1.4 Result lookup table on one web page

Miscellaneous PDE’s

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
1	General first order	Transport equation \(u_t+ u_x = 0\)	✓	0.029	✓	0.124	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)	✓	0.005	✓	0.059	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)	✓	0.004	✓	0.02	Yes	Yes
4	General first order	Transport equation \(u_t+u_x+\frac {1}{2}u = 0\) IC \(u(0,x)=\arctan (x)\). Peter Olver textbook, 2.2.2 (c)	✓	0.003	✓	0.052	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)	✓	0.004	✓	0.018	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	✓	0.05	✓	0.105	Yes	Yes
7	General first order	Transport equation \(u_t+\frac {1}{1+x^2} u_x= 0\) IC \(u(x,0)=\frac {1}{1+(3+x)^2}\). Peter Olver textbook, page 27	✓	0.014	✓	0.182	Yes	Yes
8	General first order	Transport equation \(u_t-x u_x= 0\) IC \(u(x,0)=\frac {1}{1+x^2}\). Peter Olver textbook, problem 2.2.17	✓	0.004	✓	0.051	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	✓	0.018	✓	0.076	Yes	Yes
10	General first order	Transport equation \(u_t+\frac {1}{x^2+4} u_x= 0\) IC \(u(x,0)=e^{x^3+12 x}\)	✓	0.012	✓	0.065	Yes	Yes
11	General first order	\(3 u_x + 5 u_y = x\)	✓	0.004	✓	0.009	Yes
12	General first order	\(x u_y + y u_x = -4 x y u\) and \(u(x,0)=e^{-x^2}\)	✓	0.011	✓	0.056	Yes
13	General first order	\(u_t + u_x = 0\) and \(u(x,0)=\sin x\) and \(u(0,t)=0\)	✓	0.059	✓	0.37	Yes
14	General first order	\(u_t+ c u_x = 0\) and \(u(x,0)=e^{-x^2}\)	✓	0.003	✓	0.02	Yes
15	General first order	(Haberman 12.2.2) \(\omega _t -3 \omega _x = 0\) and \(\omega (x,0)=\cos x\)	✓	0.003	✓	0.017	Yes
16	General first order	(Haberman 12.2.4) \(\omega _t +c \omega _x = 0\) and \(\omega (x,0)=f(x)\) and \(\omega (0,t)=h(t)\)	✗	11.601	✓ Solution contains unresolved invlaplace calls	0.405	Yes
17	General first order	(Haberman 12.2.5 (a)) \(\omega _t +c \omega _x = e^{2 x}\) and \(\omega (x,0)=f(x)\)	✓	0.028	✓	0.046	Yes
18	General first order	(Haberman 12.2.5 (d)) \(\omega _t +3 t \omega _x = \omega (x,t)\) and \(\omega (x,0)=f(x)\)	✓	0.024	✓	0.048	Yes
19	General first order	\( 2 u_x + 5 u_y = u^2(x,y) + 1\)	✓	0.096	✓	0.042	Yes
20	General first order	Clairaut equation \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\)	✓	0.025	✓	0.321	Yes
21	General first order	Clairaut equation. \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\) with \(u(x,0)= \frac {1}{2} (1-x^2)\)	✓	0.009	✓	0.682
22	General first order	Clairaut equation. \(u = x u_x+ y u_y + \sin ( u_x + u_y )\)	✓	0.029	✓	0.013
23	General first order	Recover a function from its gradient vector	✓	0.022	✓	0.061
24	General first order	\(x f_y - f_x = \frac {g(x)}{h(y)} f^2\)	✓	0.057	✓	0.039	Yes
25	General first order	\(f_x + (f_y)^2 = f(x,y,z)+z\)	✓	0.164	✓	0.462
26	General first order	\(x u_x+y u_y=u\) (Example 3.5.1 in Lokenath Debnath)	✓	0.007	✓	0.009	Yes
27	General first order	\(x u_x+y u_y=n u\) Example 3.5.2 in Lokenath Debnath	✓	0.007	✓	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	✓	0.086	✓	0.024	Yes
29	General first order	\((y-z) u_x + (z-x) u_y + (x-y) u_z = 0\) (Example 3.5.4 in Lokenath Debnath)	✗ (Timed out)	600.	✓	1.901	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)	✓	0.356	✓	0.284	Yes
31	General first order	\(u_x-u_y=1\) with \(u(x,0)=x^2\) Example 3.5.6 in Lokenath Debnath	✓	0.003	✓	0.018
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	✗	1.363	✗	0.441
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	✓	0.093	✓	0.057
34	General first order	\(u_t+u u_x=x\) with \(u(x,0)=f(x)\) Example 3.5.11 in Lokenath Debnath.	✗	0.68	✓	0.195
35	General first order	\(u_x=0\) Problem 3.3(a) Lokenath Debnath	✓	0.003	✓	0.002
36	General first order	\(a u_x+b u_y=0\) Problem 3.3(b) Lokenath Debnath	✓	0.004	✓	0.007
37	General first order	\(u_x+y u_y=0\) Problem 3.3(c) Lokenath Debnath	✓	0.014	✓	0.009
38	General first order	\((1+x^2) u_x+ u_y=0\) Problem 3.3(d) Lokenath Debnath	✓	0.006	✓	0.008
39	General first order	\(2 x y u_x+(x^2+y^2)u_y=0\) Problem 3.3(e) Lokenath Debnath	✓	0.081	✓	0.023
40	General first order	\((y+u) u_x+y u_y=x-y\) Problem 3.3(f) Lokenath Debnath	✗	4.697	✓	0.314
41	General first order	\(y^2 u_x- x y u_y=x(u-2 y)\) Problem 3.3(g) Lokenath Debnath	✓	0.029	✓	0.034
42	General first order	\(y u_y - x u_x = 1\) Problem 3.3(h) Lokenath Debnath	✓	0.007	✓	0.007
43	General first order	\(u_x+2 x y^2 u_y=0\) Problem 3.4 Lokenath Debnath	✓	0.055	✓	0.011
44	General first order	\(3 u_x+2 u_y=0\) with \(u(x,0)=\sin x\). Problem 3.5(a) Lokenath Debnath	✓	0.003	✓	0.014
45	General first order	\(y u_x+x u_y=0\) with \(u(0,y)=e^{-y^2}\). Problem 3.5(b) Lokenath Debnath	✓	0.01	✓	0.024
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	✓	0.006	✓	0.008
47	General first order	\(u_x+x u_y=0\) with \(u(0,y)=\sin y\). Problem 3.5(d) Lokenath Debnath	✓	0.003	✓	0.013
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	✗	1.149	✗	0.406
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	✓	0.005	✓	0.083
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	✓	0.007	✓	0.008
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	✓	0.041	✓	0.061
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	✓	0.011	✓	0.047
53	General first order	\(x u_x+y u_y+z u_z=0\) Problem 3.8(a) .Lokenath Debnath	✓	0.01	✓	0.01
54	General first order	\(x^2 u_x+y^2 u_y+z(x+y)u_z=0\) Problem 3.8(b) Lokenath Debnath	✓	0.059	✓	0.017
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	✓	0.033	✓	0.683
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	✓	0.071	✓	0.038
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	✗	45.674	✗	0.214
58	General first order	\(u_x+x u_y=y\) with \(u(0,y)=y^2\) Problem 3.9(a) Lokenath Debnath	✓	0.004	✓	0.018
59	General first order	\(u_x+x u_y=y\) with \(u(1,y)=2 y\) Problem 3.9(b) Lokenath Debnath	✓	0.004	✓	0.007
60	General first order	\((u_x+u_y)^2-u^2=0\). Problem 3.10 Lokenath Debnath	✓	0.007	✓	0.018
61	General first order	\((y+u)u_x+y u_y=x-y\) with \(u(x,1)=1+x\). Problem 3.11 Lokenath Debnath	✗	9.16	✗	0.901
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	✓	0.009	✓	0.116
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	✓	0.01	✓	0.036
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	✓	0.016	✓	0.036
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	✓	0.007	✓	0.01
66	General first order	\(u_x+u u_y=1\) with \(u(0,y)=a y\). Problem 3.16(a) Lokenath Debnath	✓	0.022	✓	0.021
67	General first order	\((y+u)u_x+(x+u)u_y=x+y\). Problem 3.17(a) Lokenath Debnath	✗	30.979	✓	1.295
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	✓	0.033	✓	0.04
69	General first order	\((x+y) u_x + (x-y)u_y =0\). Problem 3.17(c) Lokenath Debnath	✓	0.032	✓	0.044
70	General first order	\(y u_x - x u_y = e^u\) with \(u(0,y)=y^2-1\)	✓	0.103	✓	0.089	Yes
71	General first order	\(y u_x - x u_y = e^u\)	✓	0.053	✓	0.001	Yes
72	General first order	\(u_t + x u_x = 0\) with \(u(x,0)=x^2\). Math 5587	✓	0.006	✓	0.02	Yes
73	General first order	\(u_t + t u_x = 0\) with \(u(x,0)=e^x\)	✓	0.009	✓	0.028	Yes
74	General first order	\(2 u_x + 3 u_y = 1\)	✓	0.004	✓	0.008	Yes
75	General first order	\(x u_t - t u_x = 0\)	✓	0.01	✓	0.01	Yes
76	General first order	\(u_t + u_x = 0\) with \(u(x,1)=\frac {x}{1+x^2}\)	✓	0.004	✓	0.009	Yes
77	General first order	\(u_x u_y = 1\)	✓	0.002	✓	0.015	Yes
78	General first order	\(u_x u_y = u\) with \(u(x,0)=0,u(0,y)=0\)	✗	1.108	✓	0.23	Yes
79	Solved by factoring into two transport equations	\(u_{xx} + u_{xt} - 6 u_{tt} = 0\)	✓	0.009	✓	0.081	Yes
80	Solved by factoring into two transport equations	\(u_{xx} - u_{xt} - 12 u_{tt} = 0\)	✓	0.009	✓	0.245	Yes
81	Solved by factoring into two transport equations	\(u_{xx} - 3 u_{xt} - 4 u_{tt} = 0\)	✓	0.009	✓	1.926	Yes
82	Solved by factoring into two transport equations	\(u_{tt} - 2 u_{xt} - 3 u_{xx} = 0\) with \(u(0,x)=x^2, u_t(x,0)=e^x\)	✓	0.013	✓	1.645
83	Schrodinger PDE	Logan textbook, page 30	✓	0.391	✓	0.393
84	Schrodinger PDE	In a square, zero potential	✓	0.852	✓	3.302
85	Schrodinger PDE	From Mathematica help pages	✓	0.627	✓	0.786
86	Schrodinger PDE	From Mathematica help pages	✓	0.005	✗ Trivial solution. Maple does not support \(\infty \) in boundary conditions	9.647
87	Schrodinger PDE	David Griffiths, page 47	✓	37.402	✓	1.725
88	Schrodinger PDE	David Griffiths, page 47	✓	0.565	✓	0.913
89	Schrodinger PDE	In a square	✓	0.567	✓	4.639
90	Beam PDE	Beam PDE \(u_{tt} + u_{xxxx} = 0\)	✓	0.212	✓	0.235
91	Burger’s PDE	Inviscid Burgers \(u_x + u u_y = 0\)	✓ Implicit solution	0.026	✓	0.025	Yes
92	Burger’s PDE	Inviscid Burgers with I.C. \(u_x+ u u_y = 0\) and \(u(x,0)=\frac {1}{x+1}\)	✓	0.008	✓	0.064	Yes
93	Burger’s PDE	\(u_t+ u u_x = \mu u_{xx}\)	✓	0.03	✓	0.077
94	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) with IC	✓	9.03	✗	0.661
95	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) IC as UnitBox	✓	36.079	✗	0.727
96	Black Scholes PDE	classic Black Scholes model from finance, European call version	✓	2.444	✓	1.223
97	Black Scholes PDE	Boundary value problem for the Black Scholes equation	✓	3.581	✓	2.214
98	Korteweg-deVries PDE	\(u_{xxx} + u_t -6 u u_x = 0\)	✓	0.03	✓	0.191
99	Tricomi PDE	\(u_{xx} + y u_{yy} = 0\) with \(u(x,0)=0,u_y(x,0)=x^2\)	✓	8.831	✓	3.635
100	Tricomi PDE	\(u_{xx} + x u_{yy} = 0\)	✗	0.01	✓	1.559
101	Keldysh equation	\(x u_{xx} + u_{yy} = 0\)	✗	0.007	✓	1.803
102	Euler-Poisson-Darboux equation	\(u_{xx} + u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.01	✓	0.091
103	Euler-Poisson-Darboux equation	\(u_{xx} - u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.009	✓	0.424
104	Euler-Poisson-Darboux equation	\(u_{tt} - u_{xx} - \frac {2}{x} u_x = 0\) with \(u(x,0)=0,u_t(x,0)=g(x)\)	✗	1.838	✓	4.568
105	Chaplygin’s equation	\(u_{\theta \theta }+\frac {v^2}{1-\frac {v^2}{c^2}} u_{vv} + v u_v=0\)	✗	0.028	✓	1.144
106	Cauchy Riemann PDE’s	Cauchy Riemann PDE with Prescribe the values of \(u\) and \(v\) on the \(x\) axis	✓	0.009	✓	0.168
107	Cauchy Riemann PDE’s	Cauchy Riemann PDE With extra term on right side	✗	0.001	✓	0.057
108	Hamilton-Jacobi PDE	Hamilton-Jacobi type PDE	✗	0.007	✓	0.186
109	Airy PDE	\(u_t + u_{xxx} = 0\)	✓	0.027	✓	0.078	Yes
110	Nonlinear PDE’s	Bateman-Burgers \(u_t+u u_x = \nu u_{xx}\)	✓	0.022	✓	0.069
111	Nonlinear PDE’s	Benjamin Bona Mahony \(u_t+u_x + u u+x - u_{xxt} = 0\)	✓	0.031	✓	0.085
112	Nonlinear PDE’s	Benjamin Ono \(u_t+H u_{xx} +u u_x = 0\)	✓	0.022	✓	0.071
113	Nonlinear PDE’s	Born Infeld \((1-u_t^2) u_{xx} + 2 u_x u_t u_{xt} - (1+ u_x^2) u_{tt}=0\)	✓	0.011	✓	0.15
114	Nonlinear PDE’s	Boussinesq \(u_{tt}-u_{xx}-u_{xxxx} - 3 (u^2)_{xx} = 0\)	✓	0.041	✓	0.101
115	Nonlinear PDE’s	Boussinesq type \(u_{tt}-u_{xx}-2 \alpha (u u_x)_x - \beta u_{xxtt} = 0\)	✓	0.041	✓	0.116
116	Nonlinear PDE’s	Buckmaster \( u_t = (u^4)_{xx} + (u^3)_x\)	✗	0.073	✓ Answer in terms of RootOf.	0.648
117	Nonlinear PDE’s	Camassa Holm \(u_t + 2 k u_x - u_{xxt} + 3 u u_x = 2 u_x u_{xx}+ u u_{xxx}\)	✗	0.182	✓ Answer in terms of RootOf.	1.383
118	Nonlinear PDE’s	Chaffee Infante \(u_t = u_{xx} + \lambda (u^3 - u) = 0\)	✗	0.096	✓	0.197
119	Nonlinear PDE’s	Clarke. \(\left ( \theta _t - \gamma e^\theta \right )_{tt} = \left ( \theta _t - e^\theta \right )_{xx}\)	✗	0.011	✗	0.028
120	Nonlinear PDE’s	Degasperis Procesi \(u_t - u_{xxt} + 4 u u_x = 3 u_x u_xx + u u_{xxx}\)	✗	0.177	✓ But still has unresolved ODE’s in solution	0.516
121	Nonlinear PDE’s	Dym equation \(u_t =u^3 u_{xxx}\)	✗	0.085	✓ has RootOf	0.426
122	Nonlinear PDE’s	Estevez Mansfield Clarkson \(u_{tyyy} + \beta u_y u_{yt} + \beta u_{yy} u_t + u_{tt} = 0\)	✓	0.032	✓	0.139
123	Nonlinear PDE’s	Fisher’s \(u_t = u(1-u)+u_{xx}\)	✓	0.052	✓	0.186
124	Nonlinear PDE’s	Hunter Saxton \(\left ( u_t + u u_x) \right )_x = \frac {1}{2} (u_x)^2\)	✗	0.044	✓ with RootOf	0.115
125	Nonlinear PDE’s	Kadomtsev Petviashvili \( \left ( u_t + u u_x + \epsilon ^2 u_{xxx} \right )_x + \lambda u_{yy} = 0 \)	✓	0.068	✓	0.14
126	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ \lambda u^p=0\)	✗	0.009	✗	0.021
127	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ u^2=0\)	✗	0.221	✓	0.409
128	Nonlinear PDE’s	Khokhlov Zabolotskaya \(u_{x t} - (u u_x)_x = u_{yy}\)	✗	0.067	✓	0.276
129	Nonlinear PDE’s	Korteweg de Vries (KdV) \(u_t + (u_x)^3+ 6 u u_x = 0\)	✓	0.028	✓	0.102
130	Nonlinear PDE’s	Lin Tsien \(2 u_{tx} + u_x u_{xx} - u_{yy} = 0\)	✗	0.083	✓	0.283
131	Nonlinear PDE’s	Liouville \(u_{xx} + u_{yy} +e^{\lambda u} = 0\)	✗	0.008	✗	0.319
132	Nonlinear PDE’s	Plateau \((1+u_y^2)u_{xx} - 2 u_x u_y y_{xy} + (1+u_x^2) u_{yy} = 0\)	✗	0.035	✓	0.153
133	Nonlinear PDE’s	Rayleigh \(u_{tt} - u_{xx} = \epsilon (u_t - u_t^3)\)	✗	0.08	✓ Has RootOf	0.158
134	Nonlinear PDE’s	Sawada Kotera \(u_t + 45 u^2 u_x + 15 u_x u_{xx} + 15 u u_{xxx} + u_{xxxxx} = 0 \)	✓	0.085	✓	0.14
135	Nonlinear PDE’s	Sine Gordon \(\phi _{tt} - \phi _{xx} + \sin \phi = 0\)	✗	0.01	✗	0.014
136	Nonlinear PDE’s	Sinh Gordon \( u_{xt} = \sinh u\)	✗	0.009	✗	0.014
137	Nonlinear PDE’s	Sinh Poisson \(u_{xx}+u_{yy} + \sinh u=0\)	✗	0.009	✗	0.012
138	Nonlinear PDE’s	Thomas equation \( u_{xy} + \alpha u_x + \beta u_y+ \nu u_x u_y =0\)	✗	0.066	✓	0.427
139	Nonlinear PDE’s	phi equation \(\phi _{tt} - \phi _{xx} - \phi + \phi ^3 = 0\)	✓	0.044	✓	0.118
140	more miscellaneous	\(S S_{xy} + S_x S_y = 1\)	✗	0.033	✓	0.038
141	more miscellaneous	\(u_{rr} + u_{\theta \theta } = 0\)	✓	26.96	✓	0.707
142	more miscellaneous	\( u_{xx} + y u_{yy} = 0\)	✓	7.356	✓	3.055
143	more miscellaneous	\(u_t + u_{xxx} = 0\)	✓	1.27	✓	16.98
144	more miscellaneous	\(u_{xy} = \sin (x) \sin (y) \)	✓	0.224	✓	0.569
145	more miscellaneous	\(w_t = w_{x_1 x_1} + w_{x_2 x_2} + w_{x_3 x_3}\)	✓	2.618	✓	0.735
146	more miscellaneous	Linear PDE, initial conditions at \(t=t_0\)	✓	2.998	✓	0.744
147	more miscellaneous	second order in time, Linear PDE, initial conditions at \(t=t_0\)	✓	1.94	✓	2.332
148	more miscellaneous	Einstein-Weiner \(u_t = -\beta u_x + D u_{xx}\)	✓	0.02	✓	0.319
149	more miscellaneous	Using integral transforms.	✗	1.022	✓	2.997

Parabolic PDE’s (Diffusion)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
150	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	General initial conditions	✓	60.751	✓	2.103	Yes
151	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Specific initial condition	✓	9.824	✓	0.916	Yes	Yes
152	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC \(u=x(1-x)\)	✓	14.917	✓	1.108	Yes	Yes
153	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (a)	✓	0.351	✓	3.666	Yes
154	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC hat function	✓	19.338	✓	2.584	Yes	Yes
155	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (b)	✓	0.863	✓	3.852	Yes
156	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (c)	✓ but \(n=3\) should be special case	30.809	✓ handled \(n=3\) case correctly.	9.375	Yes
157	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (d)	✓	499.335	✓	38.43	Yes
158	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	17.557	✓	1.255	Yes
159	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	15.594	✓	1.259	Yes	Yes
160	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (general case)	✓	68.416	✓	2.5	Yes
161	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (special case)	✓	57.962	✓	2.473	Yes	Yes
162	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (general case)	✓	67.009	✓	5.115	Yes
163	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (special case)	✓	64.652	✓	10.528	Yes	Yes
164	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Math 4567 Exam	✓	17.974	✓	2.245	Yes
165	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	With source	✓	64.651	✓	8.138
166	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	special initial condition	✓	2.704	✗ (Timed out)	600.	Yes
167	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction and Euler-Cauchy Sturm-Liouville	✓	12.255	✓	3.718
168	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Using growth form reaction term	✓	81.603	✓	1.02	Yes
169	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using logistic form for reaction term	✗	1.648	✗	4.908
170	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using Aleee form for reaction term	✗	2.839	✗	6.778
171	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Haberman 2.3.8	✓	32.027	✓	2.621	Yes
172	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	31.889	✓	1.887	Yes
173	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	0.537	✓	1.493
174	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✗	39.849	✓	1.266
175	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (general case)	✓	30.778	✓	1.681	Yes
176	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (special case)	✗	31.483	✓	1.295	Yes	Yes
177	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.2 (general case)	✓	30.45	✓	2.846	Yes
178	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Left end zero, right end insulated, no source	✓	30.554	✓	4.609	Yes
179	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	One end insulated	✓	30.898	✓	2.701
180	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.7 (general case)	✓	30.566	✓	2.343	Yes
181	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	specific case	✓	6.322	✓	1.323	Yes	Yes
182	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (a)	✗ (Timed out)	600.	✓	34.522
183	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Both ends insulated, no source	✓	14.057	✓	3.831	Yes
184	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (b) (special case)	✓	0.593	✓	5.284	Yes
185	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (c) (special case)	✓	31.19	✓	11.313	Yes
186	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (d)	✓	0.39	✓	4.62
187	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	both ends insulated	✓	77.322	✓	8.408
188	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	31.507	✓	1.127
189	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.25	✓	68.393	✓	10.324
190	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	external source	✓	47.067	✓	24.241
191	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction (general case)	✓	88.469	✓	1.007	Yes	Yes
192	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.23	✓	1.239	✓	25.969
193	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.21	✓	0.381	✓	5.803
194	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Euler-Cauchy Sturm-Liouville	✓	31.566	✓	32.102	Yes
195	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	30.888	✓	2.48	Yes
196	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Mixed BC	✓	31.407	✓	5.308
197	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 8.2.1 (f)	✓	92.918	✓	6.183
198	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (general case)	✓	32.209	✓	3.295	Yes
199	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (special case)	✓	5.766	✓	1.711	Yes	Yes
200	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (general case)	✓	64.386	✓	3.083	Yes
201	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (special case)	✓	0.009	✓	3.347	Yes
202	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC, special case	✓	11.58	✓	3.084	Yes	Yes
203	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	convection heat loss	✓	20.874	✗ (Timed out)	600.	Yes
204	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	0.422	✓	10.994
205	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	66.959	✓	1.681
206	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	66.762	✓	14.425	Yes
207	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (general case)	✓	80.609	✓	11.675	Yes
208	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	80.316	✓	11.947	Yes	Yes
209	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	85.399	✓	9.148	Yes	Yes
210	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	Haberman 8.3.6 (special case)	✓	123.182	✓	18.416	Yes	Yes
211	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	BC depends on time (special case)	✓	10.802	✓	5.644
212	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). IC given	✓	17.304	✓	10.775
213	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). No IC given	✓	0.013	✓	1.554	Yes
214	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). Damped heat PDE. No IC given	✗	0.026	✓	1.55	Yes
215	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends non-homogeneous BC (general case)	✓	61.831	✓	4.59	Yes
216	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	non-homogeneous BC (special case)	✓	21.41	✓	2.569	Yes
217	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.1 (special case)	✓	19.417	✓	2.634	Yes
218	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (general case)	✓	80.332	✓	5.211	Yes
219	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (special case)	✓	123.312	✓	4.407	Yes	Yes
220	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space and time only (general case)	✓	66.991	✓	9.974	Yes
221	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (general case)	✓	99.038	✓	21.379	Yes
222	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (special case)	✓	65.856	✓	22.126	Yes	Yes
223	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends nonhomogeneous	✓	93.199	✓	16.422	Yes
224	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (a) (general case)	✓	37.261	✓	5.292	Yes
225	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (d) (general solution)	✓	78.393	✓	6.201	Yes
226	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on space only (general solution)	✓	140.923	✗ (Timed out)	600.	Yes
227	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on space only (special case)	✓	132.866	✓	33.465	Yes	Yes
228	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)	✓	77.304	✓	16.904	Yes
229	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source present (special case)	✓	141.893	✓	52.566	Yes	Yes
230	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Pinchover and Rubinstein 6.17	✗	1.972	✓	8.3
231	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	nonhomogeneous BC	✓	139.915	✓	18.675
232	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.2. (a)	✓	119.345	✓	28.079	Yes
233	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.3	✓	34.029	✓	15.807
234	Diffusion in 1D Semi-infinite domain	left end constant (general case)	✓	60.035	✓	1.84	Yes
235	Diffusion in 1D Semi-infinite domain	left end constant (special case)	✓ It fail if assumption \(x>0\) is given. A bug	34.512	✓	2.836	Yes	Yes
236	Diffusion in 1D Semi-infinite domain	Logan p. 76. Left end general function of time (general case)	✓	0.553	✓	6.489	Yes
237	Diffusion in 1D Semi-infinite domain	Left end function of time (special case)	✓	60.044	✓	7.712	Yes	Yes
238	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.029	✓	2.753
239	Diffusion in 1D Semi-infinite domain	I.C. not zero	✓ due to IC/BC not zero	13.338	✓	2.967
240	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.073	✓	2.69
241	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.07	✓	7.536
242	Diffusion in 1D Semi-infinite domain	nonhomogeneous B.C.	✓	60.034	✓	2.384
243	Diffusion in 1D Semi-infinite domain	Unit triangle I.C.	✓	61.013	✓	3.709
244	Diffusion in 1D Semi-infinite domain	I.C. not at \(t=0\)	✓	61.506	✓	2.31
245	Diffusion in 1D Semi-infinite domain	Diffusion with advection	✓	1.674	✓	4.866
246	Diffusion in 1D Semi-infinite domain	Practice exam problem	✓	60.118	✓	3.146
247	Diffusion in 1D Infinite domain	Inverse exponential I.C.	✓	0.753	✓	3.941	Yes
248	Diffusion in 1D Infinite domain	Advection term	✓	0.513	✓	2.835
249	Diffusion in 1D Infinite domain	UnitBox I.C.	✓	60.017	✓	6.335
250	Diffusion in 1D Infinite domain	No source	✓	0.384	✓	6.612
251	Diffusion in 1D Infinite domain	constant as source	✓	0.416	✓	3.597
252	Diffusion in 1D Infinite domain	No intial conditions	✓	0.002	✓	0.707	Yes
253	Diffusion in 1D Infinite domain	piecewise I.C.	✓ due to i.c. not at zero	51.763	✓	7.01	Yes
254	Diffusion in 1D Infinite domain	Practice exam problem	✓	0.066	✓	1.631
255	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	No source	✓	8.192	✓	11.596
256	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Internal source term	✓	16.973	✓	11.128
257	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Articolo 6.6.3	✓	12.205	✓	17.917
258	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (General solution)	✓	0.926	✓ Cant get series solution	53.213	Yes
259	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (Specific solution)	✓	2.87	✓ Do not understand Maple solution	17.698	Yes	Yes
260	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	0.329	✓	5.741
261	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	1.125	✓	1.125
262	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.3.5 (General solution)	✓	18.268	✓	5.17	Yes
263	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	3.388	✓	4.	Yes	Yes
264	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	2.366	✗	6.497	Yes	Yes
265	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.1	✓	4.106	✗	3.571
266	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.2	✓	4.525	✓	42.538
267	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.2.5 with \(\theta \) dependency (General case)	✓	326.327	✗	1.684	Yes
268	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (Specific example)	✓	8.153	✗	4.289	Yes	Yes
269	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (specific example)	✓	9.657	✗	4.13	Yes	Yes
270	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (General solution)	✓	6.323	✗	10.47	Yes
271	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✓	19.174	✗	7.694	Yes	Yes
272	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✗ (Timed out)	600.	✗	7.392	Yes	Yes
273	Diffusion in 3D Spherical coordinates	No angle dependencies	✓	61.069	✓ Has unresolved Laplace integrals	3.78
274	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (a)	✗	0.033	✓	75.741	Yes	Yes
275	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (b)	✗	0.028	✗	26.434	Yes	Yes
276	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (c)	✗	0.029	✗	26.128
277	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (a)	✗	0.006	✗	4.344
278	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (b)	✗	0.006	✗	4.188
279	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (c)	✗	0.006	✗	4.214

Elliptic PDE’s (Laplace, Poisson, Helmholtz)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
280	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge not	✓	0.293	✓	78.897	Yes
281	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, right edge not	✓	0.674	✓	7.527	Yes
282	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge has impulse	✓	2.443	✓	25.953	Yes
283	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (a)	✓	0.287	✓	58.794
284	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (b)	✓	0.277	✓	72.414
285	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (c)	✓	3.84	✓	50.321
286	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (d)	✓	3.146	✓	76.114
287	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (e)	✓	17.265	✓	70.724	Yes
288	Laplace in 2D Cartesian coordinates	Unit triangle B.C.	✓	0.948	✓	19.002
289	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	2.19	✓	7.02	Yes
290	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	1.523	✓	7.72	Yes
291	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	2.248	✓	9.542	Yes
292	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	40.198	✓	46.18	Yes
293	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	1.681	✓	53.657
294	Laplace in 2D Cartesian coordinates	Laplace PDE in 2D Cartessian with boundary condition as Dirac function	✓	0.043	✓	3.918
295	Laplace in 2D Cartesian coordinates	One side homogeneous	✓	0.566	✓	67.987
296	Laplace in 2D Cartesian coordinates	In right half plane	✓	21.874	✓	4.062
297	Laplace in 2D Cartesian coordinates	Right edge at infinity	✗	0.861	✓	35.773
298	Laplace in 2D Cartesian coordinates	Dirichlet problem Upper half	✓	1.339	✓	5.267
299	Laplace in 2D Cartesian coordinates	Right half-plane	✓	22.702	✓	4.731
300	Laplace in 2D Cartesian coordinates	First quadrant	✓	14.532	✗	32.221
301	Laplace in 2D Cartesian coordinates	Neumann problem upper half-plane	✓	4.536	✓ used convert(sol,Int).	9.638
302	Laplace in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	1.167	✓	10.724
303	Laplace in 2D Cartesian coordinates	Strip in upper half	✓	60.25	✓	12.8
304	Laplace in 2D Cartesian coordinates	in Rectangle, right edge at infinity	✗	0.859	✓	35.71
305	Laplace in 2D Polar coordinates	Laplace PDE inside quarter disk, Neumann BC at edge	✓	2.708	✓	2.815
306	Laplace in 2D Polar coordinates	\(r=4\) and \(u=x^4\) at boundary of disk	✓	143.09	✓	13.167	Yes
307	Laplace in 2D Polar coordinates	\(r=1\) and \(u_r=x\) at boundary of disk	✗	0.01	✗	1.92	Yes
308	Laplace in 2D Polar coordinates	Laplace inside disk. General solution	✓	0.593	✓	9.977
309	Laplace in 2D Polar coordinates	Laplace inside disk. Specific boundary conditions	✓	3.703	✓	7.162	Yes
310	Laplace in 2D Polar coordinates	Haberman 2.5.5 (c)	✗	2.03	✓	2.379	Yes
311	Laplace in 2D Polar coordinates	semi-circle	✓	1.289	✓	2.211
312	Laplace in 2D Polar coordinates	Haberman 2.5.8 (b)	✓	8.536	✓ But has unresolved Invfourier and Fourier calls	36.41	Yes
313	Laplace in 2D Polar coordinates	Circular annulus	✓	2.22	✓	1.924
314	Laplace in 2D Polar coordinates	Outside a disk	✓	6.559	✓	1.35
315	Laplace in 2D Polar coordinates	Outside a disk	✓	4.247	✓	1.549	Yes
316	Laplace in 3D Spherical coordinates	In a sphere	✓	0.028	✓	0.63
317	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (a)	✗	0.015	✗	0.796
318	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (b)	✗	0.013	✗	0.722
319	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (c)	✗	0.013	✗	0.76
320	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (d)	✗	0.013	✗	0.818
321	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (e)	✗	0.013	✗	0.878
322	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (a)	✗	0.014	✗	1.071
323	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (b)	✗	0.013	✗	5.71
324	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (c)	✗	0.018	✗	6.572
325	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (d)	✗	0.013	✗	1.244
326	Poisson in 2D Cartesian coordinates	All boundaries at zero	✗	0.013	✗	20.204	Yes
327	Poisson in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	0.22	✓	0.308
328	Poisson in 2D Cartesian coordinates	Poisson PDE in whole 2D plane	✓	0.009	✓	0.012	Yes
329	Helmholtz in 2D Cartesian coordinates	In rectangle	✓	62.821	✓	4.592
330	Helmholtz in 2D Cartesian coordinates	On whole plane	✓ why? It solved earlier with BC?	0.004	✓	0.062
331	Helmholtz in 2D Cartesian coordinates	Reduced Helmholtz Inside square	✓	60.777	✓	15.635
332	Helmholtz in 3D Spherical coordinates	Chain reaction PDE	✗	0.107	✗ trivial solution	1.06	Yes

Hyperbolic PDE’s (Wave)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
333	Wave PDE in 1D Finite length string	General solution for both ends fixed. Domain is \(0\dots L\)	✓	31.256	✓	5.257	Yes
334	Wave PDE in 1D Finite length string	both ends fixed, inital position zero (special case)	✓	30.778	✓	2.093	Yes	Yes
335	Wave PDE in 1D Finite length string	both ends fixed, inital velocity zero (special case)	✓	28.551	✓	1.545	Yes	Yes
336	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-\pi \dots \pi \). zero intial position, non zero initial velocity	✓	30.489	✓	13.026	Yes	Yes
337	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-1 \dots 1\). intial position is an impulse, zero initial velocity	✓	4.061	✓	3.058	Yes
338	Wave PDE in 1D Finite length string	Logan book, page 28. Both ends fixed	✓	0.932	✓	0.754
339	Wave PDE in 1D Finite length string	non-zero initial velocity. Both ends fixed	✓	87.438	✓	1.256
340	Wave PDE in 1D Finite length string	Logan book page 149)	✓	18.954	✓	2.06
341	Wave PDE in 1D Finite length string	Haberman 8.5.2 (a)	✓	21.679	✓	11.875
342	Wave PDE in 1D Finite length string	Haberman 8.5.2 (b)	✓	44.734	✓	7.368	Yes
343	Wave PDE in 1D Finite length string	Both I.C. not zero	✓	39.364	✓	2.855
344	Wave PDE in 1D Finite length string	With constant source	✓	38.044	✓	6.007
345	Wave PDE in 1D Finite length string	Logan page 213	✓	13.653	✓	4.996
346	Wave PDE in 1D Finite length string	Telegraphy PDE	✓	86.112	✓	2.658
347	Wave PDE in 1D Finite length string	Dispersion term present (general case)	✓ Due to adding dispersion term	34.446	✓	5.641	Yes
348	Wave PDE in 1D Finite length string	Dispersion term present	✓ Due to adding dispersion term	91.097	✓	17.417	Yes
349	Wave PDE in 1D Finite length string	Dispersion term present (specific case)	✓ Due to adding dispersion term	93.203	✓	4.549	Yes	Yes
350	Wave PDE in 1D Finite length string	non-zero initial position	✓ But sum should not include \(n=2\)	31.018	✓ Handled \(n=2\) case correctly	9.898
351	Wave PDE in 1D Finite length string	With source	✓	38.874	✓	15.175
352	Wave PDE in 1D Finite length string	Right end free (general case)	✓	24.766	✓	8.484	Yes
353	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (general case)	✓	5.795	✓	7.003	Yes
354	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (special case)	✓	94.767	✓	4.104	Yes	Yes
355	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (general case)	✓	49.358	✓	8.853	Yes
356	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, underdamped)	✓	112.752	✓	5.928	Yes	Yes
357	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, critical damped)	✓	112.322	✓	7.007	Yes	Yes
358	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, over damped)	✓	114.153	✓	6.029	Yes	Yes
359	Wave PDE in 1D Finite length string	I.C. at different times, right end free, with source	✗	1.199	✓	60.707	Yes
360	Wave PDE in 1D Finite length string	Right end oscillates	✓	95.279	✓	9.051
361	Wave PDE in 1D Finite length string	Perioidic B.C.	✗	7.374	✗	1.578
362	Wave PDE in 1D Finite length string	Mixed B.C.	✗	22.566	✗	2.016
363	Wave PDE in 1D Finite length string	Left end fixed, right end non-homogeneous Neumann BC. Zero initial conditions	✓	72.198	✓	8.039	Yes	Yes
364	Wave PDE in 1D Semi-infinite domain	Left end fixed, (general case)	✓	2.204	✗	1.63	Yes
365	Wave PDE in 1D Semi-infinite domain	Left end fixed with specific initial position	✓	13.27	✓	2.888	Yes
366	Wave PDE in 1D Semi-infinite domain	Logan page 115, left end fixed with source	✓	0.169	✓	1.659
367	Wave PDE in 1D Semi-infinite domain	Left moving boundary condition	✓	7.618	✓	1.341
368	Wave PDE in 1D Semi-infinite domain	moving Left end	✓	13.244	✓	1.02
369	Wave PDE in 1D Semi-infinite domain	I.C. at \(t=1\)	✓	9.057	✓	0.283
370	Wave PDE in 1D Semi-infinite domain	B.C. at \(x=1\)	✓	71.399	✓	0.565
371	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (general solution)	✓	5.943	✓	0.347
372	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (Special solution)	✓	3.816	✓	0.73	Yes	Yes
373	Wave PDE in 1D Semi-infinite domain	Left end fixed. zero initial velocity (Special solution)	✓	2.893	✓	0.72	Yes	Yes
374	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial position (general solution)	✓	7.456	✓	0.349
375	Wave PDE in 1D Semi-infinite domain	Left end free. Non zero initial position and velocity (general solution)	✓	30.559	✓	0.332
376	Wave PDE in 1D Semi-infinite domain	Left end free with source	✓	0.156	✓	0.253
377	Wave PDE in 1D Infinite domain	General case. \(u_{tt} = u_{xx}\) with \(u(x,0)=f(x),u_t(x,0)=g(x)\)	✓	0.017	✓	0.108
378	Wave PDE in 1D Infinite domain	General case. No IC given. \(u_{tt} + u_{xt} = c^2 u_{xx}\)	✓	0.004	✓	0.178
379	Wave PDE in 1D Infinite domain	\(u_{tt}= c^2 u_{xx} + f(x,t)\), IC at \(t=1\),\(u(x,1) = g(x),u_t(x,1)=h(x)\)	✓	0.149	✓	2.117
380	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	✓	0.095
381	Wave PDE in 1D Infinite domain	With source term. \(u_{tt} = u_{xx} + m\)	✓	0.01	✓	0.088
382	Wave PDE in 1D Infinite domain	non-linear (Solitons) \(u_t +6 u(x,t) u_x + u_{xxx} = 0\)	✓	0.028	✓	0.132	Yes	Yes
383	Wave PDE in 1D Infinite domain	Inhomogeneous PDE \(3 u_{xx}- u_{tt} + u_{xt}=1\)	✓	0.003	✓	0.095
384	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.028	✓	0.075
385	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.002	✓	0.041
386	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	71.005	✓	0.113
387	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.002	✓	0.043	Yes	Yes
388	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.004	✓	0.766	Yes	Yes
389	Wave PDE in 1D Infinite domain	General case \(u_{tt} = u_{xx}\) with \(u(x,0)=\sin x, u_t(x,0)=-2 x e^{-x^2}\)	✓	0.104	✓	0.079
390	Wave PDE in 1D Infinite domain	General case. \(u_{tt} =u_{xx}\) dAlembert solution, box function as initial position	✓	0.003	✓	0.073	Yes	Yes
391	Wave PDE in 1D Infinite domain	\(u_{tt}=4 u_{xx}+ \cos (t)\) dAlembert solution with \(u(x,0)=\sin x,u_t(x,0)=\cos x\)	✓	0.093	✓	0.115	Yes	Yes
392	Wave PDE in 1D Infinite domain	\(u_{tt}=c^2 u_{xx}\) dAlembert solution with \(u(x,0)=\delta (x-a),u_t(x,0)=0\)	✓	0.472	✓	0.125	Yes
393	Wave PDE in 1D Infinite domain	system of 2 inhomogeneous linear hyperbolic system with constant coefficients	✓	0.262	✗	0.371
394	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, General solution	✗	2.344	✓	435.606	Yes
395	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, zero velocity. Specific example	✗	0.424	✓	6.533	Yes	Yes
396	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example	✓	35.568	✓	12.471	Yes	Yes
397	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example, delta in center	✓	9.778	✓	13.637	Yes	Yes
398	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed	✓	5.245	✓	6.812
399	Wave PDE in 2D Cartesian coordinates	All edges fixed (Haberman 8.5.5 (a)	✓	27.223	✗	1.017
400	Wave PDE in 2D Cartesian coordinates	2 edgs fixed, 2 free, zero initial velocity	✓	6.344	✓	11.118
401	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, general solution	✓	1.434	✗ (Timed out)	600.	Yes
402	Wave PDE in 2D Cartesian coordinates	With damping	✓	9.472	✓	28.236
403	Wave PDE in 2D Cartesian coordinates	On the whole plane	✓	0.133	✗	0.161
404	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency, fixed boundary, general case	✓	31.99	✓ Has unresolved Invlaplace calls	4.367	Yes
405	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	31.872	✓ Has unresolved Invlaplace calls	51.951
406	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	31.175	✓ Has unresolved Invlaplace calls. How to get series solution?	54.262	Yes	Yes
407	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	1.746	✓	16.58
408	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	1.853	✓	5.803
409	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, general solution	✓	9.756	✗	6.959	Yes
410	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, general solution	✓	4.485	✗	6.933	Yes
411	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, specific example	✓	15.091	✗	6.368	Yes	Yes
412	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position, specific example	✓	7.533	✗	5.072	Yes	Yes
413	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position with internal source (Haberman 8.5.5. (b)	✗	0.038	✗	4.683	Yes
414	Wave PDE in 3D Spherical coordinates	No I.C. no B.C.	✓	0.038	✓	5.734
415	Wave PDE in 3D Cylindrical coordinates	No I.C. no B.C.	✓	0.006	✓	0.309

Handbook of first order partial differential equations

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
416	chapter 1	problem number 1	✓	0.005	✓	0.054
417	chapter 1	problem number 2	✓	0.003	✓	0.086
418	chapter 1	problem number 3	✓	0.008	✓	0.004	Yes
419	chapter 1	problem number 4	✓	0.006	✓	0.002
420	chapter 1	problem number 5	✓	0.022	✓	0.017	Yes
421	chapter 1	problem number 6	✓	0.021	✓	0.011
422	chapter 2 2.1	problem number 1	✓	0.004	✓	0.034	Yes
423	chapter 2 2.1	problem number 2	✓	0.005	✓	0.034	Yes
424	chapter 2 2.1	problem number 3	✓	0.037	✓	0.098	Yes
425	chapter 2 2.1	problem number 4	✓	0.009	✓	0.079	Yes
426	chapter 2 2.1	problem number 5	✓	0.014	✓	0.194	Yes
427	chapter 2 2.1	problem number 6	✓	0.032	✓	0.144	Yes
428	chapter 2 2.1	problem number 7	✓	0.034	✓	1.7	Yes
429	chapter 2 2.1	problem number 8	✗	1.635	✓	2.312
430	chapter 2 2.2	problem number 1	✓	0.006	✓	0.008
431	chapter 2 2.2	problem number 2	✓	0.192	✓	0.184
432	chapter 2 2.2	problem number 3	✓	0.084	✓	0.048
433	chapter 2 2.2	problem number 4	✓	0.257	✓	0.177
434	chapter 2 2.2	problem number 5	✓	0.203	✓	0.215
435	chapter 2 2.2	problem number 6	✓	0.297	✓	0.121
436	chapter 2 2.2	problem number 7	✓	0.298	✓	0.237
437	chapter 2 2.2	problem number 8	✓	0.415	✓	0.143
438	chapter 2 2.2	problem number 9	✓	0.229	✓	0.28
439	chapter 2 2.2	problem number 10	✓	0.144	✓	0.141
440	chapter 2 2.2	problem number 11	✓	0.25	✓	0.148
441	chapter 2 2.2	problem number 12	✓	0.611	✓	0.56
442	chapter 2 2.2	problem number 13	✓	0.088	✓	0.013
443	chapter 2 2.2	problem number 14	✓	0.223	✓	0.314
444	chapter 2 2.2	problem number 15	✓	0.57	✓	0.306
445	chapter 2 2.2	problem number 16	✓	1.123	✓	0.312
446	chapter 2 2.2	problem number 17	✓	0.916	✓	0.498
447	chapter 2 2.2	problem number 18	✓	0.257	✓	0.076
448	chapter 2 2.2	problem number 19	✓	0.266	✓	0.245
449	chapter 2 2.2	problem number 20	✗	0.18	✓	0.366
450	chapter 2 2.2	problem number 21	✓	0.166	✓	0.257
451	chapter 2 2.2	problem number 22	✓	0.329	✓	0.818
452	chapter 2 2.2	problem number 23	✓	0.393	✓	0.442
453	chapter 2 2.2	problem number 24	✗	0.24	✓	0.318
454	chapter 2 2.2	problem number 25	✗ (Timed out)	600.	✗ (Timed out)	600.
455	chapter 2 2.2	problem number 26	✗ (Timed out)	600.	✗	34.752
456	chapter 2 2.2	problem number 27	✗	101.746	✗	1.865
457	chapter 2 2.2	problem number 28	✗	0.481	✓ solution contains RootOf	0.234
458	chapter 2 2.2	problem number 29	✗	101.391	✗	1.419
459	chapter 2 2.2	problem number 30	✗	0.242	✓	0.362
460	chapter 2 2.2	problem number 31, Hesse’s equation	✗	235.674	✓	11.818
461	chapter 2 2.3	problem number 1	✓ But it can’t solve it when assuming \(b>0\) which is strange.	0.436	✓	1.765
462	chapter 2 2.3	problem number 2	✓	0.057	✓	0.231
463	chapter 2 2.3	problem number 3	✓	0.147	✓	1.083
464	chapter 2 2.3	problem number 4	✗	0.171	✓	1.806
465	chapter 2 2.3	problem number 5	✗	0.558	✓ Answer contains RootOf	0.356
466	chapter 2 2.3	problem number 6	✗	0.199	✓ Answer contains RootOf	0.163
467	chapter 2 2.3	problem number 7	✓	0.175	✓	0.177
468	chapter 2 2.3	problem number 8	✓	0.236	✓	0.087
469	chapter 2 2.3	problem number 9	✗ (Timed out)	600.	✓	0.066
470	chapter 2 2.4	problem number 1	✓	0.022	✓	0.022
471	chapter 2 2.4	problem number 2	✓	0.24	✓	0.536
472	chapter 2 2.4	problem number 3	✓	0.179	✓	0.408
473	chapter 2 2.4	problem number 4	✓	0.417	✓	4.27
474	chapter 2 2.4	problem number 5	✗	0.378	✗ (Timed out)	600.
475	chapter 2 2.4	problem number 6	✓	1.931	✓	0.789
476	chapter 2 2.4	problem number 7	✗	1.47	✓	3.456
477	chapter 2 2.5	problem number 1	✓	0.035	✓	0.238
478	chapter 2 2.5	problem number 2	✓	0.103	✓	0.495
479	chapter 2 2.5	problem number 3	✓	0.156	✓	0.16
480	chapter 2 2.5	problem number 4	✗	20.04	✓	3.187
481	chapter 2 2.5	problem number 5	✓	0.833	✓	0.499
482	chapter 2 2.5	problem number 6	✗	1.629	✓	2.949
483	chapter 2 2.5	problem number 7	✓	0.272	✓	0.23
484	chapter 2 2.5	problem number 8	✗	23.153	✓	4.261
485	chapter 2 2.5	problem number 9	✗	1.042	✓	9.277
486	chapter 2 2.5	problem number 10	✗	2.712	✓	5.511
487	chapter 2 2.5	problem number 11	✗	25.715	✗	10.162
488	chapter 2 2.5	problem number 12	✗	24.984	✗	5.707
489	chapter 2 2.5	problem number 13	✗	30.105	✗	10.93
490	chapter 2 2.5	problem number 14	✗	0.291	✓ Solution contains RootOf	0.343
491	chapter 2 2.5	problem number 15	✓	0.557	✓	2.651
492	chapter 2 2.5	problem number 16	✗	76.974	✗	47.546
493	chapter 2 2.5	problem number 17	✗	0.242	✓	1.447
494	chapter 2 2.5	problem number 18	✗	0.472	✓	1.455
495	chapter 2 2.5	problem number 19	✓	0.314	✓	1.607
496	chapter 2 2.5	problem number 20	✓	0.214	✓	0.391
497	chapter 2 2.5	problem number 21	✓	0.519	✓	0.303
498	chapter 2 2.5	problem number 22	✓	0.371	✓	0.199
499	chapter 2 2.5	problem number 23	✗	26.67	✓	0.202
500	chapter 2 2.5	problem number 24	✓	0.258	✓	0.176
501	chapter 2 2.5	problem number 25	✓	0.504	✓	0.142
502	chapter 2 2.5	problem number 26	✓	0.724	✓	0.279
503	chapter 2 2.5	problem number 27	✓	0.318	✓	0.226
504	chapter 2 2.5	problem number 28	✗	0.402	✓ Solution contains RootOf	0.285
505	chapter 2 2.5	problem number 29	✗	0.3	✓ Solution contains RootOf	0.175
506	chapter 2 2.5	problem number 30	✗	0.524	✓	6.109
507	chapter 2 2.5	problem number 31	✗	19.565	✓	2.347
508	chapter 2 2.5	problem number 32	✗ (Timed out)	600.	✗	25.723
509	chapter 2 2.5	problem number 33	✓	0.446	✓	0.523
510	chapter 2 2.5	problem number 34	✓	0.418	✓	0.22
511	chapter 2 2.5	problem number 35	✓	0.179	✓	0.308
512	chapter 2 2.5	problem number 36	✓	0.171	✓	0.438
513	chapter 2 2.5	problem number 37	✓	0.43	✓	0.97
514	chapter 2 2.5	problem number 38	✓	2.002	✓	0.513
515	chapter 2 2.5	problem number 39	✓	0.095	✓	0.391
516	chapter 2 2.5	problem number 40	✗ (Timed out)	600.	✗	28.953
517	chapter 2 2.5	problem number 41	✓	0.954	✓	0.582
518	chapter 2 2.5	problem number 42	✗	4.446	✓	5.985
519	chapter 2 2.5	problem number 43	✗	3.082	✓	5.28
520	chapter 2 2.5	problem number 44	✗	31.418	✗	24.503
521	chapter 2 2.5	problem number 45	✗	31.81	✗	31.58
522	chapter 2 2.5	problem number 46	✗	12.045	✓	14.473
523	chapter 2 2.5	problem number 47	✓	1.309	✓	0.317
524	chapter 2 2.5	problem number 48	✗	39.873	✓	2.798
525	chapter 2 2.5	problem number 49	✗	27.643	✗	15.871
526	chapter 2 2.5	problem number 50	✗	127.452	✗	86.016
527	chapter 2 2.5	problem number 51	✗	0.851	✓	2.333
528	chapter 2 2.5	problem number 52	✗	11.496	✗	4.164
529	chapter 2 2.5	problem number 53	✗	0.713	✓	1.87
530	chapter 2 2.5	problem number 54	✗	0.784	✗	3.726
531	chapter 2 2.5	problem number 55	✗	26.232	✗	11.17
532	chapter 2 2.5	problem number 56	✗	1.286	✓	4.28
533	chapter 2 3.1	problem number 1	✓	0.014	✓	0.056
534	chapter 2 3.1	problem number 2	✓	0.019	✓	0.01
535	chapter 2 3.1	problem number 3	✓	0.181	✓	2.024
536	chapter 2 3.1	problem number 4	✓	0.31	✓	3.794
537	chapter 2 3.1	problem number 5	✗	0.915	✓	0.791
538	chapter 2 3.1	problem number 6	✓	0.217	✓	0.25
539	chapter 2 3.1	problem number 7	✓	0.181	✓	0.072
540	chapter 2 3.1	problem number 8	✓	0.512	✓ Has RootOf	3.69
541	chapter 2 3.1	problem number 9	✓	0.419	✓	0.76
542	chapter 2 3.1	problem number 10	✗	0.473	✓	4.106
543	chapter 2 3.1	problem number 11	✗	2.676	✗	3.44
544	chapter 2 3.2	problem number 1	✓	0.729	✓	0.618
545	chapter 2 3.2	problem number 2	✓	1.064	✓	1.614
546	chapter 2 3.2	problem number 3	✓	0.406	✓	0.254
547	chapter 2 3.2	problem number 4	✓	0.499	✓	0.342
548	chapter 2 3.2	problem number 5	✓	0.294	✓	0.27
549	chapter 2 3.2	problem number 6	✗	23.055	✗	7.933
550	chapter 2 3.2	problem number 7	✓	0.395	✓	0.282
551	chapter 2 3.2	problem number 8	✗	0.878	✓	0.148
552	chapter 2 3.2	problem number 9	✓	1.35	✓	1.008
553	chapter 2 3.2	problem number 10	✓	1.195	✓	0.958
554	chapter 2 3.2	problem number 11	✗	22.463	✓	1.22
555	chapter 2 3.2	problem number 12	✓	2.331	✓	0.256
556	chapter 2 3.2	problem number 13	✓	0.662	✓	0.141
557	chapter 2 3.2	problem number 14	✗	24.232	✗	6.433
558	chapter 2 3.2	problem number 15	✗	2.843	✓	4.109
559	chapter 2 3.2	problem number 16	✗	22.886	✗	5.974
560	chapter 2 3.2	problem number 17	✗	1.734	✓	1.899
561	chapter 2 3.2	problem number 18	✗	23.292	✗	5.075
562	chapter 2 3.2	problem number 19	✓	0.461	✓	0.231
563	chapter 2 3.2	problem number 20	✗	23.16	✗	5.624
564	chapter 2 3.2	problem number 21	✗	25.166	✗	5.239
565	chapter 2 3.2	problem number 22	✓	2.748	✓	0.361
566	chapter 2 3.2	problem number 23	✓	0.709	✓	0.271
567	chapter 2 3.2	problem number 24	✗	21.69	✗	3.894
568	chapter 2 3.2	problem number 25	✓	0.428	✓	0.283
569	chapter 2 3.2	problem number 26	✓	0.441	✓	0.25
570	chapter 2 3.2	problem number 27	✗	0.984	✓ Solution contains RootOf	0.366
571	chapter 2 3.2	problem number 28	✓	0.51	✓	0.333
572	chapter 2 3.2	problem number 29	✓	0.358	✓	0.286
573	chapter 2 3.2	problem number 30	✓	3.748	✓	0.274
574	chapter 2 3.2	problem number 31	✗	140.902	✓	13.871
575	chapter 2 3.2	problem number 32	✓	0.228	✓	0.309
576	chapter 2 3.2	problem number 33	✗	0.291	✓	0.773
577	chapter 2 3.2	problem number 34	✗	1.213	✓	6.679
578	chapter 2 3.2	problem number 35	✗	0.815	✓	4.316
579	chapter 2 3.2	problem number 36	✗	0.88	✓	8.51
580	chapter 2 4.1	problem number 1	✓	0.016	✓	0.084
581	chapter 2 4.1	problem number 2	✓	0.11	✓	0.662
582	chapter 2 4.1	problem number 3	✓	2.997	✓	3.813
583	chapter 2 4.1	problem number 4	✗	42.994	✓	0.752
584	chapter 2 4.1	problem number 5	✗	56.807	✓	5.008
585	chapter 2 4.1	problem number 6	✓	0.202	✓	0.164
586	chapter 2 4.1	problem number 7	✓	0.027	✓	0.053
587	chapter 2 4.2	problem number 1	✓	0.012	✓	0.011
588	chapter 2 4.2	problem number 2	✓	0.09	✓	2.016
589	chapter 2 4.2	problem number 3	✗	61.699	✓	4.779
590	chapter 2 4.2	problem number 4	✗	62.58	✓	4.01
591	chapter 2 4.2	problem number 5	✗	1.647	✓	2.587
592	chapter 2 4.2	problem number 6	✗	2.824	✓	9.597
593	chapter 2 4.2	problem number 7	✗	476.721	✓	2.707
594	chapter 2 4.2	problem number 8	✓	0.193	✓	0.184
595	chapter 2 4.3	problem number 1	✓	0.024	✓	0.044
596	chapter 2 4.3	problem number 2	✓	0.169	✓	0.002
597	chapter 2 4.3	problem number 3	✓	3.15	✓	1.537
598	chapter 2 4.3	problem number 4	✗	43.268	✓	3.774
599	chapter 2 4.3	problem number 5	✗	2.17	✓	3.011
600	chapter 2 4.3	problem number 6	✗	3.981	✓	4.908
601	chapter 2 4.3	problem number 7	✗	75.147	✓	2.689
602	chapter 2 4.3	problem number 8	✓	0.311	✓	0.21
603	chapter 2 4.4	problem number 1	✓	0.021	✓	0.013
604	chapter 2 4.4	problem number 2	✓	0.163	✓	3.922
605	chapter 2 4.4	problem number 3	✓	2.806	✓	1.538
606	chapter 2 4.4	problem number 4	✓	3.828	✓	1.14
607	chapter 2 4.5	problem number 1	✓	0.246	✓	0.717
608	chapter 2 4.5	problem number 2	✓	0.255	✓	0.185
609	chapter 2 4.5	problem number 3	✓	2.587	✓	1.07
610	chapter 2 4.5	problem number 4	✓	13.502	✓	7.724
611	chapter 2 4.5	problem number 5	✓	0.184	✓	0.116
612	chapter 2 4.5	problem number 6	✗	555.411	✓	4.893
613	chapter 2 5.1	problem number 1	✓	0.036	✓	0.046
614	chapter 2 5.1	problem number 3	✓	1.007	✓	0.057
615	chapter 2 5.1	problem number 4	✗	3.127	✓	0.185
616	chapter 2 5.2	problem number 1	✓	0.182	✓	0.303
617	chapter 2 5.2	problem number 2	✓	0.177	✓	0.178
618	chapter 2 5.2	problem number 3	✗	1.19	✓	0.364
619	chapter 2 5.2	problem number 4	✓	0.756	✓	0.402
620	chapter 2 5.2	problem number 5	✗	23.43	✗	5.095
621	chapter 2 5.2	problem number 6	✗	27.012	✓	2.14
622	chapter 2 5.2	problem number 7	✗	27.802	✗	3.566
623	chapter 2 5.2	problem number 8	✗	24.211	✗	2.997
624	chapter 2 5.2	problem number 9	✓	0.751	✓	0.314
625	chapter 2 5.2	problem number 10	✗	3.103	✓	1.469
626	chapter 2 5.2	problem number 11	✓	0.175	✓	0.282
627	chapter 2 5.2	problem number 12	✗	20.933	✗	1.661
628	chapter 2 5.2	problem number 13	✗	23.62	✗	2.585
629	chapter 2 5.2	problem number 14	✗	22.491	✗	1.441
630	chapter 2 5.2	problem number 15	✓	0.374	✓	1.123
631	chapter 2 5.2	problem number 16	✓	0.24	✓	0.11
632	chapter 2 5.2	problem number 17	✓	0.965	✓	0.392
633	chapter 2 5.2	problem number 18	✓	0.723	✓	0.898
634	chapter 2 5.2	problem number 19	✗	4.251	✓	2.186
635	chapter 2 5.2	problem number 20	✗	4.397	✓	3.35
636	chapter 2 5.2	problem number 21	✗	26.607	✓	0.294
637	chapter 2 5.2	problem number 22	✓	0.673	✓	1.107
638	chapter 2 5.2	problem number 23	✓	0.638	✓	0.526
639	chapter 2 6.1	problem number 1	✓	0.207	✓	0.273
640	chapter 2 6.1	problem number 2	✓ contains unresolved integral	5.743	✓ contains unresolved integral	0.948
641	chapter 2 6.1	problem number 3	✓	0.728	✓ contains unresolved integral	1.64
642	chapter 2 6.1	problem number 4	✗	11.456	✓ contains unresolved integral	1.556
643	chapter 2 6.1	problem number 5	✗	42.486	✓	4.093
644	chapter 2 6.1	problem number 6	✗	4.647	✓ contains unresolved integrals	0.412
645	chapter 2 6.1	problem number 7	✓	19.292	✓	4.365
646	chapter 2 6.1	problem number 8	✗	42.954	✓	0.519
647	chapter 2 6.1	problem number 9	✗	44.133	✓	11.444
648	chapter 2 6.1	problem number 10	✗	44.665	✓	3.807
649	chapter 2 6.1	problem number 11	✗	34.658	✓	8.822
650	chapter 2 6.1	problem number 12	✗	163.287	✗ (Timed out)	600.
651	chapter 2 6.1	problem number 13	✓	0.697	✓	1.572
652	chapter 2 6.1	problem number 14	✗	12.649	✓	2.075
653	chapter 2 6.2	problem number 1	✓	0.242	✓ Contains unresolved integral	0.218
654	chapter 2 6.2	problem number 2	✓	3.989	✓	0.368
655	chapter 2 6.2	problem number 3	✓	0.759	✓	1.661
656	chapter 2 6.2	problem number 4	✗	9.317	✓	0.775
657	chapter 2 6.2	problem number 5	✗	42.201	✓	0.686
658	chapter 2 6.2	problem number 6	✗	42.618	✓	0.426
659	chapter 2 6.2	problem number 7	✗	44.9	✓	1.102
660	chapter 2 6.2	problem number 8	✗	44.741	✓	1.052
661	chapter 2 6.2	problem number 9	✗	125.717	✓	2.889
662	chapter 2 6.2	problem number 10	✗	1.971	✓	3.074
663	chapter 2 6.2	problem number 11	✗	1.51	✓	9.432
664	chapter 2 6.2	problem number 12	✗	48.742	✓	3.083
665	chapter 2 6.3	problem number 1	✓	0.041	✓	0.011
666	chapter 2 6.3	problem number 2	✓	0.349	✓	0.156
667	chapter 2 6.3	problem number 3	✓	0.463	✓ Has unresolved integrals	0.926
668	chapter 2 6.3	problem number 4	✗	43.831	✓	0.546
669	chapter 2 6.3	problem number 5	✗	45.823	✓	0.561
670	chapter 2 6.3	problem number 6	✓	2.498	✓	1.215
671	chapter 2 6.3	problem number 7	✗	37.491	✗ (Timed out)	600.
672	chapter 2 6.3	problem number 8	✗	43.819	✗ (Timed out)	600.
673	chapter 2 6.3	problem number 9	✗	169.279	✗ (Timed out)	600.
674	chapter 2 6.3	problem number 10	✓	0.767	✓	1.043
675	chapter 2 6.3	problem number 11	✗	83.508	✓	8.859
676	chapter 2 6.3	problem number 12	✗	19.83	✓	2.817
677	chapter 2 6.3	problem number 13	✗	1.884	✓	2.791
678	chapter 2 6.3	problem number 14	✗	1.638	✓	4.523
679	chapter 2 6.3	problem number 15	✗	22.467	✓	2.591
680	chapter 2 6.4	problem number 1	✓	0.184	✓ Has unresolved integral	0.296
681	chapter 2 6.4	problem number 2	✓	1.84	✓	0.293
682	chapter 2 6.4	problem number 3	✗	7.713	✓	0.606
683	chapter 2 6.4	problem number 4	✗	43.751	✓	0.761
684	chapter 2 6.4	problem number 5	✗	45.82	✓	0.458
685	chapter 2 6.4	problem number 6	✓	0.577	✓	0.125
686	chapter 2 6.4	problem number 7	✓	0.554	✓	0.688
687	chapter 2 6.4	problem number 8	✓	0.525	✓	0.283
688	chapter 2 6.4	problem number 9	✓	1.962	✓	0.285
689	chapter 2 6.4	problem number 10	✓	2.138	✓	3.332
690	chapter 2 6.4	problem number 11	✓	0.549	✓	0.27
691	chapter 2 6.4	problem number 12	✗	6.705	✓	0.803
692	chapter 2 6.5	problem number 1	✓	0.728	✓ Has unresolved integrals	0.998
693	chapter 2 6.5	problem number 2	✓	1.581	✓	0.535
694	chapter 2 6.5	problem number 3	✓	0.77	✓ Mathematica answer is simpler	0.755
695	chapter 2 6.5	problem number 4	✗	24.792	✗ (Timed out)	600.
696	chapter 2 6.5	problem number 5	✗	43.566	✓	0.452
697	chapter 2 6.5	problem number 6	✗	64.853	✓	1.061
698	chapter 2 6.5	problem number 7	✗	122.333	✗ (Timed out)	600.
699	chapter 2 6.5	problem number 8	✗	26.04	✓	0.812
700	chapter 2 6.5	problem number 9	✗	24.479	✓	0.003
701	chapter 2 6.5	problem number 10	✗	2.264	✓	1.171
702	chapter 2 6.5	problem number 11	✗ (Timed out)	600.	✓	1.122
703	chapter 2 7.1	problem number 1	✓	0.098	✓	0.163
704	chapter 2 7.1	problem number 2	✓	3.279	✓	0.148
705	chapter 2 7.1	problem number 3	✗	0.54	✓	0.339
706	chapter 2 7.1	problem number 4	✓	0.137	✓	0.177
707	chapter 2 7.1	problem number 5	✗	1.66	✓	0.731
708	chapter 2 7.1	problem number 6	✓	0.493	✓	1.43
709	chapter 2 7.1	problem number 7	✗	27.321	✓	10.74
710	chapter 2 7.1	problem number 8	✗	1.369	✓	0.709
711	chapter 2 7.1	problem number 9	✗	57.191	✗	63.67
712	chapter 2 7.1	problem number 10	✗	37.34	✗	77.357
713	chapter 2 7.1	problem number 11	✓	1.957	✓	0.215
714	chapter 2 7.1	problem number 12	✓	1.107	✓	0.918
715	chapter 2 7.2	problem number 1	✓	0.101	✓	0.092
716	chapter 2 7.2	problem number 2	✓	5.116	✓	0.11
717	chapter 2 7.2	problem number 3	✗	13.883	✓	0.212
718	chapter 2 7.2	problem number 4	✓	0.301	✓	0.224
719	chapter 2 7.2	problem number 5	✗	5.488	✓	9.971
720	chapter 2 7.2	problem number 6	✗	29.587	✗	15.862
721	chapter 2 7.2	problem number 7	✗	43.979	✓	4.598
722	chapter 2 7.2	problem number 8	✗	7.341	✓	9.582
723	chapter 2 7.2	problem number 9	✗	39.837	✗	68.049
724	chapter 2 7.2	problem number 10	✗	40.847	✗	74.751
725	chapter 2 7.2	problem number 11	✓	2.122	✓	0.217
726	chapter 2 7.2	problem number 12	✓	1.284	✓	0.735
727	chapter 2 7.3	problem number 1	✓	0.62	✓	0.245
728	chapter 2 7.3	problem number 2	✓	4.218	✓	0.246
729	chapter 2 7.3	problem number 3	✗	15.259	✓	0.451
730	chapter 2 7.3	problem number 4	✓	0.449	✓	0.428
731	chapter 2 7.3	problem number 5	✗	7.173	✓	1.811
732	chapter 2 7.3	problem number 6	✓	2.392	✓	0.892
733	chapter 2 7.3	problem number 7	✗	44.53	✓	22.969
734	chapter 2 7.3	problem number 8	✓	0.259	✓	0.253
735	chapter 2 7.3	problem number 9	✗	41.124	✗	16.494
736	chapter 2 7.3	problem number 10	✗	45.236	✗	672.671
737	chapter 2 7.3	problem number 11	✓	0.995	✓	0.231
738	chapter 2 7.3	problem number 12	✓	0.89	✓	2.904
739	chapter 2 7.4	problem number 1	✓	0.7	✓	0.173
740	chapter 2 7.4	problem number 2	✓	7.026	✓	0.112
741	chapter 2 7.4	problem number 3	✗	19.833	✓	0.237
742	chapter 2 7.4	problem number 4	✓	0.496	✓	0.234
743	chapter 2 7.4	problem number 5	✗	7.248	✓	2.401
744	chapter 2 7.4	problem number 6	✓	2.47	✓	1.276
745	chapter 2 7.4	problem number 7	✗	45.471	✓	26.794
746	chapter 2 7.4	problem number 8	✗	37.1	✗	9.037
747	chapter 2 7.4	problem number 9	✗	41.424	✗	35.332
748	chapter 2 7.4	problem number 10	✗	45.409	✗	454.78
749	chapter 2 7.4	problem number 11	✓	1.062	✓	0.23
750	chapter 2 7.4	problem number 12	✓	1.168	✓	4.966
751	chapter 2 8.1	problem number 1	✓	0.074	✓	0.041
752	chapter 2 8.1	problem number 2	✓	0.282	✓	0.122
753	chapter 2 8.1	problem number 3	✗	0.574	✓	0.086
754	chapter 2 8.1	problem number 4	✓	0.255	✓	0.084
755	chapter 2 8.1	problem number 5	✗	25.238	✓	0.601
756	chapter 2 8.1	problem number 6	✗	0.831	✓	0.082
757	chapter 2 8.1	problem number 7	✗	24.39	✗	2.917
758	chapter 2 8.1	problem number 8	✗	24.507	✗	2.457
759	chapter 2 8.1	problem number 9	✗	0.869	✓	0.085
760	chapter 2 8.1	problem number 10	✗	29.801	✗	7.184
761	chapter 2 8.1	problem number 11	✗	28.495	✗	7.037
762	chapter 2 8.1	problem number 12	✓	0.286	✓	0.148
763	chapter 2 8.1	problem number 13	✓	2.515	✓	0.104
764	chapter 2 8.2	problem number 1	✓	1.144	✓	0.433
765	chapter 2 8.2	problem number 2	✗	22.017	✗	2.782
766	chapter 2 8.2	problem number 3	✗	22.091	✗	2.839
767	chapter 2 8.2	problem number 4	✓	0.331	✓	0.136
768	chapter 2 8.2	problem number 5	✗	23.969	✗	3.669
769	chapter 2 8.2	problem number 6	✗	1.229	✓	0.079
770	chapter 2 8.2	problem number 7	✗	27.116	✗	6.466
771	chapter 2 8.2	problem number 8	✗	27.647	✗	4.553
772	chapter 2 8.2	problem number 9	✗	23.944	✗	4.418
773	chapter 2 8.2	problem number 10	✓	0.357	✓	0.131
774	chapter 2 8.2	problem number 11	✗	0.333	✓	0.316
775	chapter 2 8.3	problem number 1	✗	27.623	✗	12.387
776	chapter 2 8.3	problem number 2	✗	31.157	✗	113.715
777	chapter 2 8.3	problem number 3	✗	30.905	✗	7.737
778	chapter 2 8.4	problem number 1	✗	21.981	✓	0.803
779	chapter 2 8.4	problem number 2	✗	21.245	✗	2.391
780	chapter 2 8.4	problem number 3	✗	21.248	✗	0.985
781	chapter 2 8.4	problem number 4	✓	0.199	✓	0.057
782	chapter 2 8.5	problem number 1	✗	26.719	✓	2.365
783	chapter 2 8.5	problem number 2	✗	27.151	✗	13.771
784	chapter 2 8.5	problem number 3	✗	27.012	✗	9.12
785	chapter 2 8.5	problem number 4	✗	30.306	✗	26.362
786	chapter 2 8.5	problem number 5	✗	30.761	✗	10.717
787	chapter 2 8.6	problem number 1	✗	20.781	✗	1.883
788	chapter 2 8.6	problem number 2	✗	20.889	✓	0.381
789	chapter 2 8.6	problem number 3	✓	0.139	✓	0.038
790	chapter 2 8.6	problem number 4	✗	0.388	✓	0.339
791	chapter 2 8.6	problem number 5	✗	21.217	✗	2.154
792	chapter 2 8.6	problem number 6	✗	0.268	✓	0.093
793	chapter 2 8.6	problem number 7	✗	0.342	✓	0.088
794	chapter 2 8.6	problem number 8	✓	0.266	✓	0.107
795	chapter 2 8.6	problem number 9	✗	0.668	✓	0.135
796	chapter 2 8.6	problem number 10	✗	1.611	✓	0.225
797	chapter 2 8.6	problem number 11	✓	0.35	✓	0.128
798	chapter 2 8.6	problem number 12	✗	22.724	✓	0.868
799	chapter 2 9.1	problem number 1	✓	0.067	✓	0.024
800	chapter 2 9.1	problem number 2	✗	0.139	✓	0.103
801	chapter 2 9.1	problem number 3	✗	0.428	✓	0.387
802	chapter 2 9.1	problem number 4	✗	0.823	✗	0.801
803	chapter 2 9.1	problem number 5	✗	3.087	✗	3.237
804	chapter 2 9.2	problem number 1	✗	0.203	✓	0.059
805	chapter 2 9.2	problem number 2	✗	0.057	✓	0.054
806	chapter 2 9.2	problem number 3	✗	0.364	✓	0.197
807	chapter 2 9.2	problem number 4	✗	0.263	✓	0.142
808	chapter 2 9.2	problem number 5	✗	0.578	✗	2.922
809	chapter 2 9.2	problem number 6	✗	0.326	✓	0.092
810	chapter 2 9.2	problem number 7	✗	0.464	✓	0.114
811	chapter 2 9.2	problem number 8	✗	0.223	✓	0.135
812	chapter 2 9.2	problem number 9	✗	0.283	✓	0.127
813	chapter 2 9.2	problem number 10	✗	0.608	✓	0.535
814	chapter 2 9.2	problem number 11	✗	0.358	✓	0.375
815	chapter 2 9.2	problem number 12	✗	1.725	✗	2.747
816	chapter 2 9.2	problem number 13	✗	2.484	✗	1.421
817	chapter 2 9.2	problem number 14	✗	0.809	✓	0.517
818	chapter 2 9.2	problem number 15	✗	0.314	✓	0.236
819	chapter 2 9.2	problem number 16	✗	0.461	✓	0.164
820	chapter 2 9.3	problem number 1	✗	5.951	✓	3.815
821	chapter 2 9.3	problem number 2	✗	5.223	✗	2.259
822	chapter 2 9.3	problem number 3	✗	14.126	✗	5.605
823	chapter 2 9.3	problem number 4	✗	3.136	✗	6.155
824	chapter 2 9.3	problem number 5	✗	3.469	✗	6.455
825	chapter 2 9.3	problem number 6	✗	27.869	✗	5.726
826	chapter 2 9.3	problem number 7	✗	27.08	✗	5.028
827	chapter 2 9.3	problem number 8	✗	14.517	✗	8.891
828	chapter 2 9.3	problem number 9	✓	0.081	✓	0.028
829	chapter 2 9.3	problem number 11	✗	0.347	✓	0.325
830	chapter 2 9.3	problem number 12	✗	4.493	✓	5.684
831	chapter 2 9.3	problem number 13	✗	13.052	✗	3.152
832	chapter 2 9.3	problem number 14	✗	12.946	✗	3.445
833	chapter 2 9.3	problem number 15	✗	21.734	✗	3.81
834	chapter 2 9.3	problem number 16	✗	20.969	✗	4.377
835	chapter 2 9.3	problem number 17	✗	4.756	✗	2.246
836	chapter 2 9.3	problem number 18	✗	31.321	✗	3.857
837	chapter 2 9.3	problem number 19	✗	30.729	✗	3.839
838	chapter 2 9.3	problem number 20	✗	39.931	✗	118.661
839	chapter 2 9.3	problem number 21	✗	84.061	✗	32.766
840	chapter 2 9.3	problem number 22	✗	12.714	✗	12.37
841	chapter 2 9.3	problem number 23	✗	7.812	✗	213.489
842	chapter 3 Examples	Example 1	✓	0.011	✓	0.033
843	chapter 3 Examples	Example 2	✓	0.024	✓	0.039
844	chapter 3 Examples	Example 3	✓	0.005	✓	0.01
845	chapter 3 2.1	Problem 1	✓	0.005	✓	0.009
846	chapter 3 2.1	Problem 2	✓	0.013	✓	0.018
847	chapter 3 2.1	Problem 3	✓	0.011	✓	0.019
848	chapter 3 2.1	Problem 4	✓	0.005	✓	0.007
849	chapter 3 2.1	Problem 5	✓	0.289	✓	0.06
850	chapter 3 2.1	Problem 6	✓	0.169	✓	0.072
851	chapter 3 2.1	Problem 7	✓	0.032	✓	0.04
852	chapter 3 2.1	Problem 8	✓	0.056	✓	0.026
853	chapter 3 2.2	Problem 1	✓	0.064	✓	0.019
854	chapter 3 2.2	Problem 2	✓	0.196	✓	0.035
855	chapter 3 2.2	Problem 3	✓	0.07	✓	0.025
856	chapter 3 2.2	Problem 4	✓	0.361	✓	0.044
857	chapter 3 2.2	Problem 5	✓	0.014	✓	0.026
858	chapter 3 2.2	Problem 6	✓	0.239	✓ Contains unresolved integral with RootOf	0.105
859	chapter 3 2.2	Problem 7	✓	0.059	✓	0.022
860	chapter 3 2.3	Problem 1	✓	0.016	✓	0.042
861	chapter 3 2.3	Problem 2	✓	0.134	✓	0.043
862	chapter 3 2.3	Problem 3	✓	0.134	✓	0.029
863	chapter 3 2.3	Problem 4	✓	0.561	✓	0.048
864	chapter 3 2.3	Problem 5	✓	0.009	✓	0.012
865	chapter 3 2.3	Problem 6	✓	0.096	✓	0.053
866	chapter 3 2.4	Problem 1	✓	0.075	✓	0.02
867	chapter 3 2.4	Problem 2	✓	0.028	✓	0.021
868	chapter 3 2.4	Problem 3	✓	0.016	✓	0.018
869	chapter 3 2.4	Problem 4	✓	0.022	✓	0.021
870	chapter 3 2.4	Problem 5	✓	0.047	✓ Result has unresolved integral	0.079
871	chapter 3 2.4	Problem 6	✓	0.1	✓ Result has unresolved integral	0.035
872	chapter 3 2.4	Problem 7	✓	0.845	✓ Result has unresolved integral	0.981
873	chapter 3 2.4	Problem 8	✓	1.223	✓ Result has unresolved integral	0.437
874	chapter 3 2.4	Problem 9	✓	3.699	✓	0.372
875	chapter 3 2.4	Problem 10	✗	2.147	✓	8.536
876	chapter 3 2.4	Problem 11	✓	0.464	✓	0.995
877	chapter 3 3.1	Problem 1	✓	0.048	✓	0.035
878	chapter 3 3.1	Problem 2	✓	0.033	✓	0.023
879	chapter 3 3.1	Problem 3	✓	0.215	✓	0.068
880	chapter 3 3.1	Problem 4	✓	0.212	✓	0.065
881	chapter 3 3.1	Problem 5	✓	0.308	✓	0.11
882	chapter 3 3.1	Problem 6	✓	0.322	✓	0.028
883	chapter 3 3.1	Problem 7	✓	0.669	✓	0.688
884	chapter 3 3.1	Problem 8	✗	3.291	✓	1.497
885	chapter 3 3.1	Problem 9	✗	1.213	✓	0.395
886	chapter 3 3.1	Problem 10	✓	1.79	✓	0.359
887	chapter 3 3.1	Problem 11	✓	0.525	✓	0.566
888	chapter 3 3.2	Problem 1	✓	0.135	✓	0.026
889	chapter 3 3.2	Problem 2	✓	0.015	✓	0.061
890	chapter 3 3.2	Problem 3	✓	0.044	✓	0.033
891	chapter 3 3.2	Problem 4	✓	0.417	✓	0.163
892	chapter 3 3.2	Problem 5	✓	0.63	✓	1.004
893	chapter 3 3.2	Problem 6	✓	0.021	✓	0.023
894	chapter 3 3.2	Problem 7	✓	0.029	✓	0.019
895	chapter 3 3.2	Problem 8	✓	0.269	✓	0.126
896	chapter 3 3.2	Problem 9	✓	0.392	✓	0.545
897	chapter 3 3.2	Problem 10	✓	0.293	✓	0.127
898	chapter 3 3.2	Problem 11	✓	2.845	✓	0.227
899	chapter 3 4.1	Problem 1	✓	0.059	✓	0.023
900	chapter 3 4.1	Problem 2	✓	0.084	✓	0.021
901	chapter 3 4.1	Problem 3	✗ (Timed out)	600.	✓	0.02
902	chapter 3 4.1	Problem 4	✗ (Timed out)	600.	✓	5.976
903	chapter 3 4.1	Problem 5	✓	15.662	✓	29.756
904	chapter 3 4.2	Problem 1	✓	0.064	✓	0.033
905	chapter 3 4.2	Problem 2	✓	0.086	✓	0.017
906	chapter 3 4.2	Problem 3	✓	0.293	✓	0.018
907	chapter 3 4.2	Problem 4	✗ (Timed out)	600.	✓	0.721
908	chapter 3 4.2	Problem 5	✓	153.407	✓	1.58
909	chapter 3 4.3	Problem 1	✓	0.154	✓	0.03
910	chapter 3 4.3	Problem 2	✓	0.086	✓	0.015
911	chapter 3 4.3	Problem 3	✓	0.044	✓	0.016
912	chapter 3 4.3	Problem 4	✓	532.373	✓	1.529
913	chapter 3 4.3	Problem 5	✓	213.981	✓	0.934
914	chapter 3 4.4	Problem 1	✓	0.189	✓	0.033
915	chapter 3 4.4	Problem 2	✓	0.102	✓	0.015
916	chapter 3 4.4	Problem 3	✓	0.048	✓	0.017
917	chapter 3 4.4	Problem 4	✓	554.339	✓	1.543
918	chapter 3 4.4	Problem 5	✓	227.004	✓	0.907
919	chapter 3 4.5	Problem 1	✓	0.063	✓	0.018
920	chapter 3 4.5	Problem 2	✓	0.168	✓	0.058
921	chapter 3 4.5	Problem 3	✓	0.08	✓	0.036
922	chapter 3 4.5	Problem 4	✓	0.161	✓	0.084
923	chapter 3 4.5	Problem 5	✓	0.147	✓	0.039
924	chapter 3 5.1	Problem 1	✓	0.062	✓	0.019
925	chapter 3 5.1	Problem 2	✓	0.022	✓	0.02
926	chapter 3 5.1	Problem 3	✓	0.259	✓	0.447
927	chapter 3 5.1	Problem 4	✓	1.7	✓	0.143
928	chapter 3 5.1	Problem 5	✓	0.915	✓	0.341
929	chapter 3 5.1	Problem 6	✗	0.279	✓	0.24
930	chapter 3 5.2	Problem 1	✓	0.065	✓	0.019
931	chapter 3 5.2	Problem 2	✓	0.179	✓ Result has unresolved integrals	0.553
932	chapter 3 5.2	Problem 3	✓	0.147	✓	0.297
933	chapter 3 5.3	Problem 4	✓	0.053	✓ Result has unresolved integrals	0.1
934	chapter 3 5.3	Problem 5	✓	0.054	✓	0.133
935	chapter 3 5.3	Problem 6	✓	1.56	✓	1.007
936	chapter 3 6.1	Problem 1	✓	0.06	✓	0.023
937	chapter 3 6.1	Problem 2	✓	0.087	✓	0.014
938	chapter 3 6.1	Problem 3	✓	0.033	✓	0.013
939	chapter 3 6.1	Problem 4	✓	235.788	✓	2.799
940	chapter 3 6.1	Problem 5	✓	86.777	✓ Result has unresolved integrals	3.668
941	chapter 3 6.2	Problem 1	✓	0.062	✓	0.027
942	chapter 3 6.2	Problem 2	✓	0.085	✓	0.018
943	chapter 3 6.2	Problem 3	✓	0.034	✓	0.017
944	chapter 3 6.2	Problem 4	✓	239.452	✓	1.421
945	chapter 3 6.2	Problem 5	✓	58.452	✓	2.355
946	chapter 3 6.3	Problem 1	✓	0.167	✓	0.024
947	chapter 3 6.3	Problem 2	✓	0.091	✓	0.015
948	chapter 3 6.3	Problem 3	✓	0.046	✓	0.014
949	chapter 3 6.3	Problem 4	✓	68.233	✓	2.122
950	chapter 3 6.3	Problem 5	✓	28.996	✓	2.794
951	chapter 3 6.4	Problem 1	✓	0.197	✓	0.049
952	chapter 3 6.4	Problem 2	✓	0.099	✓	0.016
953	chapter 3 6.4	Problem 3	✓	0.051	✓	0.013
954	chapter 3 6.4	Problem 4	✓	78.462	✓	2.266
955	chapter 3 6.4	Problem 5	✓	27.798	✓	2.359
956	chapter 3 6.5	Problem 1	✓	0.065	✓	0.017
957	chapter 3 6.5	Problem 2	✓	0.094	✓	0.039
958	chapter 3 6.5	Problem 3	✓	0.321	✓	0.03
959	chapter 3 6.5	Problem 4	✓	0.212	✓	0.132
960	chapter 3 6.5	Problem 5	✓	0.263	✓	0.317
961	chapter 3 6.5	Problem 6	✓	0.136	✓	0.113
962	chapter 3 7.1	Problem 1	✓	0.688	✓	0.156
963	chapter 3 7.1	Problem 2	✓	0.364	✓	0.047
964	chapter 3 7.1	Problem 3	✓	0.045	✓	0.017
965	chapter 3 7.1	Problem 4	✓	8.494	✓	0.775
966	chapter 3 7.1	Problem 5	✓	1.195	✓	0.499
967	chapter 3 7.2	Problem 1	✓	0.673	✓	0.021
968	chapter 3 7.2	Problem 2	✓	0.553	✓	0.015
969	chapter 3 7.2	Problem 3	✓	0.047	✓	0.013
970	chapter 3 7.2	Problem 4	✓	12.66	✓	0.603
971	chapter 3 7.2	Problem 5	✓	1.456	✓	0.392
972	chapter 3 7.3	Problem 1	✓	0.048	✓	0.172
973	chapter 3 7.3	Problem 2	✓	0.074	✓	0.074
974	chapter 3 7.3	Problem 3	✓	0.026	✓	0.033
975	chapter 3 7.3	Problem 4	✓	0.509	✓	2.353
976	chapter 3 7.3	Problem 5	✓	0.498	✓	1.211
977	chapter 3 7.4	Problem 1	✓	0.04	✓	0.056
978	chapter 3 7.4	Problem 2	✓	0.075	✓	0.021
979	chapter 3 7.4	Problem 3	✓	0.026	✓	0.032
980	chapter 3 7.4	Problem 4	✓	0.589	✓	1.388
981	chapter 3 7.4	Problem 5	✓	0.378	✓	0.641
982	chapter 3 8.1	Problem 1	✓	0.007	✓	0.013
983	chapter 3 8.1	Problem 2	✓	0.037	✓	0.016
984	chapter 3 8.1	Problem 3	✓	0.024	✓	0.024
985	chapter 3 8.1	Problem 4	✓	0.028	✓	0.049
986	chapter 3 8.1	Problem 5	✓	0.031	✓	0.024
987	chapter 3 8.1	Problem 6	✓	0.04	✓	0.02
988	chapter 3 8.1	Problem 7	✓	0.059	✓	0.056
989	chapter 3 8.1	Problem 8	✓	0.13	✓	0.034
990	chapter 3 8.1	Problem 9	✓	0.174	✓	0.019
991	chapter 3 8.1	Problem 10	✓	0.113	✓	0.013
992	chapter 3 8.1	Problem 11	✓	0.196	✓	0.213
993	chapter 3 8.1	Problem 12	✓	0.448	✓	0.099
994	chapter 3 8.1	Problem 13	✗	0.367	✓	0.366
995	chapter 3 8.1	Problem 14	✓	0.206	✓	0.198
996	chapter 3 8.1	Problem 15	✓	0.653	✓	0.283
997	chapter 3 8.1	Problem 16	✓	0.071	✓	0.02
998	chapter 3 8.2	Problem 1	✓	0.014	✓	0.022
999	chapter 3 8.2	Problem 2	✓	0.016	✓	0.015
1000	chapter 3 8.2	Problem 3	✓	0.049	✓	0.029
1001	chapter 3 8.2	Problem 4	✗	0.073	✓	0.051
1002	chapter 3 8.2	Problem 5	✓	0.464	✓	0.109
1003	chapter 3 8.2	Problem 6	✓	0.05	✓	0.015
1004	chapter 3 8.2	Problem 7	✗	0.165	✓	0.05
1005	chapter 3 8.3	Problem 1	✓	0.033	✓	0.017
1006	chapter 3 8.3	Problem 2	✓	0.008	✓	0.01
1007	chapter 3 8.3	Problem 3	✓	0.027	✓	0.017
1008	chapter 3 8.3	Problem 4	✓	0.05	✓	0.016
1009	chapter 3 8.3	Problem 5	✓	0.043	✓	0.18
1010	chapter 3 8.3	Problem 6	✓	0.067	✓	0.078
1011	chapter 3 8.3	Problem 7	✓	0.036	✓	0.02
1012	chapter 3 8.3	Problem 8	✓	0.156	✓	0.328
1013	chapter 3 8.4	Problem 1	✓	0.009	✓	0.015
1014	chapter 3 8.4	Problem 2	✓	0.037	✓	0.017
1015	chapter 3 8.4	Problem 3	✓	0.066	✓	0.03
1016	chapter 3 8.4	Problem 4	✓	0.18	✓	0.089
1017	chapter 3 8.4	Problem 5	✓	0.462	✓	0.176
1018	chapter 3 8.4	Problem 6	✗	0.412	✓	0.435
1019	chapter 3 8.4	Problem 7	✗	0.15	✓ Contains RootOf	0.031
1020	chapter 4 1.1	Example 1	✓	0.021	✓	0.023
1021	chapter 4 1.1	Example 2	✓	0.027	✓	0.018
1022	chapter 4 1.1	Example 3	✓	0.004	✓	0.01
1023	chapter 4 2.1	Problem 1	✓	0.005	✓	0.011
1024	chapter 4 2.1	Problem 2	✓	0.018	✓	0.014
1025	chapter 4 2.1	Problem 3	✓	0.008	✓	0.007
1026	chapter 4 2.1	Problem 4	✓	0.007	✓	0.017
1027	chapter 4 2.1	Problem 5	✓	0.008	✓	0.009
1028	chapter 4 2.1	Problem 6	✓	0.016	✓	0.012
1029	chapter 4 2.1	Problem 7	✗	0.12	✗	374.525
1030	chapter 4 2.2	Problem 1	✓	0.015	✓	0.03
1031	chapter 4 2.2	Problem 2	✓	0.014	✓	0.025
1032	chapter 4 2.2	Problem 3	✓	0.117	✓	0.037
1033	chapter 4 2.2	Problem 4	✓	0.109	✓	0.038
1034	chapter 4 2.2	Problem 5	✓	0.141	✓	0.042
1035	chapter 4 2.2	Problem 6	✓	0.055	✓	0.454
1036	chapter 4 2.2	Problem 7	✗	13.367	✓	0.808
1037	chapter 4 2.2	Problem 8	✗	1.794	✓	0.574
1038	chapter 4 2.3	Problem 1	✓	0.015	✓	0.033
1039	chapter 4 2.3	Problem 2	✓	0.016	✓	0.035
1040	chapter 4 2.3	Problem 3	✓	0.011	✓	0.019
1041	chapter 4 2.3	Problem 4	✓	0.093	✓	0.058
1042	chapter 4 2.3	Problem 5	✓	0.041	✓	0.047
1043	chapter 4 2.3	Problem 6	✓	0.121	✓	0.049
1044	chapter 4 2.4	Problem 1	✓	0.078	✓	0.025
1045	chapter 4 2.4	Problem 2 case \(n\neq -1, n\neq -2\)	✓	0.027	✓	0.056
1046	chapter 4 2.4	Problem 2 case \(n = -1\)	✓	0.014	✓	0.026
1047	chapter 4 2.4	Problem 2 case \(n = -2\)	✓	0.015	✓	0.026
1048	chapter 4 2.4	Problem 3	✓	0.017	✓	0.019
1049	chapter 4 2.4	Problem 4	✓	0.024	✓	0.021
1050	chapter 4 2.4	Problem 5	✓	0.049	✓	0.019
1051	chapter 4 2.4	Problem 6	✓	0.102	✓	0.027
1052	chapter 4 2.4	Problem 7	✓	0.749	✓	1.531
1053	chapter 4 2.4	Problem 8	✓	1.281	✓	0.732
1054	chapter 4 2.4	Problem 9	✓	3.555	✓	4.369
1055	chapter 4 2.4	Problem 10	✓	1.4	✓	10.892
1056	chapter 4 2.4	Problem 11	✓	0.444	✓	1.236
1057	chapter 4 2.4	Problem 12	✗	0.423	✓	0.294
1058	chapter 4 2.4	Problem 13	✗	0.407	✓	0.782
1059	chapter 4 3.1	Problem 1	✓	0.05	✓	0.026
1060	chapter 4 3.1	Problem 2	✓	0.053	✓	0.024
1061	chapter 4 3.1	Problem 3	✓	0.221	✓	0.059
1062	chapter 4 3.1	Problem 4	✓	0.237	✓	0.059
1063	chapter 4 3.1	Problem 5	✓	0.579	✓	0.271
1064	chapter 4 3.1	Problem 6	✓	3.907	✓	0.121
1065	chapter 4 3.1	Problem 7	✗	2.163	✓	1.525
1066	chapter 4 3.1	Problem 8	✗	1.066	✓	0.974
1067	chapter 4 3.1	Problem 9	✓	2.046	✓	1.049
1068	chapter 4 3.1	Problem 10	✓	0.108	✓	0.02
1069	chapter 4 3.2	Problem 1	✓	0.172	✓	0.028
1070	chapter 4 3.2	Problem 2	✓	0.021	✓	0.021
1071	chapter 4 3.2	Problem 3	✓	0.03	✓	0.02
1072	chapter 4 3.2	Problem 4	✓	0.266	✓	0.124
1073	chapter 4 3.2	Problem 5	✓	0.401	✓	0.63
1074	chapter 4 3.2	Problem 6	✓	0.309	✓	0.128
1075	chapter 4 3.2	Problem 7	✓	2.85	✓	0.199
1076	chapter 4 4.1	Problem 1	✓	0.061	✓	0.026
1077	chapter 4 4.1	Problem 2	✓	0.088	✓	0.019
1078	chapter 4 4.1	Problem 3	✓	0.033	✓	0.016
1079	chapter 4 4.1	Problem 4	✗ (Timed out)	600.	✓	0.669
1080	chapter 4 4.1	Problem 5	✓	277.473	✓	0.812
1081	chapter 4 4.2	Problem 1	✓	0.06	✓	0.027
1082	chapter 4 4.2	Problem 2	✓	0.085	✓	0.023
1083	chapter 4 4.2	Problem 3	✓	0.032	✓	0.02
1084	chapter 4 4.2	Problem 4	✗ (Timed out)	600.	✓	0.974
1085	chapter 4 4.2	Problem 5	✓	157.1	✓	0.583
1086	chapter 4 4.3	Problem 1	✓	0.201	✓	0.076
1087	chapter 4 4.3	Problem 2	✓	0.125	✓	0.079
1088	chapter 4 4.3	Problem 3	✓	0.073	✓	0.066
1089	chapter 4 4.3	Problem 4	✗ (Timed out)	600.	✓	0.696
1090	chapter 4 4.3	Problem 5	✓	216.862	✓	0.707
1091	chapter 4 4.4	Problem 1	✓	0.202	✓	0.064
1092	chapter 4 4.4	Problem 2	✓	0.108	✓	0.061
1093	chapter 4 4.4	Problem 3	✓	0.053	✓	0.055
1094	chapter 4 4.4	Problem 4	✓	555.004	✓	0.706
1095	chapter 4 4.4	Problem 5	✓	224.452	✓	0.753
1096	chapter 4 4.5	Problem 1	✓	0.068	✓	0.023
1097	chapter 4 4.5	Problem 2	✓	0.181	✓	0.063
1098	chapter 4 4.5	Problem 3	✓	0.139	✓	0.116
1099	chapter 4 4.5	Problem 4	✓	0.072	✓	0.029
1100	chapter 4 4.5	Problem 5	✓	0.227	✓	0.296
1101	chapter 4 4.5	Problem 6	✓	0.737	✓	1.29
1102	chapter 4 5.1	Problem 1	✓	0.063	✓	0.071
1103	chapter 4 5.1	Problem 2	✓	0.025	✓	0.031
1104	chapter 4 5.1	Problem 3	✓	1.414	✓	0.116
1105	chapter 4 5.1	Problem 4	✓	0.721	✓	0.217
1106	chapter 4 5.1	Problem 5	✓	0.198	✓	0.233
1107	chapter 4 5.1	Problem 6	✗	0.294	✓	0.235
1108	chapter 4 5.2	Problem 1	✓	0.107	✓	0.714
1109	chapter 4 5.2	Problem 2	✓	0.254	✓	0.242
1110	chapter 4 5.2	Problem 3	✓	0.15	✓	0.019
1111	chapter 4 5.2	Problem 4	✓	0.063	✓	0.516
1112	chapter 4 5.2	Problem 5	✓	0.049	✓	0.176
1113	chapter 4 5.2	Problem 6	✓	1.529	✓	4.921
1114	chapter 4 6.1	Problem 1	✓	0.086	✓	0.023
1115	chapter 4 6.1	Problem 2	✓	0.06	✓	0.024
1116	chapter 4 6.1	Problem 3	✓	0.034	✓	0.017
1117	chapter 4 6.1	Problem 4	✓	240.48	✓	1.646
1118	chapter 4 6.1	Problem 5	✓	87.552	✓	1.416
1119	chapter 4 6.2	Problem 1	✓	0.088	✓	0.014
1120	chapter 4 6.2	Problem 2	✓	0.063	✓	0.029
1121	chapter 4 6.2	Problem 3	✓	0.035	✓	0.017
1122	chapter 4 6.2	Problem 4	✓	242.964	✓	1.566
1123	chapter 4 6.2	Problem 5	✓	50.729	✓	0.963
1124	chapter 4 6.3	Problem 1	✓	0.093	✓	0.048
1125	chapter 4 6.3	Problem 2	✓	0.171	✓	0.053
1126	chapter 4 6.3	Problem 3	✓	0.049	✓	0.042
1127	chapter 4 6.3	Problem 4	✓	67.747	✓	0.938
1128	chapter 4 6.3	Problem 5	✓	27.395	✓	0.861
1129	chapter 4 6.4	Problem 1	✓	0.107	✓	0.042
1130	chapter 4 6.4	Problem 2	✓	0.219	✓	0.055
1131	chapter 4 6.4	Problem 3	✓	0.054	✓	0.034
1132	chapter 4 6.4	Problem 4	✓	81.421	✓	1.086
1133	chapter 4 6.4	Problem 5	✓	26.739	✓	1.041
1134	chapter 4 6.5	Problem 1	✓	0.042	✓	0.025
1135	chapter 4 6.5	Problem 2	✓	0.066	✓	0.043
1136	chapter 4 6.5	Problem 3	✓	0.177	✓	0.144
1137	chapter 4 6.5	Problem 4	✓	0.199	✓	0.462
1138	chapter 4 6.5	Problem 5	✓	0.268	✓	0.129
1139	chapter 4 6.5	Problem 6	✓	0.156	✓	0.169
1140	chapter 4 7.1	Problem 1	✓	0.704	✓	0.05
1141	chapter 4 7.1	Problem 2	✓	0.359	✓	0.056
1142	chapter 4 7.1	Problem 3	✓	0.283	✓	0.044
1143	chapter 4 7.1	Problem 4	✓	0.088	✓	3.099
1144	chapter 4 7.1	Problem 5	✓	1.196	✓	2.18
1145	chapter 4 7.2	Problem 1	✓	0.661	✓	0.03
1146	chapter 4 7.2	Problem 2	✓	0.546	✓	0.021
1147	chapter 4 7.2	Problem 3	✓	0.281	✓	0.027
1148	chapter 4 7.2	Problem 4	✓	0.113	✓	2.191
1149	chapter 4 7.2	Problem 5	✓	0.356	✓	2.102
1150	chapter 4 7.3	Problem 1	✓	0.057	✓	0.129
1151	chapter 4 7.3	Problem 2	✓	0.071	✓	0.102
1152	chapter 4 7.3	Problem 3	✓	0.139	✓	0.132
1153	chapter 4 7.3	Problem 4	✓	0.128	✓	1.017
1154	chapter 4 7.3	Problem 5	✓	0.39	✓	1.487
1155	chapter 4 7.4	Problem 1	✓	0.049	✓	0.08
1156	chapter 4 7.4	Problem 2	✓	0.076	✓	0.058
1157	chapter 4 7.4	Problem 3	✓	0.131	✓	0.105
1158	chapter 4 7.4	Problem 4	✓	0.128	✓	0.64
1159	chapter 4 7.4	Problem 5	✓	0.389	✓	0.7
1160	chapter 4 8.1	Problem 1	✓	0.006	✓	0.013
1161	chapter 4 8.1	Problem 2	✓	0.037	✓	0.017
1162	chapter 4 8.1	Problem 3	✓	0.025	✓	0.016
1163	chapter 4 8.1	Problem 4	✓	0.028	✓	0.016
1164	chapter 4 8.1	Problem 5	✓	0.032	✓	0.017
1165	chapter 4 8.1	Problem 6	✓	0.041	✓	0.013
1166	chapter 4 8.1	Problem 7	✓	0.06	✓	0.035
1167	chapter 4 8.1	Problem 8	✓	0.132	✓	0.046
1168	chapter 4 8.1	Problem 9	✓	0.171	✓	0.044
1169	chapter 4 8.1	Problem 10	✓	0.113	✓	0.032
1170	chapter 4 8.1	Problem 11	✓	0.196	✓	0.098
1171	chapter 4 8.1	Problem 12	✓	0.442	✓	0.112
1172	chapter 4 8.1	Problem 13	✗	24.218	✗	3.805
1173	chapter 4 8.1	Problem 14	✓	0.201	✓	0.073
1174	chapter 4 8.1	Problem 15	✓	0.207	✓	0.047
1175	chapter 4 8.2	Problem 1	✓	0.014	✓	0.017
1176	chapter 4 8.2	Problem 2	✓	0.016	✓	0.012
1177	chapter 4 8.2	Problem 3	✓	0.05	✓	0.018
1178	chapter 4 8.2	Problem 4	✗	0.068	✓ contains RootOf	0.036
1179	chapter 4 8.2	Problem 5	✗	22.093	✗	2.527
1180	chapter 4 8.2	Problem 6	✗	0.171	✓ has RootOf	0.07
1181	chapter 4 8.2	Problem 7	✗	0.038	✓ has RootOf	0.035
1182	chapter 4 8.3	Problem 1	✓	0.032	✓	0.018
1183	chapter 4 8.3	Problem 2	✓	0.009	✓	0.014
1184	chapter 4 8.3	Problem 3	✓	0.027	✓	0.014
1185	chapter 4 8.3	Problem 4	✓	0.073	✓	0.306
1186	chapter 4 8.3	Problem 5	✓	0.072	✓	0.025
1187	chapter 4 8.3	Problem 6	✓	0.037	✓	0.02
1188	chapter 4 8.3	Problem 7	✓	0.052	✓	0.474
1189	chapter 4 8.4	Problem 1	✓	0.008	✓	0.016
1190	chapter 4 8.4	Problem 2	✓	0.036	✓	0.018
1191	chapter 4 8.4	Problem 3	✓	0.066	✓	0.017
1192	chapter 4 8.4	Problem 4	✓	0.169	✓	0.025
1193	chapter 4 8.4	Problem 5	✓	0.484	✓	0.145
1194	chapter 4 8.4	Problem 6	✗	24.208	✗	2.857
1195	chapter 4 8.4	Problem 7	✗	0.041	✓ has RootOf	0.026
1196	chapter 5 2.1	Problem 1	✓	0.011	✓	0.016
1197	chapter 5 2.1	Problem 2	✓	0.016	✓	0.014
1198	chapter 5 2.1	Problem 3	✓	0.033	✓	0.029
1199	chapter 5 2.1	Problem 4	✓	0.036	✓	0.026
1200	chapter 5 2.1	Problem 5	✓	0.338	✓	0.05
1201	chapter 5 2.1	Problem 6	✓	0.05	✓	0.028
1202	chapter 5 2.1	Problem 7	✓	5.847	✗ (Timed out)	600.
1203	chapter 5 2.1	Problem 8	✓	1.581	✓	0.441
1204	chapter 5 2.2	Problem 1	✓	0.08	✓	0.026
1205	chapter 5 2.2	Problem 2	✓	0.111	✓	0.023
1206	chapter 5 2.2	Problem 3	✓	0.013	✓	0.02
1207	chapter 5 2.2	Problem 4	✓	0.199	✓	0.036
1208	chapter 5 2.2	Problem 5	✗ (Timed out)	600.	✓	20.803
1209	chapter 5 2.2	Problem 6	✗ (Timed out)	600.	✓	2.838
1210	chapter 5 2.2	Problem 7	✗	42.79	✓	0.697
1211	chapter 5 2.2	Problem 8	✗	28.213	✓	24.237
1212	chapter 5 2.3	Problem 1	✓	0.244	✓	0.207
1213	chapter 5 2.3	Problem 2	✓	0.384	✓	0.054
1214	chapter 5 2.3	Problem 3	✓	3.13	✓	0.141
1215	chapter 5 2.3	Problem 4	✓	3.107	✓	0.002
1216	chapter 5 2.3	Problem 5	✓	0.482	✓	0.112
1217	chapter 5 2.3	Problem 6	✓	0.124	✓	0.121
1218	chapter 5 2.3	Problem 7	✓	1.276	✓ contains RootOf	0.391
1219	chapter 5 2.4	Problem 1	✓	0.525	✓	0.177
1220	chapter 5 2.4	Problem 2	✓	0.062	✓	0.111
1221	chapter 5 2.4	Problem 3	✓	0.02	✓	0.775
1222	chapter 5 2.4	Problem 4	✓	0.13	✓	0.116
1223	chapter 5 2.4	Problem 5	✓	0.585	✓	1.029
1224	chapter 5 2.4	Problem 6	✓	0.462	✓	1.037
1225	chapter 5 2.4	Problem 7	✓	0.078	✓	0.161
1226	chapter 5 2.4	Problem 8	✓	0.048	✓	0.138
1227	chapter 5 2.4	Problem 9	✓	6.336	✓	7.545
1228	chapter 5 2.4	Problem 10	✓	1.969	✓	2.932
1229	chapter 5 2.4	Problem 11	✓	4.028	✓	3.198
1230	chapter 5 2.4	Problem 12	✓	1.182	✓	2.039
1231	chapter 5 3.1	Problem 1	✓	0.353	✓	0.138
1232	chapter 5 3.1	Problem 2	✓	0.53	✓	0.176
1233	chapter 5 3.1	Problem 3	✓	1.379	✓	0.306
1234	chapter 5 3.1	Problem 4	✗	2.078	✓	0.728
1235	chapter 5 3.1	Problem 5	✗	1.114	✓	1.149
1236	chapter 5 3.1	Problem 6	✓	5.669	✓	0.574
1237	chapter 5 3.1	Problem 7	✓	0.243	✓	0.041
1238	chapter 5 3.1	Problem 8	✓	0.199	✓	0.117
1239	chapter 5 3.2	Problem 1	✓	0.107	✓	0.093
1240	chapter 5 3.2	Problem 2	✓	0.09	✓	0.041
1241	chapter 5 3.2	Problem 3	✓	0.073	✓	0.044
1242	chapter 5 3.2	Problem 4	✓	0.497	✓	0.825
1243	chapter 5 3.2	Problem 5	✓	0.39	✓	0.144
1244	chapter 5 3.2	Problem 6	✓	0.272	✓	0.078
1245	chapter 5 3.2	Problem 7	✓	2.835	✓	0.352
1246	chapter 5 3.2	Problem 8	✓	0.052	✓	0.028
1247	chapter 5 3.2	Problem 9	✓	0.536	✓	0.482
1248	chapter 5 3.2	Problem 10	✓	0.564	✓	0.197
1249	chapter 5 4.1	Problem 1	✓	8.952	✓	8.332
1250	chapter 5 4.1	Problem 2	✓	166.492	✓	0.191
1251	chapter 5 4.1	Problem 3	✓	71.393	✓	7.023
1252	chapter 5 4.1	Problem 4	✓	3.697	✓	5.209
1253	chapter 5 4.1	Problem 5	✓	0.665	✓	1.216
1254	chapter 5 4.2	Problem 1	✓	8.523	✓	7.162
1255	chapter 5 4.2	Problem 2	✓	127.415	✓	0.165
1256	chapter 5 4.2	Problem 3	✓	72.705	✓	5.186
1257	chapter 5 4.2	Problem 4	✓	0.077	✓	0.046
1258	chapter 5 4.2	Problem 5	✓	3.698	✓	3.893
1259	chapter 5 4.2	Problem 6	✓	1.936	✓	1.209
1260	chapter 5 4.3	Problem 1	✓	9.98	✓	0.998
1261	chapter 5 4.3	Problem 2	✓	80.824	✓	0.182
1262	chapter 5 4.3	Problem 3	✗ (Timed out)	600.	✓	1.793
1263	chapter 5 4.3	Problem 4	✓	4.674	✓	2.199
1264	chapter 5 4.3	Problem 5	✓	1.347	✓	1.362
1265	chapter 5 4.4	Problem 1	✓	9.758	✓	0.99
1266	chapter 5 4.4	Problem 2	✓	74.41	✓	0.162
1267	chapter 5 4.4	Problem 3	✗ (Timed out)	600.	✓	1.751
1268	chapter 5 4.4	Problem 4	✓	4.662	✓	2.804
1269	chapter 5 4.4	Problem 5	✓	1.329	✓	1.301
1270	chapter 5 4.5	Problem 1	✓	0.979	✓	7.374
1271	chapter 5 4.5	Problem 2	✓	7.194	✓	6.003
1272	chapter 5 4.5	Problem 3	✓	0.411	✓	0.72
1273	chapter 5 4.5	Problem 4	✓	14.658	✓	0.357
1274	chapter 5 4.5	Problem 5	✓	3.974	✓	6.847
1275	chapter 5 4.5	Problem 6	✓	3.766	✓	3.423
1276	chapter 5 5.1	Problem 1	✓	0.261	✓	0.411
1277	chapter 5 5.1	Problem 2	✓	0.074	✓	0.091
1278	chapter 5 5.1	Problem 3	✓	0.633	✓	0.964
1279	chapter 5 5.1	Problem 4	✗	0.119	✓	0.252
1280	chapter 5 5.1	Problem 5	✓	0.44	✓	252.039
1281	chapter 5 5.1	Problem 6	✓	0.188	✓	51.363
1282	chapter 5 5.2	Problem 1	✓	0.641	✓	0.2
1283	chapter 5 5.2	Problem 2	✓	0.551	✓	0.216
1284	chapter 5 5.2	Problem 3	✓	0.241	✓	0.179
1285	chapter 5 5.2	Problem 4	✓	0.477	✓	1.379
1286	chapter 5 5.2	Problem 5	✓	0.184	✓	0.32
1287	chapter 5 5.2	Problem 6	✓	1.412	✓	0.607
1288	chapter 5 5.2	Problem 7	✓	0.247	✓	1.91
1289	chapter 5 6.1	Problem 1	✓	0.349	✓	0.052
1290	chapter 5 6.1	Problem 2	✓	1.03	✓	15.355
1291	chapter 5 6.1	Problem 3	✓	3.214	✓	12.025
1292	chapter 5 6.1	Problem 4	✓	1.885	✓	0.246
1293	chapter 5 6.1	Problem 5	✓	4.002	✓	0.313
1294	chapter 5 6.1	Problem 6	✓	1.691	✓	17.551
1295	chapter 5 6.1	Problem 7	✓	0.762	✓	6.974
1296	chapter 5 6.2	Problem 1	✓	0.352	✓	0.039
1297	chapter 5 6.2	Problem 2	✓	1.297	✓	9.267
1298	chapter 5 6.2	Problem 3	✓	3.166	✓	8.007
1299	chapter 5 6.2	Problem 4	✓	1.395	✓	0.265
1300	chapter 5 6.2	Problem 5	✓	4.177	✓	0.335
1301	chapter 5 6.2	Problem 6	✓	1.667	✓	9.932
1302	chapter 5 6.3	Problem 1	✓	2.134	✓	0.154
1303	chapter 5 6.3	Problem 2	✓	5.726	✓	1.204
1304	chapter 5 6.3	Problem 3	✓	2.238	✓	1.151
1305	chapter 5 6.3	Problem 4	✓	0.86	✓	1.282
1306	chapter 5 6.3	Problem 5	✓	5.503	✓	0.164
1307	chapter 5 6.3	Problem 6	✓	1.721	✓	7.184
1308	chapter 5 6.3	Problem 7	✓	1.146	✓	8.809
1309	chapter 5 6.4	Problem 1	✓	3.223	✓	0.153
1310	chapter 5 6.4	Problem 2	✓	5.453	✓	1.079
1311	chapter 5 6.4	Problem 3	✓	2.194	✓	1.151
1312	chapter 5 6.4	Problem 4	✓	1.203	✓	3.765
1313	chapter 5 6.4	Problem 5	✓	6.87	✓	0.121
1314	chapter 5 6.4	Problem 6	✓	1.741	✓	6.804
1315	chapter 5 6.4	Problem 7	✓	1.14	✓	9.194
1316	chapter 5 6.5	Problem 1	✓	1.079	✓	10.745
1317	chapter 5 6.5	Problem 2	✓	2.892	✓	8.329
1318	chapter 5 6.5	Problem 3	✓	1.36	✓	0.325
1319	chapter 5 6.5	Problem 4	✓	1.695	✓	0.138
1320	chapter 5 6.5	Problem 5	✓	1.708	✓	1.215
1321	chapter 5 6.5	Problem 6	✓	1.65	✓	10.093
1322	chapter 5 6.5	Problem 7	✓	1.775	✓	1.45
1323	chapter 5 7.1	Problem 1	✓	1.067	✓	0.26
1324	chapter 5 7.1	Problem 2	✓	1.451	✓	0.047
1325	chapter 5 7.1	Problem 3	✓	2.336	✓	0.349
1326	chapter 5 7.1	Problem 4	✓	0.447	✓	4.497
1327	chapter 5 7.1	Problem 5	✓	0.115	✓	3.783
1328	chapter 5 7.2	Problem 1	✓	1.306	✓	0.094
1329	chapter 5 7.2	Problem 2	✓	1.444	✓	0.052
1330	chapter 5 7.2	Problem 3	✓	4.802	✓	0.137
1331	chapter 5 7.2	Problem 4	✓	4.915	✓	1.952
1332	chapter 5 7.2	Problem 5	✓	1.698	✓	3.22
1333	chapter 5 7.3	Problem 1	✓	2.411	✓	0.752
1334	chapter 5 7.3	Problem 2	✓	1.756	✓	212.404
1335	chapter 5 7.3	Problem 3	✓	2.612	✓	7.9
1336	chapter 5 7.3	Problem 4	✓	0.288	✓	1.785
1337	chapter 5 7.3	Problem 5	✓	0.155	✓	0.932
1338	chapter 5 7.4	Problem 1	✓	2.474	✓	0.855
1339	chapter 5 7.4	Problem 2	✓	1.772	✓	55.668
1340	chapter 5 7.4	Problem 3	✓	3.347	✓	8.106
1341	chapter 5 7.4	Problem 4	✓	0.313	✓	1.069
1342	chapter 5 7.4	Problem 5	✓	0.157	✓	0.641
1343	chapter 5 8.1	Problem 1	✓	0.029	✓	0.027
1344	chapter 5 8.1	Problem 2	✓	0.076	✓	0.054
1345	chapter 5 8.1	Problem 3	✓	0.088	✓	0.063
1346	chapter 5 8.1	Problem 4	✓	0.057	✓	0.03
1347	chapter 5 8.1	Problem 5	✓	0.115	✓	0.051
1348	chapter 5 8.1	Problem 6	✓	0.049	✓	0.023
1349	chapter 5 8.1	Problem 7	✓	0.19	✓	0.03
1350	chapter 5 8.1	Problem 8	✓	0.185	✓	1.227
1351	chapter 5 8.1	Problem 9	✓	0.556	✓	0.33
1352	chapter 5 8.1	Problem 10	✗	0.409	✓	0.35
1353	chapter 5 8.1	Problem 11	✓	0.233	✓	0.473
1354	chapter 5 8.1	Problem 12	✓	0.291	✓	0.14
1355	chapter 5 8.2	Problem 1	✓	0.033	✓	0.022
1356	chapter 5 8.2	Problem 2	✓	0.156	✓	0.036
1357	chapter 5 8.2	Problem 3	✓	0.034	✓	0.024
1358	chapter 5 8.2	Problem 4	✓	0.098	✓	0.069
1359	chapter 5 8.2	Problem 5	✓	0.056	✓	0.028
1360	chapter 5 8.2	Problem 6	✗	0.072	✓	0.091
1361	chapter 5 8.3	Problem 1	✓	0.03	✓	0.027
1362	chapter 5 8.3	Problem 2	✓	0.083	✓	0.043
1363	chapter 5 8.3	Problem 3	✓	0.058	✓	0.091
1364	chapter 5 8.3	Problem 4	✓	0.2	✓	0.339
1365	chapter 5 8.3	Problem 5	✗ (Timed out)	600.	✓	0.429
1366	chapter 5 8.3	Problem 6	✗	24.126	✗	1.085
1367	chapter 6 2.1	Problem 1	✓	0.005	✓	0.01	Yes
1368	chapter 6 2.1	Problem 2	✓	0.006	✓	0.014	Yes
1369	chapter 6 2.1	Problem 3	✓	0.032	✓	0.033	Yes
1370	chapter 6 2.1	Problem 4	✓	0.077	✓	0.102	Yes
1371	chapter 6 2.1	Problem 5	✓	0.013	✓	0.026
1372	chapter 6 2.1	Problem 6	✓	0.021	✓	0.057
1373	chapter 6 2.1	Problem 7	✓	0.043	✓	0.075
1374	chapter 6 2.1	Problem 8	✗	0.029	✓	0.023
1375	chapter 6 2.1	Problem 9	✗	0.023	✓	1.521
1376	chapter 6 2.1	Problem 10	✓	0.162	✓	0.072
1377	chapter 6 2.1	Problem 11	✗	5.906	✗	5.141
1378	chapter 6 2.1	Problem 12	✗	2.645	✗	0.156
1379	chapter 6 2.1	Problem 13	✓	0.019	✓	0.02
1380	chapter 6 2.1	Problem 14	✗ (Timed out)	600.	✗	1.056
1381	chapter 6 2.1	Problem 15	✗ (Timed out)	600.	✓	8.449
1382	chapter 6 2.1	Problem 16	✗ (Timed out)	600.	✓	6.455
1383	chapter 6 2.1	Problem 17	✗ (Timed out)	600.	✗	2.056
1384	chapter 6 2.1	Problem 18	✗ (Timed out)	600.	✗	6.028
1385	chapter 6 2.1	Problem 19	✗	1.942	✗	0.407
1386	chapter 6 2.1	Problem 20	✗	232.147	✗	0.378
1387	chapter 6 2.1	Problem 21	✗	0.206	✗	0.46
1388	chapter 6 2.2	Problem 1	✓	0.245	✓	0.166
1389	chapter 6 2.2	Problem 2	✓	0.129	✓	0.092
1390	chapter 6 2.2	Problem 3	✗ (Timed out)	600.	✓	1.074
1391	chapter 6 2.2	Problem 4	✓	0.216	✓	0.137
1392	chapter 6 2.2	Problem 5	✓	0.009	✓	1.255
1393	chapter 6 2.2	Problem 6	✓	0.017	✓	0.037
1394	chapter 6 2.2	Problem 7	✓	0.02	✓	0.025
1395	chapter 6 2.2	Problem 8	✓	0.02	✓	0.016
1396	chapter 6 2.2	Problem 9	✓	0.174	✓	0.067
1397	chapter 6 2.2	Problem 10	✓	0.016	✓	0.017
1398	chapter 6 2.2	Problem 11	✓	0.103	✓	0.053
1399	chapter 6 2.2	Problem 12	✓	0.007	✓	0.113
1400	chapter 6 2.2	Problem 13	✓	0.017	✓	0.029
1401	chapter 6 2.2	Problem 14	✓	0.108	✓	0.047
1402	chapter 6 2.2	Problem 15	✓	0.022	✓	0.023
1403	chapter 6 2.2	Problem 16	✓	0.018	✓	0.064
1404	chapter 6 2.2	Problem 17	✓	0.025	✓	0.053
1405	chapter 6 2.2	Problem 18	✓	0.025	✓	0.038
1406	chapter 6 2.2	Problem 19	✓	0.035	✓	0.115
1407	chapter 6 2.2	Problem 20	✓	0.024	✓	0.036
1408	chapter 6 2.2	Problem 21	✓	0.025	✓	0.054
1409	chapter 6 2.2	Problem 22	✓	0.036	✗	0.245
1410	chapter 6 2.2	Problem 23	✗	7.436	✓	1.353
1411	chapter 6 2.2	Problem 24	✓	0.074	✓	1.023
1412	chapter 6 2.2	Problem 25	✓	0.486	✓	0.724
1413	chapter 6 2.2	Problem 26	✗	60.299	✗	0.296
1414	chapter 6 2.2	Problem 27	✗	0.604	✓	2.135
1415	chapter 6 2.2	Problem 28	✓	1.617	✓	0.172
1416	chapter 6 2.2	Problem 29	✗	0.872	✗	1.37
1417	chapter 6 2.3	Problem 1	✗	32.038	✗	0.31
1418	chapter 6 2.3	Problem 2	✓	0.042	✓	0.058
1419	chapter 6 2.3	Problem 3	✓	0.024	✓	0.092
1420	chapter 6 2.3	Problem 4	✗	0.026	✓	0.695
1421	chapter 6 2.3	Problem 5	✗	25.431	✗	0.268
1422	chapter 6 2.3	Problem 6	✗	0.382	✓	2.444
1423	chapter 6 2.3	Problem 7	✗ (Timed out)	600.	✓	1.98
1424	chapter 6 2.3	Problem 8	✓	0.221	✗	0.452
1425	chapter 6 2.3	Problem 9	✗	0.025	✓	0.716
1426	chapter 6 2.3	Problem 10	✓	0.022	✓	0.026
1427	chapter 6 2.3	Problem 11	✓	0.298	✓	0.366
1428	chapter 6 2.3	Problem 12	✗	0.049	✗	3.082
1429	chapter 6 2.3	Problem 13	✗	0.747	✗ (Timed out)	600.
1430	chapter 6 2.4	Problem 1	✗	0.489	✓	3.483
1431	chapter 6 2.4	Problem 2	✓	1.172	✓	0.905
1432	chapter 6 2.4	Problem 3	✓	0.173	✓	0.368
1433	chapter 6 2.4	Problem 4	✓	0.709	✓	2.527
1434	chapter 6 2.4	Problem 5	✓	0.656	✓	2.232
1435	chapter 6 2.4	Problem 6	✓	0.343	✓	0.257
1436	chapter 6 2.4	Problem 7	✗	0.504	✓	1.03
1437	chapter 6 2.4	Problem 8	✗	0.031	✓	1.182
1438	chapter 6 3.1	Problem 1	✓	0.107	✓	0.038
1439	chapter 6 3.1	Problem 2	✓	0.157	✓	0.054
1440	chapter 6 3.1	Problem 3	✓	0.177	✓	1.282
1441	chapter 6 3.1	Problem 4	✗	0.873	✓	1.
1442	chapter 6 3.1	Problem 5	✓	0.378	✓	0.127
1443	chapter 6 3.1	Problem 6	✓	0.28	✓	0.328
1444	chapter 6 3.1	Problem 7	✓	0.854	✓	3.063
1445	chapter 6 3.1	Problem 8	✓	0.872	✓	1.094
1446	chapter 6 3.2	Problem 1	✗	0.504	✓	3.004
1447	chapter 6 3.2	Problem 2	✗	0.32	✓	0.246
1448	chapter 6 3.2	Problem 3	✓	1.794	✓	0.673
1449	chapter 6 3.2	Problem 4	✓	1.508	✓	0.358
1450	chapter 6 3.2	Problem 5	✗	39.442	✗ (Timed out)	600.
1451	chapter 6 3.2	Problem 6	✗	38.806	✗ (Timed out)	600.
1452	chapter 6 3.2	Problem 7	✗	13.854	✗ (Timed out)	600.
1453	chapter 6 3.2	Problem 8	✗	23.072	✗ (Timed out)	600.
1454	chapter 6 3.2	Problem 9	✗	8.504	✓	0.95
1455	chapter 6 3.2	Problem 10	✗	2.658	✓	1.036
1456	chapter 6 3.2	Problem 11	✗	1.964	✓	1.513
1457	chapter 6 3.2	Problem 12	✗	28.859	✗ (Timed out)	600.
1458	chapter 6 3.2	Problem 13	✓	0.789	✓	0.487
1459	chapter 6 3.2	Problem 14	✗	1.215	✓	0.701
1460	chapter 6 3.2	Problem 15	✓	1.048	✓	2.08
1461	chapter 6 3.2	Problem 16	✗	2.411	✓	5.293
1462	chapter 6 3.2	Problem 17	✗	31.992	✗	4.651
1463	chapter 6 3.2	Problem 18	✗	21.495	✗ (Timed out)	600.
1464	chapter 6 4.1	Problem 1	✓	0.018	✓	0.04
1465	chapter 6 4.1	Problem 2	✓	0.164	✓	0.242
1466	chapter 6 4.1	Problem 3	✓	0.207	✓	0.23
1467	chapter 6 4.1	Problem 4	✓	0.402	✓	0.117
1468	chapter 6 4.1	Problem 5	✗	11.611	✓	0.584
1469	chapter 6 4.1	Problem 6	✗ (Timed out)	600.	✓	0.082
1470	chapter 6 4.2	Problem 1	✓	0.019	✓	0.023
1471	chapter 6 4.2	Problem 2	✓	0.027	✓	0.023
1472	chapter 6 4.2	Problem 3	✓	0.168	✓	0.085
1473	chapter 6 4.2	Problem 4	✓	0.188	✓	0.119
1474	chapter 6 4.2	Problem 5	✓	0.415	✓	0.17
1475	chapter 6 4.2	Problem 6	✗	174.208	✓	1.799
1476	chapter 6 4.3	Problem 1	✓	0.222	✓	2.405
1477	chapter 6 4.3	Problem 2	✓	0.068	✓	0.033
1478	chapter 6 4.3	Problem 3	✓	0.597	✓	0.96
1479	chapter 6 4.3	Problem 4	✓	0.757	✓	1.256
1480	chapter 6 4.3	Problem 5	✗	1.32	✓	2.777
1481	chapter 6 4.3	Problem 6	✗	0.685	✓	2.906
1482	chapter 6 4.4	Problem 1	✓	0.189	✓	0.553
1483	chapter 6 4.4	Problem 2	✓	0.066	✓	0.026
1484	chapter 6 4.4	Problem 3	✓	0.626	✓	0.529
1485	chapter 6 4.4	Problem 4	✓	0.718	✓	0.059
1486	chapter 6 4.4	Problem 5	✗	4.399	✓	3.1
1487	chapter 6 4.4	Problem 6	✗	0.674	✓	1.562
1488	chapter 6 4.5	Problem 1	✓	0.4	✓	0.377
1489	chapter 6 4.5	Problem 2	✓	0.274	✓	0.076
1490	chapter 6 4.5	Problem 3	✗ (Timed out)	600.	✓	0.082
1491	chapter 6 4.5	Problem 4	✗	7.668	✓	3.908
1492	chapter 6 4.5	Problem 5	✗	0.823	✓	1.255
1493	chapter 6 4.5	Problem 6	✗	0.708	✓	0.252
1494	chapter 6 5.1	Problem 1	✓	0.043	✓	1.502
1495	chapter 6 5.1	Problem 2	✓	0.008	✓	0.03
1496	chapter 6 5.1	Problem 3	✓	0.198	✓	1.273
1497	chapter 6 5.1	Problem 4	✓	0.183	✓	0.486
1498	chapter 6 5.2	Problem 1	✓	0.033	✓	0.029
1499	chapter 6 5.2	Problem 2	✓	0.147	✓	0.202
1500	chapter 6 5.2	Problem 3	✓	0.169	✓	0.815
1501	chapter 6 5.2	Problem 4	✓	0.248	✓	3.163
1502	chapter 6 5.2	Problem 5	✓	0.107	✓	0.098
1503	chapter 6 5.2	Problem 6	✓	0.484	✓	2.227
1504	chapter 6 6.1	Problem 1	✓	0.186	✓	0.2
1505	chapter 6 6.1	Problem 2	✓	0.169	✓	0.184
1506	chapter 6 6.1	Problem 3	✓	0.134	✓	0.065
1507	chapter 6 6.1	Problem 4	✓	0.436	✓	0.248
1508	chapter 6 6.1	Problem 5	✓	1.573	✓	2.328
1509	chapter 6 6.2	Problem 1	✓	0.423	✓	0.164
1510	chapter 6 6.2	Problem 2	✓	0.401	✓	0.138
1511	chapter 6 6.2	Problem 3	✗ (Timed out)	600.	✓	0.066
1512	chapter 6 6.2	Problem 4	✗ (Timed out)	600.	✓	0.003
1513	chapter 6 6.2	Problem 5	✓	1.517	✓	0.99
1514	chapter 6 6.3	Problem 1	✓	0.19	✓	0.64	Yes
1515	chapter 6 6.3	Problem 2	✓	0.59	✓	1.885	Yes
1516	chapter 6 6.3	Problem 3	✓	0.819	✓	0.621
1517	chapter 6 6.3	Problem 4	✓	0.255	✓	0.001
1518	chapter 6 6.3	Problem 5	✓	1.371	✓	3.069
1519	chapter 6 6.4	Problem 1	✓	0.217	✓	0.944
1520	chapter 6 6.4	Problem 2	✓	0.612	✓	4.694
1521	chapter 6 6.4	Problem 3	✓	0.793	✓	0.756
1522	chapter 6 6.4	Problem 4	✓	0.272	✓	0.002
1523	chapter 6 6.4	Problem 5	✗	1.662	✓	3.075
1524	chapter 6 6.5	Problem 1	✓	173.283	✓	4.174
1525	chapter 6 6.5	Problem 2	✓	0.158	✓	0.109
1526	chapter 6 6.5	Problem 3	✓	0.086	✓	0.615
1527	chapter 6 6.5	Problem 4	✗	68.369	✓	0.369
1528	chapter 6 6.5	Problem 5	✓	0.606	✓	1.934
1529	chapter 6 6.5	Problem 6	✗	20.313	✓	1.063
1530	chapter 6 7.1	Problem 1	✓	0.298	✓	0.312
1531	chapter 6 7.1	Problem 2	✓	0.382	✓	0.279
1532	chapter 6 7.1	Problem 3	✓	0.069	✓	0.103
1533	chapter 6 7.1	Problem 4	✓	0.21	✗ (Timed out)	600.
1534	chapter 6 7.1	Problem 5	✓	0.27	✓	1.559
1535	chapter 6 7.2	Problem 1	✓	0.254	✓	0.304
1536	chapter 6 7.2	Problem 2	✓	0.402	✓	0.293
1537	chapter 6 7.2	Problem 3	✓	0.092	✓	0.105
1538	chapter 6 7.2	Problem 4	✓	0.214	✓	4.944
1539	chapter 6 7.2	Problem 5	✓	0.227	✓	0.169
1540	chapter 6 7.3	Problem 1	✓	0.481	✓	0.634
1541	chapter 6 7.3	Problem 2	✓	0.562	✓	97.653
1542	chapter 6 7.3	Problem 3	✓	0.221	✓	0.24
1543	chapter 6 7.3	Problem 4	✓	0.172	✓	0.71
1544	chapter 6 7.3	Problem 5	✓	0.181	✓	0.067
1545	chapter 6 7.4	Problem 1	✓	0.519	✓	0.391
1546	chapter 6 7.4	Problem 2	✓	0.581	✓	55.553
1547	chapter 6 7.4	Problem 3	✓	0.245	✓	0.191
1548	chapter 6 7.4	Problem 4	✓	0.188	✓	0.81
1549	chapter 6 7.4	Problem 5	✓	0.183	✓	0.066
1550	chapter 6 8.1	Problem 1	✓	0.006	✓	0.013
1551	chapter 6 8.1	Problem 2	✓	0.155	✓	0.072
1552	chapter 6 8.1	Problem 3	✓	0.069	✓	0.024
1553	chapter 6 8.1	Problem 4	✓	0.279	✓	0.36
1554	chapter 6 8.1	Problem 5	✓	0.141	✓	0.043
1555	chapter 6 8.1	Problem 6	✗	0.005	✗	1.36
1556	chapter 6 8.1	Problem 7	✓	3.142	✓	3.987
1557	chapter 6 8.1	Problem 8	✓	0.551	✓	0.356
1558	chapter 6 8.1	Problem 9	✗	0.391	✓	0.408
1559	chapter 6 8.1	Problem 10	✗	0.675	✓	0.694
1560	chapter 6 8.2	Problem 1	✓	0.032	✓	0.039
1561	chapter 6 8.2	Problem 2	✓	0.471	✓	2.394
1562	chapter 6 8.2	Problem 3	✓	2.895	✓	0.11
1563	chapter 6 8.2	Problem 4	✗	0.187	✓	0.359
1564	chapter 6 8.2	Problem 5	✓	0.124	✓	0.033
1565	chapter 6 8.2	Problem 6	✓	0.165	✓	0.033
1566	chapter 6 8.2	Problem 7	✓	0.129	✓	0.132
1567	chapter 6 8.3	Problem 1	✓	0.019	✓	0.036
1568	chapter 6 8.3	Problem 2	✓	0.025	✓	0.029
1569	chapter 6 8.3	Problem 3	✓	0.028	✓	0.035
1570	chapter 6 8.3	Problem 4	✓	0.048	✓	0.022
1571	chapter 6 8.3	Problem 5	✓	0.049	✓	0.025
1572	chapter 6 8.3	Problem 6	✓	0.466	✓	0.512
1573	chapter 6 8.3	Problem 7	✓	2.493	✓	1.591
1574	chapter 6 8.3	Problem 8	✗	151.072	✗ (Timed out)	600.
1575	chapter 6 8.3	Problem 9	✗	0.313	✓	4.654
1576	chapter 6 8.3	Problem 10	✗	0.242	✓	3.784
1577	chapter 6 8.3	Problem 11	✗	47.61	✗	1.094
1578	chapter 6 8.3	Problem 12	✗	1.299	✗	0.682
1579	chapter 7 2.1	Problem 1	✓	0.019	✓	0.03
1580	chapter 7 2.1	Problem 2	✓	0.094	✓	0.23
1581	chapter 7 2.1	Problem 3	✓	0.013	✓	0.046
1582	chapter 7 2.1	Problem 4	✓	0.354	✓	0.093
1583	chapter 7 2.1	Problem 5	✓	0.076	✓	0.109
1584	chapter 7 2.1	Problem 6	✓	0.08	✓	0.034	Yes
1585	chapter 7 2.1	Problem 7	✓	0.052	✓	0.061	Yes
1586	chapter 7 2.1	Problem 8	✗	0.022	✓	0.511
1587	chapter 7 2.1	Problem 9	✓	0.735	✓	0.183
1588	chapter 7 2.2	Problem 1	✓	0.066	✓	0.021
1589	chapter 7 2.2	Problem 2	✓	0.013	✓	0.02
1590	chapter 7 2.2	Problem 3	✓	0.086	✓	0.033
1591	chapter 7 2.2	Problem 4	✓	0.047	✓	0.036
1592	chapter 7 2.2	Problem 5	✓	0.133	✓	0.046
1593	chapter 7 2.2	Problem 6	✓	0.146	✓	0.037
1594	chapter 7 2.2	Problem 7	✓	0.117	✓	0.044
1595	chapter 7 2.2	Problem 8	✓	0.108	✓	0.023
1596	chapter 7 2.2	Problem 9	✓	0.099	✓	0.061
1597	chapter 7 2.3	Problem 1	✓	0.011	✓	0.028
1598	chapter 7 2.3	Problem 2	✓	0.013	✓	0.026
1599	chapter 7 2.3	Problem 3	✓	0.037	✓	0.029
1600	chapter 7 2.3	Problem 4	✓	0.084	✓	0.182
1601	chapter 7 2.3	Problem 5	✓	0.079	✓	0.038
1602	chapter 7 2.4	Problem 1	✓	0.184	✓	0.056
1603	chapter 7 2.4	Problem 2	✓	0.116	✓	0.035
1604	chapter 7 2.4	Problem 3	✓	0.074	✓	0.177
1605	chapter 7 2.4	Problem 4	✓	0.107	✓	1.095
1606	chapter 7 2.4	Problem 5	✓	0.045	✓	0.199
1607	chapter 7 2.4	Problem 6	✗	0.025	✓	0.313
1608	chapter 7 2.4	Problem 7	✗	0.48	✓	0.237
1609	chapter 7 2.4	Problem 8	✓	3.262	✓	1.984
1610	chapter 7 2.4	Problem 9	✓	1.095	✓	3.594
1611	chapter 7 2.4	Problem 10	✓	0.712	✓	1.569
1612	chapter 7 2.4	Problem 11	✓	10.846	✓	1.245
1613	chapter 7 2.4	Problem 12	✓	0.029	✓	0.043
1614	chapter 7 2.4	Problem 13	✓	0.392	✓	0.376
1615	chapter 7 3.1	Problem 1	✓	0.027	✓	0.047
1616	chapter 7 3.1	Problem 2	✓	0.437	✓	0.98
1617	chapter 7 3.1	Problem 3	✓	2.346	✓	0.689
1618	chapter 7 3.1	Problem 4	✗	0.837	✓	0.511
1619	chapter 7 3.1	Problem 5	✓	0.422	✓	0.15
1620	chapter 7 3.1	Problem 6	✓	0.236	✓	0.496
1621	chapter 7 3.1	Problem 7	✓	0.939	✓	2.26
1622	chapter 7 3.1	Problem 8	✓	0.906	✓	1.184
1623	chapter 7 3.2	Problem 1	✓	0.217	✓	0.576
1624	chapter 7 3.2	Problem 2	✓	0.195	✓	0.602
1625	chapter 7 3.2	Problem 3	✓	0.171	✓	0.052
1626	chapter 7 3.2	Problem 4	✓	0.319	✓	0.331
1627	chapter 7 3.2	Problem 5	✓	0.327	✓	1.543
1628	chapter 7 3.2	Problem 6	✗	38.991	✗	23.738
1629	chapter 7 3.2	Problem 7	✗	13.262	✗	101.315
1630	chapter 7 3.2	Problem 8	✗	23.519	✓	33.484
1631	chapter 7 3.2	Problem 9	✓	0.828	✓	0.428
1632	chapter 7 3.2	Problem 10	✗	15.465	✗	12.421
1633	chapter 7 3.2	Problem 11	✓	1.236	✓	1.905
1634	chapter 7 4.1	Problem 1	✓	0.19	✓	0.158
1635	chapter 7 4.1	Problem 2	✓	31.05	✓	0.791
1636	chapter 7 4.1	Problem 3	✓	0.283	✓	0.401
1637	chapter 7 4.1	Problem 4	✓	19.853	✓	0.876
1638	chapter 7 4.1	Problem 5	✓	30.187	✗ (Timed out)	600.
1639	chapter 7 4.2	Problem 1	✓	0.202	✓	0.17
1640	chapter 7 4.2	Problem 2	✓	26.362	✓	0.661
1641	chapter 7 4.2	Problem 3	✓	0.297	✓	0.378
1642	chapter 7 4.2	Problem 4	✓	14.818	✓	0.793
1643	chapter 7 4.2	Problem 5	✓	0.238	✓	0.339
1644	chapter 7 4.2	Problem 6	✓	26.078	✗ (Timed out)	600.
1645	chapter 7 4.3	Problem 1	✓	0.164	✓	0.24
1646	chapter 7 4.3	Problem 2	✓	142.226	✓	14.026
1647	chapter 7 4.3	Problem 3	✓	0.237	✓	0.389
1648	chapter 7 4.3	Problem 4	✗	0.85	✓	2.474
1649	chapter 7 4.3	Problem 5	✓	1.053	✓	3.731
1650	chapter 7 4.3	Problem 6	✗	1.338	✓	4.993
1651	chapter 7 4.3	Problem 7	✓	41.525	✓	3.605
1652	chapter 7 4.4	Problem 1	✓	0.161	✓	0.147
1653	chapter 7 4.4	Problem 2	✓	141.479	✓	14.671
1654	chapter 7 4.4	Problem 3	✓	0.242	✓	0.384
1655	chapter 7 4.4	Problem 4	✗	0.885	✓	3.376
1656	chapter 7 4.4	Problem 5	✓	1.598	✓	0.865
1657	chapter 7 4.4	Problem 6	✓	43.795	✓	3.296
1658	chapter 7 4.5	Problem 1	✓	23.146	✓	3.385
1659	chapter 7 4.5	Problem 2	✓	0.132	✓	0.337
1660	chapter 7 4.5	Problem 3	✓	203.499	✓	1.108
1661	chapter 7 4.5	Problem 4	✓	0.117	✓	0.292
1662	chapter 7 4.5	Problem 5	✓	0.506	✓	0.566
1663	chapter 7 5.1	Problem 1	✓	0.039	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.011
1664	chapter 7 5.1	Problem 2	✗	0.336	✓	0.528
1665	chapter 7 5.1	Problem 3	✓	0.054	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.046
1666	chapter 7 5.1	Problem 4	✗	0.059	✓	1.222
1667	chapter 7 5.1	Problem 5	✗	2.017	✓ Contains RootOf and unresolved integrals \(\ln ^n(x)\)	0.536
1668	chapter 7 5.2	Problem 1	✓	0.79	✓ Answer has unresolved integrals	4.222
1669	chapter 7 5.2	Problem 2	✓	1.004	✓ Answer has unresolved integrals	2.147
1670	chapter 7 5.2	Problem 3	✓ Generated internal errors from solve : inconsistent or redundant transcendental equation	0.098	✓ Answer has unresolved integrals and RootOf	0.936
1671	chapter 7 5.2	Problem 4	✗	0.459	✓	0.628
1672	chapter 7 5.2	Problem 5	✓	2.662	✓	1.159
1673	chapter 7 6.1	Problem 1	✓	0.204	✓	0.418
1674	chapter 7 6.1	Problem 2	✓	0.267	✓	0.29
1675	chapter 7 6.1	Problem 3	✓	0.128	✓	0.979
1676	chapter 7 6.1	Problem 4	✓	142.39	✓	4.632
1677	chapter 7 6.1	Problem 5	✓	3.76	✓	1.175
1678	chapter 7 6.1	Problem 6	✗	2.262	✓	7.192
1679	chapter 7 6.2	Problem 1	✓	0.221	✓	0.196
1680	chapter 7 6.2	Problem 2	✓	1.333	✓	0.284
1681	chapter 7 6.2	Problem 3	✓	0.303	✓	0.483
1682	chapter 7 6.2	Problem 4	✓	141.872	✓	2.701
1683	chapter 7 6.2	Problem 5	✓	3.225	✓	0.735
1684	chapter 7 6.2	Problem 6	✗	2.192	✓	3.971
1685	chapter 7 6.3	Problem 1	✓	0.174	✓	0.204
1686	chapter 7 6.3	Problem 2	✓	0.381	✓	1.102
1687	chapter 7 6.3	Problem 3	✓	0.248	✓	0.776
1688	chapter 7 6.3	Problem 4	✓	41.73	✓	4.167
1689	chapter 7 6.3	Problem 5	✗	1.544	✓	3.048
1690	chapter 7 6.4	Problem 1	✓	0.172	✓	0.223
1691	chapter 7 6.4	Problem 2	✓	0.498	✓	3.833
1692	chapter 7 6.4	Problem 3	✓	0.244	✓	0.945
1693	chapter 7 6.4	Problem 4	✓	45.61	✓	4.146
1694	chapter 7 6.4	Problem 5	✓	3.004	✓	4.863
1695	chapter 7 6.2	Problem 6	✗	1.563	✓	3.846
1696	chapter 7 6.5	Problem 1	✓	0.293	✓	0.039
1697	chapter 7 6.5	Problem 2	✗	71.752	✓	2.488
1698	chapter 7 6.5	Problem 3	✗	36.732	✓	4.161
1699	chapter 7 6.5	Problem 4	✗ (Timed out)	600.	✓	4.167
1700	chapter 7 6.5	Problem 5	✗	11.912	✓	1.197
1701	chapter 7 7.1	Problem 1	✓	0.076	✓	0.128
1702	chapter 7 7.1	Problem 2	✓	0.702	✓	0.786
1703	chapter 7 7.1	Problem 3	✗	0.461	✓	0.697
1704	chapter 7 7.1	Problem 4	✗	0.798	✓	0.763
1705	chapter 7 7.1	Problem 5	✗ Generates Solve::incnst: Inconsistent or redundant transcendental equation	0.395	✗ (Timed out)	600.
1706	chapter 7 7.1	Problem 6	✗ Generates Solve::incnst: Inconsistent or redundant transcendental equation	0.317	✗ (Timed out)	600.
1707	chapter 7 7.2	Problem 1	✓	0.104	✓ Answer contains unresolved integrals	0.172
1708	chapter 7 7.2	Problem 2	✓	0.562	✓	0.202
1709	chapter 7 7.2	Problem 3	✗	0.408	✓	0.398
1710	chapter 7 7.2	Problem 4	✗	0.41	✓	2.897
1711	chapter 7 7.2	Problem 5	✗	0.476	✓	1.6
1712	chapter 7 7.3	Problem 1	✓	0.38	✓	0.17
1713	chapter 7 7.3	Problem 2	✓	0.182	✓	0.4
1714	chapter 7 7.3	Problem 3	✗	0.245	✓	0.317
1715	chapter 7 7.3	Problem 4	✗	0.399	✓	104.013
1716	chapter 7 7.3	Problem 5	✓	0.298	✓	0.681
1717	chapter 7 7.4	Problem 1	✓	0.42	✓	0.253
1718	chapter 7 7.4	Problem 2	✓	0.14	✓	0.148
1719	chapter 7 7.4	Problem 3	✗	0.256	✓	0.279
1720	chapter 7 7.4	Problem 4	✗	0.508	✓	0.498
1721	chapter 7 7.4	Problem 5	✓	0.281	✓	0.076
1722	chapter 7 8.1	Problem 1	✓	0.019	✓	0.131
1723	chapter 7 8.1	Problem 2	✓	0.167	✓	0.058
1724	chapter 7 8.1	Problem 3	✓	0.076	✓	0.019
1725	chapter 7 8.1	Problem 4	✓	0.329	✓	1.357
1726	chapter 7 8.1	Problem 5	✗	0.257	✗	1.556
1727	chapter 7 8.1	Problem 6	✗	24.515	✓ Gives Warning: Incomplete separation	28.658
1728	chapter 7 8.1	Problem 7	✓	0.588	✓	0.396
1729	chapter 7 8.1	Problem 8	✗	0.381	✓	0.225
1730	chapter 7 8.1	Problem 9	✗	0.647	✓	0.286
1731	chapter 7 8.2	Problem 1	✗	0.143	✓	0.05
1732	chapter 7 8.2	Problem 2	✗	0.179	✓	0.438
1733	chapter 7 8.2	Problem 3	✗	0.184	✓	0.033
1734	chapter 7 8.2	Problem 4	✓	0.251	✓	3.878
1735	chapter 7 8.2	Problem 5	✓	0.997	✓	1.02
1736	chapter 7 8.2	Problem 6	✗	38.588	✗	83.688
1737	chapter 7 8.2	Problem 7	✗	0.313	✓	1.225
1738	chapter 7 8.2	Problem 8	✗	0.246	✓	6.164
1739	chapter 7 8.3	Problem 1	✓ Kernel message inconsistent or redundant transcendental equation	0.036	✓	0.064
1740	chapter 7 8.3	Problem 2	✗	0.039	✓	0.069
1741	chapter 7 8.3	Problem 3	✓	0.042	✓	0.042
1742	chapter 7 8.3	Problem 4	✗	0.087	✓	0.056
1743	chapter 7 8.3	Problem 5	✓	0.627	✓	1.895
1744	chapter 7 8.3	Problem 6	✗ (Timed out)	600.	✓	2.96
1745	chapter 7 8.3	Problem 7	✗	3.535	✓	5.649
1746	chapter 7 8.3	Problem 8	✗	0.289	✓	8.274
1747	chapter 7 8.3	Problem 9	✗	0.199	✓	8.016
1748	chapter 7 8.3	Problem 10	✗	48.978	✗	1.589
1749	chapter 7 8.3	Problem 11	✗	0.1	✗	0.824
1750	chapter 8 2.1	Problem 1	✓	0.023	✓	0.107
1751	chapter 8 2.1	Problem 2	✓	0.094	✓	0.352
1752	chapter 8 2.1	Problem 3	✓	0.022	✓	0.125
1753	chapter 8 2.1	Problem 4	✓	0.426	✓	0.254
1754	chapter 8 2.1	Problem 5	✓	0.08	✓	0.101
1755	chapter 8 2.1	Problem 6	✓	0.085	✓	0.089
1756	chapter 8 2.1	Problem 7	✓	0.059	✓	0.166
1757	chapter 8 2.1	Problem 8	✗	0.023	✓	0.863
1758	chapter 8 2.1	Problem 9	✓	0.813	✓	0.177
1759	chapter 8 2.2	Problem 1	✓	0.069	✓	0.049
1760	chapter 8 2.2	Problem 2	✓	0.021	✓	0.027
1761	chapter 8 2.2	Problem 3	✓	0.089	✓	0.03
1762	chapter 8 2.2	Problem 4	✓	0.583	✓	0.45
1763	chapter 8 2.2	Problem 5	✓	0.135	✓	0.154
1764	chapter 8 2.2	Problem 6	✓	0.149	✓	0.207
1765	chapter 8 2.2	Problem 7	✓	0.117	✓	0.063
1766	chapter 8 2.2	Problem 8	✓	0.108	✓	0.034
1767	chapter 8 2.2	Problem 9	✓	0.135	✓	0.065
1768	chapter 8 2.3	Problem 1	✓	0.012	✓	0.072
1769	chapter 8 2.3	Problem 2	✓	0.016	✓	0.075
1770	chapter 8 2.3	Problem 3	✓	0.038	✓	0.039
1771	chapter 8 2.3	Problem 4	✓	0.073	✓	0.439
1772	chapter 8 2.3	Problem 5	✓	0.107	✓	0.082
1773	chapter 8 2.4	Problem 1	✓	0.179	✓	0.072
1774	chapter 8 2.4	Problem 2	✓	0.127	✓	0.046
1775	chapter 8 2.4	Problem 3	✓	0.082	✓	0.322
1776	chapter 8 2.4	Problem 4	✓	0.111	✓	1.003
1777	chapter 8 2.4	Problem 5	✓	0.03	✓	0.299
1778	chapter 8 2.4	Problem 6	✗	0.029	✓	0.148
1779	chapter 8 2.4	Problem 7	✗	0.485	✓	0.346
1780	chapter 8 2.4	Problem 8	✓	3.258	✓	3.258
1781	chapter 8 2.4	Problem 9	✓	1.231	✓	5.641
1782	chapter 8 2.4	Problem 10	✓	0.811	✓	1.282
1783	chapter 8 2.4	Problem 11	✗	22.052	✓	5.731
1784	chapter 8 2.4	Problem 12	✓	0.03	✓	0.066
1785	chapter 8 2.4	Problem 13	✓	0.392	✓	0.572
1786	chapter 8 3.1	Problem 1	✓	0.027	✓	0.076
1787	chapter 8 3.1	Problem 2	✓	0.157	✓	0.086
1788	chapter 8 3.1	Problem 3	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	2.431	✓	0.192
1789	chapter 8 3.1	Problem 4	✗	1.84	✓	0.924
1790	chapter 8 3.1	Problem 5	✓	0.421	✓	0.202
1791	chapter 8 3.1	Problem 6	✗	2.059	✓	0.671
1792	chapter 8 3.1	Problem 7	✓	0.979	✓	3.042
1793	chapter 8 3.1	Problem 8	✓	0.956	✓	1.213
1794	chapter 8 3.2	Problem 1	✓	0.304	✓	1.209
1795	chapter 8 3.2	Problem 2	✓	0.246	✓	0.089
1796	chapter 8 3.2	Problem 3	✓	0.21	✓	0.247
1797	chapter 8 3.2	Problem 4	✓	0.388	✓	0.259
1798	chapter 8 3.2	Problem 5	✓	0.321	✓	1.253
1799	chapter 8 3.2	Problem 6	✗	39.386	✓	131.136
1800	chapter 8 3.2	Problem 7	✗	13.278	✗	545.356
1801	chapter 8 3.2	Problem 8	✗	23.463	✗ (Timed out)	600.
1802	chapter 8 3.2	Problem 9	✓	0.819	✓	0.437
1803	chapter 8 3.2	Problem 10	✗	1.203	✓	0.813
1804	chapter 8 3.2	Problem 11	✓	1.227	✓	2.2
1805	chapter 8 4.1	Problem 1	✓	0.039	✓	0.209
1806	chapter 8 4.1	Problem 2	✓	38.329	✓	0.204
1807	chapter 8 4.1	Problem 3	✓	0.133	✓	0.218
1808	chapter 8 4.1	Problem 4	✓	19.097	✓	0.425
1809	chapter 8 4.1	Problem 5	✗	3.101	✓	1.471
1810	chapter 8 4.2	Problem 1	✓	0.044	✓	0.102
1811	chapter 8 4.2	Problem 2	✓	34.581	✓	0.147
1812	chapter 8 4.2	Problem 3	✓	0.127	✓	0.002
1813	chapter 8 4.2	Problem 4	✓	14.597	✓	0.174
1814	chapter 8 4.2	Problem 5	✗	3.14	✓	0.814
1815	chapter 8 4.3	Problem 1	✓	0.043	✓	0.158
1816	chapter 8 4.3	Problem 2	✓	97.603	✓	2.93
1817	chapter 8 4.3	Problem 3	✓	0.115	✓	0.019
1818	chapter 8 4.3	Problem 4	✗	0.864	✓	5.211
1819	chapter 8 4.3	Problem 5	✓	1.07	✓	2.758
1820	chapter 8 4.3	Problem 6	✗	2.693	✓	1.201
1821	chapter 8 4.4	Problem 1	✓	0.035	✓	0.18
1822	chapter 8 4.4	Problem 2	✓	70.904	✓	3.239
1823	chapter 8 4.4	Problem 3	✓	0.108	✓	0.046
1824	chapter 8 4.4	Problem 4	✗	0.873	✓	0.854
1825	chapter 8 4.4	Problem 5	✓	1.461	✓	0.814
1826	chapter 8 4.4	Problem 6	✗	2.423	✓	0.875
1827	chapter 8 4.5	Problem 1	✓	23.1	✓	0.1
1828	chapter 8 4.5	Problem 2	✓	0.12	✓	0.072
1829	chapter 8 4.5	Problem 3	✗	191.083	✓	0.749
1830	chapter 8 4.5	Problem 4	✓	0.115	✓	0.02
1831	chapter 8 4.5	Problem 5	✓	0.48	✓	0.725
1832	chapter 8 5.1	Problem 1	✓	0.021	✓	0.021
1833	chapter 8 5.1	Problem 2	✓	0.053	✓	0.102
1834	chapter 8 5.1	Problem 3	✓	0.054	✓	0.026
1835	chapter 8 5.1	Problem 4	✗	0.502	✓	0.346
1836	chapter 8 5.1	Problem 5	✗	0.016	✓	0.324
1837	chapter 8 5.2	Problem 1	✗	0.345	✓	0.731
1838	chapter 8 5.2	Problem 2	✓	0.808	✓	0.113
1839	chapter 8 5.2	Problem 3	✓	0.094	✗ (Timed out)	600.
1840	chapter 8 5.2	Problem 4	✗	0.615	✓	0.527
1841	chapter 8 5.2	Problem 5	✓	0.694	✓	0.589
1842	chapter 8 6.1	Problem 1	✓	0.038	✓	0.638
1843	chapter 8 6.1	Problem 2	✓	0.253	✓	0.177
1844	chapter 8 6.1	Problem 3	✗	3.338	✓	3.368
1845	chapter 8 6.1	Problem 4	✗	73.826	✓	6.776
1846	chapter 8 6.1	Problem 5	✓	65.552	✓	2.003
1847	chapter 8 6.1	Problem 6	✗	1.362	✓	4.747
1848	chapter 8 6.2	Problem 1	✓	0.046	✓	0.236
1849	chapter 8 6.2	Problem 2	✓	1.276	✓	0.181
1850	chapter 8 6.2	Problem 3	✓	0.128	✓	0.563
1851	chapter 8 6.2	Problem 4	✗	72.667	✓	4.267
1852	chapter 8 6.2	Problem 5	✓	112.094	✓	0.902
1853	chapter 8 6.2	Problem 6	✗	1.36	✓	3.192
1854	chapter 8 6.3	Problem 1	✓	0.042	✓	0.326
1855	chapter 8 6.3	Problem 2	✓	0.385	✓	0.378
1856	chapter 8 6.3	Problem 3	✓	0.109	✓	0.618
1857	chapter 8 6.3	Problem 4	✓	31.532	✓	0.992
1858	chapter 8 6.3	Problem 5	✗	1.249	✓	2.433
1859	chapter 8 6.4	Problem 1	✓	0.043	✓	0.299
1860	chapter 8 6.4	Problem 2	✓	0.537	✓	0.454
1861	chapter 8 6.4	Problem 3	✓	0.093	✓	0.582
1862	chapter 8 6.4	Problem 4	✓	45.698	✓	9.152
1863	chapter 8 6.4	Problem 5	✗	1.221	✓	2.814
1864	chapter 8 6.5	Problem 1	✓	0.131	✓	0.604
1865	chapter 8 6.5	Problem 2	✗	74.637	✓	4.497
1866	chapter 8 6.5	Problem 3	✗	45.776	✓	6.288
1867	chapter 8 6.5	Problem 4	✗	1.874	✓	2.537
1868	chapter 8 6.5	Problem 5	✗	1.565	✓	2.057
1869	chapter 8 7.1	Problem 1	✓	0.06	✓	0.163
1870	chapter 8 7.1	Problem 2	✓	0.475	✓	0.147
1871	chapter 8 7.1	Problem 3	✗	0.234	✓	0.252
1872	chapter 8 7.1	Problem 4	✗	0.821	✓	0.727
1873	chapter 8 7.1	Problem 5	✓	0.272	✗ (Timed out)	600.
1874	chapter 8 7.1	Problem 6	✗	0.218	✓	1.518
1875	chapter 8 7.2	Problem 1	✓	0.058	✓	0.121
1876	chapter 8 7.2	Problem 2	✓	0.415	✓	0.056
1877	chapter 8 7.2	Problem 3	✗	0.401	✓	0.224
1878	chapter 8 7.2	Problem 4	✗	0.755	✓	0.2
1879	chapter 8 7.2	Problem 5	✗	0.405	✓	3.254
1880	chapter 8 7.2	Problem 6	✗	0.435	✓	0.213
1881	chapter 8 7.3	Problem 1	✓	0.18	✓	0.266
1882	chapter 8 7.3	Problem 2	✓	0.16	✓	0.376
1883	chapter 8 7.3	Problem 3	✗	0.247	✓	0.645
1884	chapter 8 7.3	Problem 4	✗	0.524	✓	223.569
1885	chapter 8 7.3	Problem 5	✓	0.286	✓	0.94
1886	chapter 8 7.4	Problem 1	✓	0.211	✓	0.161
1887	chapter 8 7.4	Problem 2	✓	0.156	✓	0.119
1888	chapter 8 7.4	Problem 3	✗	0.257	✓	0.327
1889	chapter 8 7.4	Problem 4	✗	0.502	✓	62.097
1890	chapter 8 7.4	Problem 5	✓	0.292	✓	0.868
1891	chapter 8 8.1	Problem 1	✓	0.02	✓	0.068
1892	chapter 8 8.1	Problem 2	✓	0.171	✓	0.047
1893	chapter 8 8.1	Problem 3	✓	0.076	✓	0.039
1894	chapter 8 8.1	Problem 4	✓	0.329	✓	0.813
1895	chapter 8 8.1	Problem 5	✓	0.2	✓	0.227
1896	chapter 8 8.1	Problem 6	✓	3.357	✓	1.205
1897	chapter 8 8.1	Problem 7	✓	0.611	✓	0.225
1898	chapter 8 8.1	Problem 8	✗	0.401	✓	0.384
1899	chapter 8 8.1	Problem 9	✗	0.789	✓	0.627
1900	chapter 8 8.2	Problem 1	✗	0.152	✓	0.094
1901	chapter 8 8.2	Problem 2	✗	0.199	✓	0.206
1902	chapter 8 8.2	Problem 3	✗	0.191	✓	0.054
1903	chapter 8 8.2	Problem 4	✓	0.157	✓	0.158
1904	chapter 8 8.2	Problem 5	✓	1.293	✗	5.355
1905	chapter 8 8.2	Problem 6	✗	0.374	✓	0.689
1906	chapter 8 8.2	Problem 7	✗	21.293	✗	3.347
1907	chapter 8 8.2	Problem 8	✗	20.342	✗	2.437
1908	chapter 8 8.3	Problem 1	✓	0.033	✓	0.044
1909	chapter 8 8.3	Problem 2	✗	0.039	✓	0.053
1910	chapter 8 8.3	Problem 3	✓	0.042	✓	0.033
1911	chapter 8 8.3	Problem 4	✗	0.087	✓	0.059
1912	chapter 8 8.3	Problem 5	✓	0.613	✓	1.276
1913	chapter 8 8.3	Problem 6	✗ (Timed out)	600.	✓	1.999
1914	chapter 8 8.3	Problem 7	✗	151.899	✗ (Timed out)	600.
1915	chapter 8 8.3	Problem 8	✗	21.157	✗	2.452
1916	chapter 8 8.3	Problem 9	✗	20.35	✗	1.959
1917	chapter 8 8.3	Problem 10	✗	47.921	✓	0.409
1918	chapter 8 8.3	Problem 11	✗	1.297	✗	1.971
1919	chapter 9 2.1	Problem 1	✓	0.155	✓	0.052
1920	chapter 9 2.1	Problem 2	✓	0.185	✓	1.453
1921	chapter 9 2.1	Problem 3	✓	0.099	✓	0.048
1922	chapter 9 2.1	Problem 4	✓	0.031	✓	0.025
1923	chapter 9 2.1	Problem 5	✓	0.11	✓	0.049
1924	chapter 9 2.1	Problem 6	✗ (Timed out)	600.	✗ (Timed out)	600.
1925	chapter 9 2.1	Problem 7	✓	0.121	✓	0.151
1926	chapter 9 2.1	Problem 8	✓	0.068	✓	0.024
1927	chapter 9 2.1	Problem 9	✓	0.096	✓	0.49
1928	chapter 9 2.2	Problem 1	✓	0.127	✓	0.041
1929	chapter 9 2.2	Problem 2	✓	0.057	✓	0.034
1930	chapter 9 2.2	Problem 3	✓	0.176	✓	0.053
1931	chapter 9 2.2	Problem 4	✗ (Timed out)	600.	✓	100.877
1932	chapter 9 2.2	Problem 5	✓	0.025	✓	0.052
1933	chapter 9 2.2	Problem 6	✓	0.023	✓	0.02
1934	chapter 9 2.2	Problem 7	✓	0.248	✓	0.164
1935	chapter 9 2.3	Problem 1	✓	0.064	✓	0.051
1936	chapter 9 2.3	Problem 2	✓	0.087	✓	0.045
1937	chapter 9 2.3	Problem 3	✓	0.067	✓	0.06
1938	chapter 9 2.3	Problem 4	✗ (Timed out)	600.	✓	13.013
1939	chapter 9 2.3	Problem 5	✓	0.233	✓	0.19
1940	chapter 9 2.4	Problem 1	✓	0.049	✓	0.145
1941	chapter 9 2.4	Problem 2	✓	0.043	✓	0.04
1942	chapter 9 2.4	Problem 3	✓	0.111	✓	0.75
1943	chapter 9 2.4	Problem 4	✓	0.043	✓	0.145
1944	chapter 9 2.4	Problem 5	✓	0.021	✓	0.052
1945	chapter 9 2.4	Problem 6	✓	0.077	✓	0.145
1946	chapter 9 2.4	Problem 7	✓	5.42	✓	6.419
1947	chapter 9 2.4	Problem 8	✓	14.904	✓	3.823
1948	chapter 9 2.4	Problem 9	✗	49.247	✗ (Timed out)	600.
1949	chapter 9 2.4	Problem 10	✓	0.032	✓	0.159
1950	chapter 9 2.4	Problem 11	✓	0.055	✓	0.526
1951	chapter 9 2.4	Problem 12	✗	0.028	✓	1.09
1952	chapter 9 2.4	Problem 13	✓	2.923	✓	2.589
1953	chapter 9 2.4	Problem 14	✓	0.522	✓	0.405
1954	chapter 9 3.1	Problem 1	✓	0.063	✓	0.066
1955	chapter 9 3.1	Problem 2	✓	0.081	✓	0.083
1956	chapter 9 3.1	Problem 3	✓	0.113	✓	0.051
1957	chapter 9 3.1	Problem 4	✓	0.137	✓	0.065
1958	chapter 9 3.1	Problem 5	✗	2.496	✓	3.602
1959	chapter 9 3.1	Problem 6	✓	1.533	✓	1.071
1960	chapter 9 3.1	Problem 7	✗	87.632	✓	33.793
1961	chapter 9 3.2	Problem 1	✓	0.077	✓	0.069
1962	chapter 9 3.2	Problem 2	✓	0.091	✓	0.073
1963	chapter 9 3.2	Problem 3	✗	0.158	✓	0.255
1964	chapter 9 3.2	Problem 4	✗	2.433	✓	3.51
1965	chapter 9 3.2	Problem 5	✓	2.686	✓	1.229
1966	chapter 9 3.2	Problem 6	✗	2.495	✓	2.212
1967	chapter 9 3.2	Problem 7	✓	0.233	✓	1.226
1968	chapter 9 3.2	Problem 8	✓	1.405	✓	0.645
1969	chapter 9 3.2	Problem 9	✗ (Timed out)	600.	✓	1.937
1970	chapter 9 3.2	Problem 10	✗	1.8	✓	1.826
1971	chapter 9 4.1	Problem 1	✓	134.028	✓	0.277
1972	chapter 9 4.1	Problem 2	✓	3.037	✓	1.575
1973	chapter 9 4.1	Problem 3	✓	0.168	✓	0.378
1974	chapter 9 4.1	Problem 4	✗	182.157	✓	0.658
1975	chapter 9 4.1	Problem 5	✓	148.501	✓	2.674
1976	chapter 9 4.2	Problem 1	✓	135.461	✓	0.21
1977	chapter 9 4.2	Problem 2	✓	3.06	✓	0.312
1978	chapter 9 4.2	Problem 3	✓	0.17	✓	0.18
1979	chapter 9 4.2	Problem 4	✗	193.658	✓	0.441
1980	chapter 9 4.2	Problem 5	✓	147.124	✓	2.207
1981	chapter 9 4.3	Problem 1	✓	72.966	✓	0.236
1982	chapter 9 4.3	Problem 2	✓	4.233	✓	4.054
1983	chapter 9 4.3	Problem 3	✓	0.257	✓	0.352
1984	chapter 9 4.3	Problem 4	✗	213.761	✓	0.975
1985	chapter 9 4.3	Problem 5	✓	266.748	✓	1.306
1986	chapter 9 4.4	Problem 1	✓	71.503	✓	0.26
1987	chapter 9 4.4	Problem 2	✓	28.464	✓	0.767
1988	chapter 9 4.4	Problem 3	✓	0.239	✓	0.571
1989	chapter 9 4.4	Problem 4	✗	207.308	✓	0.884
1990	chapter 9 4.4	Problem 5	✓	266.225	✓	1.171
1991	chapter 9 4.5	Problem 1	✓	138.364	✓	0.063
1992	chapter 9 4.5	Problem 2	✓	59.089	✓	0.141
1993	chapter 9 4.5	Problem 3	✗	193.084	✓	0.174
1994	chapter 9 4.5	Problem 4	✓	0.252	✓	0.03
1995	chapter 9 4.5	Problem 5	✓	147.501	✓	1.009
1996	chapter 9 5.1	Problem 1	✓	0.074	✓	0.084
1997	chapter 9 5.1	Problem 2	✓	0.091	✓	0.166
1998	chapter 9 5.1	Problem 3	✗	0.056	✓	0.181
1999	chapter 9 5.1	Problem 4	✗	0.238	✓	1.628
2000	chapter 9 5.1	Problem 5	✓	1.392	✓	111.546

Handbook of nonlinear partial differential equations

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
2001	chapter 1 1.1	Problem 1	✗	0.302	✗	3.853
2002	chapter 1 1.1	Problem 2	✓	0.072	✓	0.348
2003	chapter 1 1.2	Problem 1	✗	0.079	✗	5.274
2004	chapter 1 1.2	Problem 2	✗	0.09	✓	0.35
2005	chapter 1 1.2	Problem 3	✗	0.179	✓	0.379
2006	chapter 1 1.2	Problem 4	✗	0.16	✓	0.548
2007	chapter 1 1.2	Problem 5	✗	0.88	✓	2.737
2008	chapter 1 1.3	Problem 1	✗	0.01	✗	0.04
2009	chapter 1 1.3	Problem 2	✗	0.011	✗	0.013
2010	chapter 1 1.3	Problem 3	✗	0.018	✗	0.068
2011	chapter 1 1.3	Problem 4	✗	0.019	✗	0.019
2012	chapter 1 1.4	Problem 1	✗	0.015	✗	0.013