓	1.542
1669	chapter 7 5.1	Problem 5	✗	2.112	✓ Contains RootOf and unresolved integrals \(\ln ^n(x)\)	1.558
1670	chapter 7 5.2	Problem 1	✓	0.772	✓ Answer has unresolved integrals	11.423
1671	chapter 7 5.2	Problem 2	✓	3.871	✓ Answer has unresolved integrals	4.288
1672	chapter 7 5.2	Problem 3	✓ Generated internal errors from solve : inconsistent or redundant transcendental equation	0.099	✓ Answer has unresolved integrals and RootOf	1.314
1673	chapter 7 5.2	Problem 4	✗	0.506	✓	1.146
1674	chapter 7 5.2	Problem 5	✓	2.744	✓	6.178
1675	chapter 7 6.1	Problem 1	✓	0.615	✓	1.349
1676	chapter 7 6.1	Problem 2	✓	0.368	✓	1.107
1677	chapter 7 6.1	Problem 3	✓	1.222	✓	2.978
1678	chapter 7 6.1	Problem 4	✓	134.918	✓	12.812
1679	chapter 7 6.1	Problem 5	✓	3.707	✓	3.915
1680	chapter 7 6.1	Problem 6	✗	2.262	✓	24.67
1681	chapter 7 6.2	Problem 1	✓	0.572	✓	0.966
1682	chapter 7 6.2	Problem 2	✓	1.449	✓	1.384
1683	chapter 7 6.2	Problem 3	✓	1.267	✓	1.72
1684	chapter 7 6.2	Problem 4	✓	118.275	✓	13.074
1685	chapter 7 6.2	Problem 5	✓	2.903	✓	3.329
1686	chapter 7 6.2	Problem 6	✗	2.192	✓	13.135
1687	chapter 7 6.3	Problem 1	✓	0.439	✓	0.691
1688	chapter 7 6.3	Problem 2	✓	0.478	✓	2.203
1689	chapter 7 6.3	Problem 3	✓	0.865	✓	2.193
1690	chapter 7 6.3	Problem 4	✓	39.998	✓	14.526
1691	chapter 7 6.3	Problem 5	✗	1.544	✓	8.47
1692	chapter 7 6.4	Problem 1	✓	0.438	✓	0.773
1693	chapter 7 6.4	Problem 2	✓	0.706	✓	3.281
1694	chapter 7 6.4	Problem 3	✓	0.859	✓	1.982
1695	chapter 7 6.4	Problem 4	✓	44.145	✓	14.251
1696	chapter 7 6.4	Problem 5	✓	3.04	✓	12.751
1697	chapter 7 6.2	Problem 6	✗	1.563	✓	15.151
1698	chapter 7 6.5	Problem 1	✓	1.505	✓	0.139
1699	chapter 7 6.5	Problem 2	✗	68.895	✓	7.802
1700	chapter 7 6.5	Problem 3	✗	33.256	✓	11.227
1701	chapter 7 6.5	Problem 4	✗ (Timed out)	600.	✓	11.781
1702	chapter 7 6.5	Problem 5	✗	12.338	✓	4.356
1703	chapter 7 7.1	Problem 1	✓	0.102	✓	0.21
1704	chapter 7 7.1	Problem 2	✓	0.754	✓	0.889
1705	chapter 7 7.1	Problem 3	✗	1.071	✓	0.898
1706	chapter 7 7.1	Problem 4	✗	0.818	✓	0.927
1707	chapter 7 7.1	Problem 5	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	2.22	✗ (Timed out)	600.
1708	chapter 7 7.1	Problem 6	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	0.714	✗ (Timed out)	600.
1709	chapter 7 7.2	Problem 1	✓	0.097	✓ Answer contains unresolved integrals	0.184
1710	chapter 7 7.2	Problem 2	✓	0.667	✓	0.043
1711	chapter 7 7.2	Problem 3	✗	1.012	✓	0.39
1712	chapter 7 7.2	Problem 4	✓	2.572	✓	20.171
1713	chapter 7 7.2	Problem 5	✗	0.944	✓	0.646
1714	chapter 7 7.3	Problem 1	✓	0.617	✓	0.376
1715	chapter 7 7.3	Problem 2	✓	0.21	✓	0.568
1716	chapter 7 7.3	Problem 3	✗	0.804	✓	0.505
1717	chapter 7 7.3	Problem 4	✗	0.395	✓	184.541
1718	chapter 7 7.3	Problem 5	✓	0.314	✓	1.917
1719	chapter 7 7.4	Problem 1	✓	0.699	✓	0.692
1720	chapter 7 7.4	Problem 2	✓	0.299	✓	0.169
1721	chapter 7 7.4	Problem 3	✗	0.91	✓	0.532
1722	chapter 7 7.4	Problem 4	✗	0.656	✓	0.987
1723	chapter 7 7.4	Problem 5	✓	0.241	✓	0.451
1724	chapter 7 8.1	Problem 1	✓	0.022	✓	0.205
1725	chapter 7 8.1	Problem 2	✓	0.196	✓	0.115
1726	chapter 7 8.1	Problem 3	✓	0.103	✓	0.024
1727	chapter 7 8.1	Problem 4	✓	0.331	✓	2.214
1728	chapter 7 8.1	Problem 5	✗	0.278	✗	2.091
1729	chapter 7 8.1	Problem 6	✗	24.744	✓ Gives Warning: Incomplete separation	41.767
1730	chapter 7 8.1	Problem 7	✓	0.78	✓	0.821
1731	chapter 7 8.1	Problem 8	✗	0.614	✓	0.916
1732	chapter 7 8.1	Problem 9	✗	0.764	✓	1.458
1733	chapter 7 8.2	Problem 1	✗	0.174	✓	0.083
1734	chapter 7 8.2	Problem 2	✗	0.233	✓	4.395
1735	chapter 7 8.2	Problem 3	✗	0.207	✓	0.164
1736	chapter 7 8.2	Problem 4	✓	0.465	✓	0.797
1737	chapter 7 8.2	Problem 5	✓	1.238	✓	1.914
1738	chapter 7 8.2	Problem 6	✗	38.56	✗	98.439
1739	chapter 7 8.2	Problem 7	✗	0.346	✓	2.52
1740	chapter 7 8.2	Problem 8	✗	0.25	✓	4.668
1741	chapter 7 8.3	Problem 1	✓ Kernel message inconsistent or redundant transcendental equation	0.05	✓	0.11
1742	chapter 7 8.3	Problem 2	✗	0.047	✓	0.115
1743	chapter 7 8.3	Problem 3	✓	0.054	✓	0.068
1744	chapter 7 8.3	Problem 4	✗	0.122	✓	0.088
1745	chapter 7 8.3	Problem 5	✓	0.656	✓	3.107
1746	chapter 7 8.3	Problem 6	✗ (Timed out)	600.	✓	5.109
1747	chapter 7 8.3	Problem 7	✗	3.425	✓	7.692
1748	chapter 7 8.3	Problem 8	✗	0.243	✓	21.24
1749	chapter 7 8.3	Problem 9	✗	0.233	✓	16.869
1750	chapter 7 8.3	Problem 10	✗	46.048	✗	8.941
1751	chapter 7 8.3	Problem 11	✗	0.121	✗	2.766
1752	chapter 8 2.1	Problem 1	✓	0.081	✓	0.24
1753	chapter 8 2.1	Problem 2	✓	0.133	✓	0.985
1754	chapter 8 2.1	Problem 3	✓	0.151	✓	0.192
1755	chapter 8 2.1	Problem 4	✓	1.468	✓	0.418
1756	chapter 8 2.1	Problem 5	✓	0.116	✓	0.173
1757	chapter 8 2.1	Problem 6	✓	0.117	✓	0.228
1758	chapter 8 2.1	Problem 7	✓	0.153	✓	0.22
1759	chapter 8 2.1	Problem 8	✗	0.024	✓	1.782
1760	chapter 8 2.1	Problem 9	✓	0.883	✓	0.315
1761	chapter 8 2.2	Problem 1	✓	0.093	✓	0.072
1762	chapter 8 2.2	Problem 2	✓	0.154	✓	0.035
1763	chapter 8 2.2	Problem 3	✓	0.126	✓	0.03
1764	chapter 8 2.2	Problem 4	✓	2.553	✓	0.654
1765	chapter 8 2.2	Problem 5	✓	0.234	✓	0.283
1766	chapter 8 2.2	Problem 6	✓	0.196	✓	0.366
1767	chapter 8 2.2	Problem 7	✓	0.157	✓	0.133
1768	chapter 8 2.2	Problem 8	✓	0.15	✓	0.052
1769	chapter 8 2.2	Problem 9	✓	0.23	✓	0.096
1770	chapter 8 2.3	Problem 1	✓	0.022	✓	0.111
1771	chapter 8 2.3	Problem 2	✓	0.055	✓	0.13
1772	chapter 8 2.3	Problem 3	✓	0.066	✓	0.062
1773	chapter 8 2.3	Problem 4	✓	0.069	✓	0.788
1774	chapter 8 2.3	Problem 5	✓	0.231	✓	0.11
1775	chapter 8 2.4	Problem 1	✓	0.491	✓	0.089
1776	chapter 8 2.4	Problem 2	✓	0.278	✓	0.072
1777	chapter 8 2.4	Problem 3	✓	0.1	✓	0.411
1778	chapter 8 2.4	Problem 4	✓	0.153	✓	0.928
1779	chapter 8 2.4	Problem 5	✓	0.098	✓	0.434
1780	chapter 8 2.4	Problem 6	✗	0.027	✓	0.246
1781	chapter 8 2.4	Problem 7	✗	1.922	✓	0.542
1782	chapter 8 2.4	Problem 8	✓	3.086	✓	3.025
1783	chapter 8 2.4	Problem 9	✓	1.368	✓	5.376
1784	chapter 8 2.4	Problem 10	✓	0.817	✓	2.639
1785	chapter 8 2.4	Problem 11	✗	22.571	✓	10.807
1786	chapter 8 2.4	Problem 12	✓	0.048	✓	0.104
1787	chapter 8 2.4	Problem 13	✓	0.394	✓	1.158
1788	chapter 8 3.1	Problem 1	✓	0.04	✓	0.107
1789	chapter 8 3.1	Problem 2	✓	0.541	✓	0.131
1790	chapter 8 3.1	Problem 3	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	2.348	✓	0.598
1791	chapter 8 3.1	Problem 4	✗	2.11	✓	2.632
1792	chapter 8 3.1	Problem 5	✓	0.571	✓	0.909
1793	chapter 8 3.1	Problem 6	✗	2.071	✓	5.061
1794	chapter 8 3.1	Problem 7	✓	1.061	✓	6.09
1795	chapter 8 3.1	Problem 8	✓	1.062	✓	3.043
1796	chapter 8 3.2	Problem 1	✓	1.786	✓	1.841
1797	chapter 8 3.2	Problem 2	✓	1.572	✓	0.143
1798	chapter 8 3.2	Problem 3	✓	0.993	✓	0.527
1799	chapter 8 3.2	Problem 4	✓	0.395	✓	0.323
1800	chapter 8 3.2	Problem 5	✓	0.285	✓	3.192
1801	chapter 8 3.2	Problem 6	✗	39.07	✓	197.072
1802	chapter 8 3.2	Problem 7	✗	15.044	✗ (Timed out)	600.
1803	chapter 8 3.2	Problem 8	✗	23.588	✗ (Timed out)	600.
1804	chapter 8 3.2	Problem 9	✓	2.091	✓	0.758
1805	chapter 8 3.2	Problem 10	✗	1.468	✓	1.946
1806	chapter 8 3.2	Problem 11	✓	2.4	✓	7.545
1807	chapter 8 4.1	Problem 1	✓	0.987	✓	0.438
1808	chapter 8 4.1	Problem 2	✓	28.056	✓	0.578
1809	chapter 8 4.1	Problem 3	✓	11.887	✓	0.378
1810	chapter 8 4.1	Problem 4	✓	18.777	✓	0.837
1811	chapter 8 4.1	Problem 5	✗	5.134	✓	2.452
1812	chapter 8 4.2	Problem 1	✓	1.01	✓	0.286
1813	chapter 8 4.2	Problem 2	✓	23.355	✓	0.364
1814	chapter 8 4.2	Problem 3	✓	4.194	✓	0.003
1815	chapter 8 4.2	Problem 4	✓	14.214	✓	0.217
1816	chapter 8 4.2	Problem 5	✗	5.197	✓	2.203
1817	chapter 8 4.3	Problem 1	✓	0.245	✓	0.58
1818	chapter 8 4.3	Problem 2	✓	109.367	✓	3.671
1819	chapter 8 4.3	Problem 3	✓	0.766	✓	0.026
1820	chapter 8 4.3	Problem 4	✗	0.906	✓	8.303
1821	chapter 8 4.3	Problem 5	✓	1.328	✓	2.086
1822	chapter 8 4.3	Problem 6	✗	5.486	✓	6.848
1823	chapter 8 4.4	Problem 1	✓	0.249	✓	0.845
1824	chapter 8 4.4	Problem 2	✓	76.565	✓	5.044
1825	chapter 8 4.4	Problem 3	✓	0.758	✓	0.067
1826	chapter 8 4.4	Problem 4	✗	0.876	✓	1.853
1827	chapter 8 4.4	Problem 5	✓	1.701	✓	1.928
1828	chapter 8 4.4	Problem 6	✗	5.167	✓	3.711
1829	chapter 8 4.5	Problem 1	✓	57.799	✓	0.163
1830	chapter 8 4.5	Problem 2	✓	9.787	✓	0.128
1831	chapter 8 4.5	Problem 3	✗	192.154	✓	1.449
1832	chapter 8 4.5	Problem 4	✓	0.758	✓	0.031
1833	chapter 8 4.5	Problem 5	✓	0.563	✓	1.388
1834	chapter 8 5.1	Problem 1	✓	0.033	✓	0.051
1835	chapter 8 5.1	Problem 2	✓	0.09	✓	0.139
1836	chapter 8 5.1	Problem 3	✓	0.091	✓	0.074
1837	chapter 8 5.1	Problem 4	✗	0.534	✓	0.463
1838	chapter 8 5.1	Problem 5	✗	0.056	✓	1.276
1839	chapter 8 5.2	Problem 1	✗	0.345	✓	0.946
1840	chapter 8 5.2	Problem 2	✓	2.475	✓	0.151
1841	chapter 8 5.2	Problem 3	✓	0.556	✗ (Timed out)	600.
1842	chapter 8 5.2	Problem 4	✗	0.516	✓	1.512
1843	chapter 8 5.2	Problem 5	✓	0.807	✓	15.274
1844	chapter 8 6.1	Problem 1	✓	1.002	✓	1.484
1845	chapter 8 6.1	Problem 2	✓	0.622	✓	1.318
1846	chapter 8 6.1	Problem 3	✗	3.538	✓	7.16
1847	chapter 8 6.1	Problem 4	✗	72.066	✓	16.824
1848	chapter 8 6.1	Problem 5	✓	64.915	✓	7.193
1849	chapter 8 6.1	Problem 6	✗	1.362	✓	15.069
1850	chapter 8 6.2	Problem 1	✓	1.564	✓	0.877
1851	chapter 8 6.2	Problem 2	✓	1.397	✓	6.867
1852	chapter 8 6.2	Problem 3	✓	3.209	✓	0.138
1853	chapter 8 6.2	Problem 4	✗	69.57	✓	19.99
1854	chapter 8 6.2	Problem 5	✓	110.348	✓	10.691
1855	chapter 8 6.2	Problem 6	✗	1.36	✓	11.584
1856	chapter 8 6.3	Problem 1	✓	0.274	✓	0.934
1857	chapter 8 6.3	Problem 2	✓	0.487	✓	2.384
1858	chapter 8 6.3	Problem 3	✓	0.673	✓	0.111
1859	chapter 8 6.3	Problem 4	✓	29.217	✓	8.885
1860	chapter 8 6.3	Problem 5	✗	1.249	✓	6.61
1861	chapter 8 6.4	Problem 1	✓	0.086	✓	0.98
1862	chapter 8 6.4	Problem 2	✓	0.82	✓	3.789
1863	chapter 8 6.4	Problem 3	✓	0.668	✓	0.082
1864	chapter 8 6.4	Problem 4	✓	41.154	✓	31.016
1865	chapter 8 6.4	Problem 5	✗	1.221	✓	8.908
1866	chapter 8 6.5	Problem 1	✓	8.927	✓	0.138
1867	chapter 8 6.5	Problem 2	✗	69.505	✓	17.781
1868	chapter 8 6.5	Problem 3	✗	36.425	✓	12.36
1869	chapter 8 6.5	Problem 4	✗	1.874	✓	13.761
1870	chapter 8 6.5	Problem 5	✗	1.565	✓	8.911
1871	chapter 8 7.1	Problem 1	✓	0.188	✓	0.216
1872	chapter 8 7.1	Problem 2	✓	1.084	✓	0.987
1873	chapter 8 7.1	Problem 3	✗	1.024	✓	0.821
1874	chapter 8 7.1	Problem 4	✗	0.784	✓	1.072
1875	chapter 8 7.1	Problem 5	✓	2.043	✗ (Timed out)	600.
1876	chapter 8 7.1	Problem 6	✗	0.91	✓	1.972
1877	chapter 8 7.2	Problem 1	✓	0.049	✓	0.235
1878	chapter 8 7.2	Problem 2	✓	1.1	✓	0.168
1879	chapter 8 7.2	Problem 3	✗	0.901	✓	0.409
1880	chapter 8 7.2	Problem 4	✗	0.728	✓	0.456
1881	chapter 8 7.2	Problem 5	✓	2.365	✓	1.668
1882	chapter 8 7.2	Problem 6	✗	0.897	✓	0.179
1883	chapter 8 7.3	Problem 1	✓	0.303	✓	0.365
1884	chapter 8 7.3	Problem 2	✓	0.627	✓	0.947
1885	chapter 8 7.3	Problem 3	✗	0.773	✓	0.194
1886	chapter 8 7.3	Problem 4	✗	0.573	✓	416.475
1887	chapter 8 7.3	Problem 5	✓	0.284	✓	1.052
1888	chapter 8 7.4	Problem 1	✓	0.339	✓	0.456
1889	chapter 8 7.4	Problem 2	✓	0.587	✓	0.135
1890	chapter 8 7.4	Problem 3	✗	0.819	✓	0.073
1891	chapter 8 7.4	Problem 4	✗	0.596	✓	0.049
1892	chapter 8 7.4	Problem 5	✓	0.286	✓	2.223
1893	chapter 8 8.1	Problem 1	✓	0.019	✓	0.133
1894	chapter 8 8.1	Problem 2	✓	0.191	✓	0.146
1895	chapter 8 8.1	Problem 3	✓	0.1	✓	0.026
1896	chapter 8 8.1	Problem 4	✓	0.298	✓	0.23
1897	chapter 8 8.1	Problem 5	✓	0.178	✓	0.79
1898	chapter 8 8.1	Problem 6	✓	3.506	✓	1.536
1899	chapter 8 8.1	Problem 7	✓	0.762	✓	0.851
1900	chapter 8 8.1	Problem 8	✗	0.533	✓	1.046
1901	chapter 8 8.1	Problem 9	✗	0.711	✓	1.634
1902	chapter 8 8.2	Problem 1	✗	0.151	✓	0.225
1903	chapter 8 8.2	Problem 2	✗	0.22	✓	0.452
1904	chapter 8 8.2	Problem 3	✗	0.191	✓	0.114
1905	chapter 8 8.2	Problem 4	✓	0.165	✓	0.553
1906	chapter 8 8.2	Problem 5	✓	1.139	✗	17.637
1907	chapter 8 8.2	Problem 6	✗	0.305	✓	2.655
1908	chapter 8 8.2	Problem 7	✗	21.021	✗	5.711
1909	chapter 8 8.2	Problem 8	✗	20.227	✗	4.512
1910	chapter 8 8.3	Problem 1	✓	0.036	✓	0.089
1911	chapter 8 8.3	Problem 2	✗	0.041	✓	0.079
1912	chapter 8 8.3	Problem 3	✓	0.054	✓	0.062
1913	chapter 8 8.3	Problem 4	✗	0.107	✓	0.076
1914	chapter 8 8.3	Problem 5	✓	0.619	✓	3.907
1915	chapter 8 8.3	Problem 6	✗ (Timed out)	600.	✓	5.979
1916	chapter 8 8.3	Problem 7	✗	129.84	✗ (Timed out)	600.
1917	chapter 8 8.3	Problem 8	✗	20.238	✗	5.535
1918	chapter 8 8.3	Problem 9	✗	20.233	✗	15.995
1919	chapter 8 8.3	Problem 10	✗	45.026	✓	3.161
1920	chapter 8 8.3	Problem 11	✗	1.466	✗	4.557
1921	chapter 9 2.1	Problem 1	✓	0.351	✓	0.154
1922	chapter 9 2.1	Problem 2	✓	0.413	✓	1.898
1923	chapter 9 2.1	Problem 3	✓	0.25	✓	0.22
1924	chapter 9 2.1	Problem 4	✓	0.111	✓	0.136
1925	chapter 9 2.1	Problem 5	✓	0.21	✓	0.233
1926	chapter 9 2.1	Problem 6	✗ (Timed out)	600.	✗ (Timed out)	600.
1927	chapter 9 2.1	Problem 7	✓	0.167	✓	0.337
1928	chapter 9 2.1	Problem 8	✓	0.123	✓	0.059
1929	chapter 9 2.1	Problem 9	✓	0.272	✓	1.725
1930	chapter 9 2.2	Problem 1	✓	0.3	✓	0.163
1931	chapter 9 2.2	Problem 2	✓	0.083	✓	0.131
1932	chapter 9 2.2	Problem 3	✓	0.257	✓	0.111
1933	chapter 9 2.2	Problem 4	✗ (Timed out)	600.	✓	458.068
1934	chapter 9 2.2	Problem 5	✓	0.053	✓	0.216
1935	chapter 9 2.2	Problem 6	✓	0.05	✓	0.076
1936	chapter 9 2.2	Problem 7	✓	0.317	✓	0.289
1937	chapter 9 2.3	Problem 1	✓	0.133	✓	0.238
1938	chapter 9 2.3	Problem 2	✓	0.139	✓	0.208
1939	chapter 9 2.3	Problem 3	✓	0.144	✓	0.333
1940	chapter 9 2.3	Problem 4	✗ (Timed out)	600.	✓	85.01
1941	chapter 9 2.3	Problem 5	✓	0.304	✓	2.427
1942	chapter 9 2.4	Problem 1	✓	0.185	✓	0.274
1943	chapter 9 2.4	Problem 2	✓	0.177	✓	0.133
1944	chapter 9 2.4	Problem 3	✓	0.267	✓	2.807
1945	chapter 9 2.4	Problem 4	✓	0.143	✓	0.326
1946	chapter 9 2.4	Problem 5	✓	0.044	✓	0.13
1947	chapter 9 2.4	Problem 6	✓	0.142	✓	0.425
1948	chapter 9 2.4	Problem 7	✓	3.95	✓	10.733
1949	chapter 9 2.4	Problem 8	✓	2.038	✓	15.509
1950	chapter 9 2.4	Problem 9	✗	23.655	✓	35.167
1951	chapter 9 2.4	Problem 10	✓	0.074	✓	0.336
1952	chapter 9 2.4	Problem 11	✓	0.185	✓	2.526
1953	chapter 9 2.4	Problem 12	✗	0.031	✓	4.548
1954	chapter 9 2.4	Problem 13	✓	2.958	✓	4.558
1955	chapter 9 2.4	Problem 14	✓	0.537	✓	1.389
1956	chapter 9 3.1	Problem 1	✓	0.073	✓	0.195
1957	chapter 9 3.1	Problem 2	✓	0.102	✓	0.335
1958	chapter 9 3.1	Problem 3	✓	0.226	✓	0.159
1959	chapter 9 3.1	Problem 4	✓	0.194	✓	0.756
1960	chapter 9 3.1	Problem 5	✗	2.677	✓	6.091
1961	chapter 9 3.1	Problem 6	✓	1.455	✓	6.593
1962	chapter 9 3.1	Problem 7	✗ (Timed out)	600.	✓	44.915
1963	chapter 9 3.2	Problem 1	✓	0.078	✓	0.172
1964	chapter 9 3.2	Problem 2	✓	0.104	✓	0.288
1965	chapter 9 3.2	Problem 3	✗	0.167	✓	0.705
1966	chapter 9 3.2	Problem 4	✗	2.52	✓	5.657
1967	chapter 9 3.2	Problem 5	✓	2.575	✓	3.809
1968	chapter 9 3.2	Problem 6	✗	2.641	✓	5.633
1969	chapter 9 3.2	Problem 7	✓	0.347	✓	0.694
1970	chapter 9 3.2	Problem 8	✓	1.351	✓	1.694
1971	chapter 9 3.2	Problem 9	✗ (Timed out)	600.	✓	14.656
1972	chapter 9 3.2	Problem 10	✗	1.863	✓	5.044
1973	chapter 9 4.1	Problem 1	✓	127.643	✓	0.713
1974	chapter 9 4.1	Problem 2	✓	3.164	✓	11.907
1975	chapter 9 4.1	Problem 3	✓	0.162	✓	0.738
1976	chapter 9 4.1	Problem 4	✗	167.253	✓	2.005
1977	chapter 9 4.1	Problem 5	✓	150.807	✓	19.258
1978	chapter 9 4.2	Problem 1	✓	130.254	✓	0.834
1979	chapter 9 4.2	Problem 2	✓	3.226	✓	10.288
1980	chapter 9 4.2	Problem 3	✓	0.143	✓	0.708
1981	chapter 9 4.2	Problem 4	✗	176.196	✓	1.653
1982	chapter 9 4.2	Problem 5	✓	155.26	✓	16.9
1983	chapter 9 4.3	Problem 1	✓	74.218	✓	1.66
1984	chapter 9 4.3	Problem 2	✓	3.212	✓	15.457
1985	chapter 9 4.3	Problem 3	✓	0.235	✓	1.266
1986	chapter 9 4.3	Problem 4	✗	185.477	✓	10.98
1987	chapter 9 4.3	Problem 5	✓	275.802	✓	6.223
1988	chapter 9 4.4	Problem 1	✓	70.045	✓	1.968
1989	chapter 9 4.4	Problem 2	✓	3.915	✓	5.489
1990	chapter 9 4.4	Problem 3	✓	0.209	✓	0.819
1991	chapter 9 4.4	Problem 4	✗	189.822	✓	3.596
1992	chapter 9 4.4	Problem 5	✓	272.554	✓	14.666
1993	chapter 9 4.5	Problem 1	✓	132.333	✓	0.26
1994	chapter 9 4.5	Problem 2	✓	59.285	✓	1.175
1995	chapter 9 4.5	Problem 3	✗	180.194	✓	0.703
1996	chapter 9 4.5	Problem 4	✓	0.109	✓	0.691
1997	chapter 9 4.5	Problem 5	✓	158.848	✓	5.229
1998	chapter 9 5.1	Problem 1	✓	0.169	✓	0.236
1999	chapter 9 5.1	Problem 2	✓	0.126	✓	0.496
2000	chapter 9 5.1	Problem 3	✗	0.523	✓	0.63
2001	chapter 9 5.1	Problem 4	✗	0.27	✓	2.477
2002	chapter 9 5.1	Problem 5	✓	1.416	✓	349.608

Handbook of nonlinear partial differential equations

Table 1.19: Handbook of nonlinear partial differential equations breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
2003	chapter 1 1.1	Problem 1	✗	0.361	✗	7.63
2004	chapter 1 1.1	Problem 2	✓	0.108	✓	0.671
2005	chapter 1 1.2	Problem 1	✗	0.08	✗	19.037
2006	chapter 1 1.2	Problem 2	✗	0.094	✓	0.776
2007	chapter 1 1.2	Problem 3	✗	0.182	✓	0.542
2008	chapter 1 1.2	Problem 4	✗	0.175	✓	0.74
2009	chapter 1 1.2	Problem 5	✗	0.891	✓	1.456
2010	chapter 1 1.3	Problem 1	✗	0.008	✗	0.093
2011	chapter 1 1.3	Problem 2	✗	0.009	✗	0.018
2012	chapter 1 1.3	Problem 3	✗	0.015	✗	0.198
2013	chapter 1 1.3	Problem 4	✗	0.015	✗	0.025
2014	chapter 1 1.4	Problem 1	✗	0.012	✗	0.018