1.4 Result lookup table on one web page

Miscellaneous PDE’s

Table 1.18: 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 \(u_t+ u_x = 0\)	✓	0.031	✓	0.097	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	✓	0.128	Yes	Yes
3	General first order	Transport equation \(u_t+2 u_x = 0\) IC \(u(-1,x)=\frac {x}{1+x^2}\). Peter Olver textbook, 2.2.2 (b)	✓	0.006	✓	0.125	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)	✓	0.004	✓	0.149	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	✓	0.161	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	✓	0.046	✓	0.21	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	✓	0.012	✓	0.228	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	✓	0.005	✓	0.215	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	✓	0.048	✓	0.29	Yes	Yes
10	General first order	Transport equation \(u_t+\frac {1}{x^2+4} u_x= 0\) IC \(u(x,0)=e^{x^3+12 x}\)	✓	0.008	✓	0.275	Yes	Yes
11	General first order	\(3 u_x + 5 u_y = x\)	✓	0.005	✓	0.113	Yes
12	General first order	\(x u_y + y u_x = -4 x y u\) and \(u(x,0)=e^{-x^2}\)	✓	0.019	✓	0.241	Yes
13	General first order	\(u_t + u_x = 0\) and \(u(x,0)=\sin x\) and \(u(0,t)=0\)	✓	0.122	✓	0.384	Yes
14	General first order	\(u_t+ c u_x = 0\) and \(u(x,0)=e^{-x^2}\)	✓	0.005	✓	0.128	Yes
15	General first order	(Haberman 12.2.2) \(\omega _t -3 \omega _x = 0\) and \(\omega (x,0)=\cos x\)	✓	0.005	✓	0.141	Yes
16	General first order	(Haberman 12.2.4) \(\omega _t +c \omega _x = 0\) and \(\omega (x,0)=f(x)\) and \(\omega (0,t)=h(t)\)	✗	1.75	✓ Solution contains unresolved invlaplace calls	0.418	Yes
17	General first order	(Haberman 12.2.5 (a)) \(\omega _t +c \omega _x = e^{2 x}\) and \(\omega (x,0)=f(x)\)	✓	0.057	✓	0.169	Yes
18	General first order	(Haberman 12.2.5 (d)) \(\omega _t +3 t \omega _x = \omega (x,t)\) and \(\omega (x,0)=f(x)\)	✓	0.392	✓	0.281	Yes
19	General first order	\( 2 u_x + 5 u_y = u^2(x,y) + 1\)	✓	0.087	✓	0.214	Yes
20	General first order	Clairaut equation \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\)	✓	0.041	✓	0.224	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	✓	0.829
22	General first order	Clairaut equation. \(u = x u_x+ y u_y + \sin ( u_x + u_y )\)	✓	0.034	✓	0.067
23	General first order	Recover a function from its gradient vector	✓	0.045	✓	0.267
24	General first order	\(x f_y - f_x = \frac {g(x)}{h(y)} f^2\)	✓	0.034	✓	0.174	Yes
25	General first order	\(f_x + (f_y)^2 = f(x,y,z)+z\)	✓	0.067	✓	0.627
26	General first order	\(x u_x+y u_y=u\) (Example 3.5.1 in Lokenath Debnath)	✓	0.017	✓	0.104	Yes
27	General first order	\(x u_x+y u_y=n u\) Example 3.5.2 in Lokenath Debnath	✓	0.013	✓	0.105	Yes
28	General first order	\(x^2 u_x+y^2 u_y=(x+y) u\) Example 3.5.3 in Lokenath Debnath	✓	0.069	✓	0.153	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)	✓	9.864	✓	4.685	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)	✓	0.257	✓	0.858	Yes
31	General first order	\(u_x-u_y=1\) with \(u(x,0)=x^2\) Example 3.5.6 in Lokenath Debnath	✓	0.006	✓	0.11
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	✗	1.238	✗	0.589
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	✓	0.105	✓	0.16
34	General first order	\(u_t+u u_x=x\) with \(u(x,0)=f(x)\) Example 3.5.11 in Lokenath Debnath.	✗	2.793	✓	0.517
35	General first order	\(u_x=0\) Problem 3.3(a) Lokenath Debnath	✓	0.004	✓	0.07
36	General first order	\(a u_x+b u_y=0\) Problem 3.3(b) Lokenath Debnath	✓	0.007	✓	0.155
37	General first order	\(u_x+y u_y=0\) Problem 3.3(c) Lokenath Debnath	✓	0.021	✓	0.238
38	General first order	\((1+x^2) u_x+ u_y=0\) Problem 3.3(d) Lokenath Debnath	✓	0.009	✓	0.198
39	General first order	\(2 x y u_x+(x^2+y^2)u_y=0\) Problem 3.3(e) Lokenath Debnath	✓	0.073	✓	0.373
40	General first order	\((y+u) u_x+y u_y=x-y\) Problem 3.3(f) Lokenath Debnath	✓	7.176	✓	0.912
41	General first order	\(y^2 u_x- x y u_y=x(u-2 y)\) Problem 3.3(g) Lokenath Debnath	✓	0.07	✓	0.421
42	General first order	\(y u_y - x u_x = 1\) Problem 3.3(h) Lokenath Debnath	✓	0.014	✓	0.202
43	General first order	\(u_x+2 x y^2 u_y=0\) Problem 3.4 Lokenath Debnath	✓	0.048	✓	0.22
44	General first order	\(3 u_x+2 u_y=0\) with \(u(x,0)=\sin x\). Problem 3.5(a) Lokenath Debnath	✓	0.004	✓	0.195
45	General first order	\(y u_x+x u_y=0\) with \(u(0,y)=e^{-y^2}\). Problem 3.5(b) Lokenath Debnath	✓	0.017	✓	0.492
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	✓	0.011	✓	0.179
47	General first order	\(u_x+x u_y=0\) with \(u(0,y)=\sin y\). Problem 3.5(d) Lokenath Debnath	✓	0.006	✓	0.237
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	✗	2.921	✗	0.812
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	✓	0.008	✓	0.314
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	✓	0.014	✓	0.179
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	✓	0.031	✓	0.417
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	✓	0.021	✓	0.402
53	General first order	\(x u_x+y u_y+z u_z=0\) Problem 3.8(a) .Lokenath Debnath	✓	0.023	✓	0.17
54	General first order	\(x^2 u_x+y^2 u_y+z(x+y)u_z=0\) Problem 3.8(b) Lokenath Debnath	✓	0.051	✓	0.307
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	✓	0.023	✓	1.173
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	✓	0.058	✓	0.379
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	✗	35.91	✗	0.457
58	General first order	\(u_x+x u_y=y\) with \(u(0,y)=y^2\) Problem 3.9(a) Lokenath Debnath	✓	0.006	✓	0.219
59	General first order	\(u_x+x u_y=y\) with \(u(1,y)=2 y\) Problem 3.9(b) Lokenath Debnath	✓	0.007	✓	0.189
60	General first order	\((u_x+u_y)^2-u^2=0\). Problem 3.10 Lokenath Debnath	✓	0.009	✓	0.189
61	General first order	\((y+u)u_x+y u_y=x-y\) with \(u(x,1)=1+x\). Problem 3.11 Lokenath Debnath	✓	14.71	✗	1.484
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	✓	0.022	✓	0.297
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	✓	0.022	✓	0.28
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	✓	0.023	✓	0.387
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	✓	0.016	✓	0.178
66	General first order	\(u_x+u u_y=1\) with \(u(0,y)=a y\). Problem 3.16(a) Lokenath Debnath	✓	0.051	✓	0.275
67	General first order	\((y+u)u_x+(x+u)u_y=x+y\). Problem 3.17(a) Lokenath Debnath	✗	230.268	✓	1.62
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	✓	0.037	✓	0.28
69	General first order	\((x+y) u_x + (x-y)u_y =0\). Problem 3.17(c) Lokenath Debnath	✓	0.039	✓	0.947
70	General first order	\(y u_x - x u_y = e^u\) with \(u(0,y)=y^2-1\)	✓	0.099	✓	0.634	Yes
71	General first order	\(y u_x - x u_y = e^u\)	✓	0.048	✓	0.503	Yes
72	General first order	\(u_t + x u_x = 0\) with \(u(x,0)=x^2\). Math 5587	✓	0.011	✓	0.377	Yes
73	General first order	\(u_t + t u_x = 0\) with \(u(x,0)=e^x\)	✓	0.018	✓	0.457	Yes
74	General first order	\(2 u_x + 3 u_y = 1\)	✓	0.009	✓	0.162	Yes
75	General first order	\(x u_t - t u_x = 0\)	✓	0.019	✓	0.334	Yes
76	General first order	\(u_t + u_x = 0\) with \(u(x,1)=\frac {x}{1+x^2}\)	✓	0.007	✓	0.206	Yes
77	General first order	\(u_x u_y = 1\)	✓	0.004	✓	0.152	Yes
78	General first order	\(u_x u_y = u\) with \(u(x,0)=0,u(0,y)=0\)	✓	1.279	✓	0.436	Yes
79	Solved by factoring into two transport equations	\(u_{xx} + u_{xt} - 6 u_{tt} = 0\)	✓	0.027	✓	0.325	Yes
80	Solved by factoring into two transport equations	\(u_{xx} - u_{xt} - 12 u_{tt} = 0\)	✓	0.013	✓	0.491	Yes
81	Solved by factoring into two transport equations	\(u_{xx} - 3 u_{xt} - 4 u_{tt} = 0\)	✓	0.014	✓	2.669	Yes
82	Solved by factoring into two transport equations	\(u_{tt} - 2 u_{xt} - 3 u_{xx} = 0\) with \(u(0,x)=x^2, u_t(x,0)=e^x\)	✓	0.014	✓	2.492
83	Schrodinger PDE	Logan textbook, page 30	✓	0.406	✓	0.879
84	Schrodinger PDE	In a square, zero potential	✓	0.306	✓	3.28
85	Schrodinger PDE	From Mathematica help pages	✓	0.42	✓	1.514
86	Schrodinger PDE	From Mathematica help pages	✓	0.008	✗ Trivial solution. Maple does not support \(\infty \) in boundary conditions	1.974
87	Schrodinger PDE	David Griffiths, page 47	✓	30.775	✓	1.25
88	Schrodinger PDE	David Griffiths, page 47	✓	0.325	✓	0.796
89	Schrodinger PDE	In a square	✓	0.307	✓	3.898
90	Beam PDE	Beam PDE \(u_{tt} + u_{xxxx} = 0\)	✓	2.485	✓	0.386
91	Burger’s PDE	Inviscid Burgers \(u_x + u u_y = 0\)	✓ Implicit solution	0.03	✓	0.215	Yes
92	Burger’s PDE	Inviscid Burgers with I.C. \(u_x+ u u_y = 0\) and \(u(x,0)=\frac {1}{x+1}\)	✓	0.01	✓	0.26	Yes
93	Burger’s PDE	\(u_t+ u u_x = \mu u_{xx}\)	✓	0.029	✓	0.267
94	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) with IC	✓	11.242	✗	0.621
95	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) IC as UnitBox	✓	23.532	✗	0.46
96	Black Scholes PDE	classic Black Scholes model from finance, European call version	✓	5.177	✓	0.786
97	Black Scholes PDE	Boundary value problem for the Black Scholes equation	✓	1.849	✓	1.307
98	Korteweg-deVries PDE	\(u_{xxx} + u_t -6 u u_x = 0\)	✓	0.029	✓	0.165
99	Tricomi PDE	\(u_{xx} + y u_{yy} = 0\) with \(u(x,0)=0,u_y(x,0)=x^2\)	✓	8.326	✓	2.058
100	Tricomi PDE	\(u_{xx} + x u_{yy} = 0\)	✗	0.011	✓	1.035
101	Keldysh equation	\(x u_{xx} + u_{yy} = 0\)	✗	0.007	✓	1.319
102	Euler-Poisson-Darboux equation	\(u_{xx} + u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.01	✓	0.31
103	Euler-Poisson-Darboux equation	\(u_{xx} - u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.009	✓	0.515
104	Euler-Poisson-Darboux equation	\(u_{tt} - u_{xx} - \frac {2}{x} u_x = 0\) with \(u(x,0)=0,u_t(x,0)=g(x)\)	✗	2.679	✓	2.225
105	Chaplygin’s equation	\(u_{\theta \theta }+\frac {v^2}{1-\frac {v^2}{c^2}} u_{vv} + v u_v=0\)	✗	0.037	✓	0.82
106	Cauchy Riemann PDE’s	Cauchy Riemann PDE with Prescribe the values of \(u\) and \(v\) on the \(x\) axis	✓	0.005	✓	0.185
107	Cauchy Riemann PDE’s	Cauchy Riemann PDE With extra term on right side	✗	0.003	✓	0.225
108	Hamilton-Jacobi PDE	Hamilton-Jacobi type PDE	✗	0.041	✓	0.342
109	Airy PDE	\(u_t + u_{xxx} = 0\)	✓	0.012	✓	0.235	Yes
110	Nonlinear PDE’s	Bateman-Burgers \(u_t+u u_x = \nu u_{xx}\)	✓	0.026	✓	0.165
111	Nonlinear PDE’s	Benjamin Bona Mahony \(u_t+u_x + u u+x - u_{xxt} = 0\)	✓	0.032	✓	0.18
112	Nonlinear PDE’s	Benjamin Ono \(u_t+H u_{xx} +u u_x = 0\)	✓	0.023	✓	0.162
113	Nonlinear PDE’s	Born Infeld \((1-u_t^2) u_{xx} + 2 u_x u_t u_{xt} - (1+ u_x^2) u_{tt}=0\)	✓	0.013	✓	0.222
114	Nonlinear PDE’s	Boussinesq \(u_{tt}-u_{xx}-u_{xxxx} - 3 (u^2)_{xx} = 0\)	✓	0.042	✓	0.178
115	Nonlinear PDE’s	Boussinesq type \(u_{tt}-u_{xx}-2 \alpha (u u_x)_x - \beta u_{xxtt} = 0\)	✓	0.037	✓	0.211
116	Nonlinear PDE’s	Buckmaster \( u_t = (u^4)_{xx} + (u^3)_x\)	✗	0.082	✓ Answer in terms of RootOf.	0.446
117	Nonlinear PDE’s	Camassa Holm \(u_t + 2 k u_x - u_{xxt} + 3 u u_x = 2 u_x u_{xx}+ u u_{xxx}\)	✗	0.134	✓ Answer in terms of RootOf.	1.537
118	Nonlinear PDE’s	Chaffee Infante \(u_t = u_{xx} + \lambda (u^3 - u) = 0\)	✗	0.091	✓	0.25
119	Nonlinear PDE’s	Clarke. \(\left ( \theta _t - \gamma e^\theta \right )_{tt} = \left ( \theta _t - e^\theta \right )_{xx}\)	✗	0.012	✗	0.055
120	Nonlinear PDE’s	Degasperis Procesi \(u_t - u_{xxt} + 4 u u_x = 3 u_x u_xx + u u_{xxx}\)	✗	0.132	✓ But still has unresolved ODE’s in solution	0.593
121	Nonlinear PDE’s	Dym equation \(u_t =u^3 u_{xxx}\)	✗	0.074	✓ has RootOf	0.66
122	Nonlinear PDE’s	Estevez Mansfield Clarkson \(u_{tyyy} + \beta u_y u_{yt} + \beta u_{yy} u_t + u_{tt} = 0\)	✓	0.035	✓	0.2
123	Nonlinear PDE’s	Fisher’s \(u_t = u(1-u)+u_{xx}\)	✓	0.043	✓	0.22
124	Nonlinear PDE’s	Hunter Saxton \(\left ( u_t + u u_x) \right )_x = \frac {1}{2} (u_x)^2\)	✗	0.051	✓ with RootOf	0.331
125	Nonlinear PDE’s	Kadomtsev Petviashvili \( \left ( u_t + u u_x + \epsilon ^2 u_{xxx} \right )_x + \lambda u_{yy} = 0 \)	✓	0.068	✓	0.251
126	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ \lambda u^p=0\)	✗	0.008	✗	0.073
127	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ u^2=0\)	✗	0.18	✓	0.828
128	Nonlinear PDE’s	Khokhlov Zabolotskaya \(u_{x t} - (u u_x)_x = u_{yy}\)	✗	0.063	✓	0.772
129	Nonlinear PDE’s	Korteweg de Vries (KdV) \(u_t + (u_x)^3+ 6 u u_x = 0\)	✓	0.028	✓	0.36
130	Nonlinear PDE’s	Lin Tsien \(2 u_{tx} + u_x u_{xx} - u_{yy} = 0\)	✗	0.075	✓	0.524
131	Nonlinear PDE’s	Liouville \(u_{xx} + u_{yy} +e^{\lambda u} = 0\)	✗	0.007	✗	0.103
132	Nonlinear PDE’s	Plateau \((1+u_y^2)u_{xx} - 2 u_x u_y y_{xy} + (1+u_x^2) u_{yy} = 0\)	✗	0.042	✓	0.434
133	Nonlinear PDE’s	Rayleigh \(u_{tt} - u_{xx} = \epsilon (u_t - u_t^3)\)	✗	0.074	✓ Has RootOf	0.52
134	Nonlinear PDE’s	Sawada Kotera \(u_t + 45 u^2 u_x + 15 u_x u_{xx} + 15 u u_{xxx} + u_{xxxxx} = 0 \)	✓	0.078	✓	0.397
135	Nonlinear PDE’s	Sine Gordon \(\phi _{tt} - \phi _{xx} + \sin \phi = 0\)	✗	0.009	✗	0.088
136	Nonlinear PDE’s	Sinh Gordon \( u_{xt} = \sinh u\)	✗	0.007	✗	0.154
137	Nonlinear PDE’s	Sinh Poisson \(u_{xx}+u_{yy} + \sinh u=0\)	✗	0.007	✗	0.083
138	Nonlinear PDE’s	Thomas equation \( u_{xy} + \alpha u_x + \beta u_y+ \nu u_x u_y =0\)	✗	0.061	✓	0.951
139	Nonlinear PDE’s	phi equation \(\phi _{tt} - \phi _{xx} - \phi + \phi ^3 = 0\)	✓	0.041	✓	0.303
140	more miscellaneous	\(S S_{xy} + S_x S_y = 1\)	✗	0.042	✓	0.256
141	more miscellaneous	\(u_{rr} + u_{\theta \theta } = 0\)	✓	22.869	✓	0.87
142	more miscellaneous	\( u_{xx} + y u_{yy} = 0\)	✓	8.295	✓	2.664
143	more miscellaneous	\(u_t + u_{xxx} = 0\)	✓	0.176	✓	2.595
144	more miscellaneous	\(u_{xy} = \sin (x) \sin (y) \)	✓	2.243	✓	0.603
145	more miscellaneous	\(w_t = w_{x_1 x_1} + w_{x_2 x_2} + w_{x_3 x_3}\)	✓	1.274	✓	0.858
146	more miscellaneous	Linear PDE, initial conditions at \(t=t_0\)	✓	1.592	✓	0.706
147	more miscellaneous	second order in time, Linear PDE, initial conditions at \(t=t_0\)	✓	1.011	✓	1.607
148	more miscellaneous	Einstein-Weiner \(u_t = -\beta u_x + D u_{xx}\)	✓	0.031	✓	0.566
149	more miscellaneous	Using integral transforms.	✓	38.845	✓	2.009

Parabolic PDE’s (Diffusion)

Table 1.20: 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	✓	92.535	✓	1.555	Yes
151	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Specific initial condition	✓	25.196	✓	0.827	Yes	Yes
152	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC \(u=x(1-x)\)	✓	29.404	✓	0.912	Yes	Yes
153	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (a)	✓	0.055	✓	2.379	Yes
154	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC hat function	✓	44.575	✓	1.102	Yes	Yes
155	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (b)	✓	0.802	✓	2.872	Yes
156	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (c)	✓ but \(n=3\) should be special case	93.233	✓ handled \(n=3\) case correctly.	3.454	Yes
157	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (d)	✗ (Timed out)	600.	✓	4.566	Yes
158	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	46.186	✓	0.837	Yes
159	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	92.384	✓	0.848	Yes	Yes
160	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (general case)	✓	98.212	✓	1.603	Yes
161	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (special case)	✓	85.342	✓	1.725	Yes	Yes
162	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (general case)	✓	49.174	✓	2.31	Yes
163	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (special case)	✓	95.91	✓	2.87	Yes	Yes
164	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Math 4567 Exam	✓	26.572	✓	1.604	Yes
165	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	With source	✓	61.128	✓	4.249
166	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	special initial condition	✓	2.824	✗ (Timed out)	600.	Yes
167	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction and Euler-Cauchy Sturm-Liouville	✓	25.661	✓	2.084
168	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Using growth form reaction term	✓	152.625	✓	0.882	Yes
169	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using logistic form for reaction term	✓	3.143	✗	2.02
170	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using Aleee form for reaction term	✓	5.429	✗	2.654
171	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Haberman 2.3.8	✓	93.624	✓	1.432	Yes
172	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	93.128	✓	1.382	Yes
173	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	0.438	✓	1.442
174	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✗	40.745	✓	1.184
175	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (general case)	✓	32.546	✓	1.909	Yes
176	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (special case)	✓	92.464	✓	1.702	Yes	Yes
177	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.2 (general case)	✓	31.546	✓	1.676	Yes
178	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Left end zero, right end insulated, no source	✓	26.574	✓	1.663	Yes
179	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	One end insulated	✓	32.074	✓	1.793
180	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.7 (general case)	✓	31.743	✓	1.363	Yes
181	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	specific case	✓	23.593	✓	1.061	Yes	Yes
182	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (a)	✓	21.49	✓	4.548
183	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Both ends insulated, no source	✓	32.954	✓	1.324	Yes
184	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (b) (special case)	✓	32.144	✓	3.016	Yes
185	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (c) (special case)	✓	32.008	✓	3.414	Yes
186	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (d)	✓	31.543	✓	2.665
187	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	both ends insulated	✓	61.651	✓	2.144
188	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	2.423	✓	0.936
189	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.25	✓	58.454	✓	3.591
190	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	external source	✓	43.316	✓	9.488
191	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction (general case)	✓	91.889	✓	0.86	Yes	Yes
192	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.23	✓	95.055	✓	3.445
193	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.21	✓	93.818	✓	1.96
194	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Euler-Cauchy Sturm-Liouville	✓	32.677	✗ (Timed out)	600.	Yes
195	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	2.286	✓	1.516	Yes
196	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Mixed BC	✓	3.138	✓	2.919
197	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 8.2.1 (f)	✓	93.293	✓	2.519
198	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (general case)	✓	33.038	✓	1.873	Yes
199	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (special case)	✓	20.289	✓	1.226	Yes	Yes
200	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (general case)	✓	95.03	✓	1.502	Yes
201	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (special case)	✓	0.009	✓	1.289	Yes
202	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC, special case	✓	14.619	✓	0.94	Yes	Yes
203	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	convection heat loss	✓	7.353	✗ (Timed out)	600.	Yes
204	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	1.798	✓	2.14
205	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	62.389	✓	0.99
206	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	54.29	✓	3.592	Yes
207	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (general case)	✓	65.521	✓	3.611	Yes
208	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	64.923	✓	2.507	Yes	Yes
209	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	65.993	✓	2.413	Yes	Yes
210	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	Haberman 8.3.6 (special case)	✓	154.843	✓	2.947	Yes	Yes
211	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	BC depends on time (special case)	✓	24.685	✓	1.381
212	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). IC given	✓	4.048	✓	4.277
213	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). No IC given	✓	0.011	✗	0.62	Yes
214	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). Damped heat PDE. No IC given	✗	0.022	✗	0.801	Yes
215	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends non-homogeneous BC (general case)	✓	93.33	✓	1.871	Yes
216	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	non-homogeneous BC (special case)	✓	27.836	✓	1.088	Yes
217	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.1 (special case)	✓	92.982	✓	1.029	Yes
218	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (general case)	✓	103.13	✓	1.961	Yes
219	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (special case)	✓	154.771	✓	1.155	Yes	Yes
220	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space and time only (general case)	✓	48.597	✓	2.457	Yes
221	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (general case)	✓	86.706	✓	3.557	Yes
222	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (special case)	✓	96.834	✓	2.968	Yes	Yes
223	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends nonhomogeneous	✓	64.258	✓	2.66	Yes
224	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (a) (general case)	✓	34.899	✓	2.049	Yes
225	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (d) (general solution)	✓	103.	✓	1.771	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)	✓	128.677	✗ (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)	✓	163.229	✓	3.857	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)	✓	69.729	✓	3.34	Yes
229	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source present (special case)	✓	171.102	✓	6.242	Yes	Yes
230	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Pinchover and Rubinstein 6.17	✗	15.807	✓	2.019
231	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	nonhomogeneous BC	✓	169.105	✓	4.05
232	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.2. (a)	✓	94.926	✓	3.335	Yes
233	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.3	✓	4.935	✓	2.803
234	Diffusion in 1D Semi-infinite domain	left end constant (general case)	✓	60.028	✓	0.711	Yes
235	Diffusion in 1D Semi-infinite domain	left end constant (special case)	✓ It fail if assumption \(x>0\) is given. A bug	37.776	✓	0.7	Yes	Yes
236	Diffusion in 1D Semi-infinite domain	Logan p. 76. Left end general function of time (general case)	✓	0.454	✓	0.969	Yes
237	Diffusion in 1D Semi-infinite domain	Left end function of time (special case)	✓	30.759	✓	1.326	Yes	Yes
238	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.023	✓	0.432
239	Diffusion in 1D Semi-infinite domain	I.C. not zero	✓ due to IC/BC not zero	14.15	✓	0.692
240	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.051	✓	0.402
241	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.045	✓	1.57
242	Diffusion in 1D Semi-infinite domain	nonhomogeneous B.C.	✓	60.026	✓	0.877
243	Diffusion in 1D Semi-infinite domain	Unit triangle I.C.	✓	31.526	✓	0.918
244	Diffusion in 1D Semi-infinite domain	I.C. not at \(t=0\)	✓	5.371	✓	0.87
245	Diffusion in 1D Semi-infinite domain	Diffusion with advection	✓	2.249	✓	1.263
246	Diffusion in 1D Semi-infinite domain	Practice exam problem	✓	60.043	✓	0.65
247	Diffusion in 1D Infinite domain	Inverse exponential I.C.	✓	22.122	✓	0.617	Yes
248	Diffusion in 1D Infinite domain	Advection term	✓	0.42	✓	0.583
249	Diffusion in 1D Infinite domain	UnitBox I.C.	✓	0.118	✓	0.745
250	Diffusion in 1D Infinite domain	No source	✓	1.365	✓	1.123
251	Diffusion in 1D Infinite domain	constant as source	✓	30.401	✓	0.722
252	Diffusion in 1D Infinite domain	No intial conditions	✓	0.004	✓	0.21	Yes
253	Diffusion in 1D Infinite domain	piecewise I.C.	✓ due to i.c. not at zero	84.545	✓	0.953	Yes
254	Diffusion in 1D Infinite domain	Practice exam problem	✓	20.868	✓	0.553
255	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	No source	✓	3.275	✓	1.801
256	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Internal source term	✓	7.154	✓	2.337
257	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Articolo 6.6.3	✓	5.044	✓	3.939
258	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (General solution)	✓	0.819	✓ Cant get series solution	6.217	Yes
259	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (Specific solution)	✓	2.137	✓ Do not understand Maple solution	2.874	Yes	Yes
260	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	0.232	✓	1.7
261	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	1.152	✓	0.739
262	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.3.5 (General solution)	✓	105.809	✓	1.11	Yes
263	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	3.25	✓	1.269	Yes	Yes
264	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	2.718	✓	1.146	Yes	Yes
265	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.1	✓	3.368	✗	0.758
266	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.2	✓	3.49	✓	10.656
267	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.2.5 with \(\theta \) dependency (General case)	✓	239.203	✗	0.305	Yes
268	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (Specific example)	✓	6.781	✗	0.815	Yes	Yes
269	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (specific example)	✓	7.919	✗	0.866	Yes	Yes
270	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (General solution)	✓	2.886	✗	1.843	Yes
271	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✓	11.87	✗	1.838	Yes	Yes
272	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✗ (Timed out)	600.	✗	1.901	Yes	Yes
273	Diffusion in 3D Spherical coordinates	No angle dependencies	✓	61.011	✓ Has unresolved Laplace integrals	0.525
274	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (a)	✓	1.743	✓	9.997	Yes	Yes
275	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (b)	✓	4.68	✗	4.181	Yes	Yes
276	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (c)	✓	2.333	✗	6.657
277	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (a)	✗	0.015	✗	1.047
278	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (b)	✗	0.01	✗	1.136
279	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (c)	✗	0.012	✗	1.143

Elliptic PDE’s (Laplace, Poisson, Helmholtz)

Table 1.22: 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	✓	1.441	✓	23.392	Yes
281	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, right edge not	✓	1.6	✓	1.217	Yes
282	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge has impulse	✓	3.91	✓	9.684	Yes
283	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (a)	✓	0.857	✓	22.092
284	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (b)	✓	0.893	✓	22.111
285	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (c)	✓	3.512	✓	22.17
286	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (d)	✓	3.17	✓	34.579
287	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (e)	✓	14.115	✓	21.461	Yes
288	Laplace in 2D Cartesian coordinates	Unit triangle B.C.	✓	0.728	✓	1.904
289	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	3.233	✓	1.632	Yes
290	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	2.288	✓	1.606	Yes
291	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	2.789	✓	1.651	Yes
292	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	89.049	✓	6.302	Yes
293	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	1.348	✓	3.834
294	Laplace in 2D Cartesian coordinates	Laplace PDE in 2D Cartessian with boundary condition as Dirac function	✓	0.047	✓	0.429
295	Laplace in 2D Cartesian coordinates	One side homogeneous	✓	5.1	✓	3.404
296	Laplace in 2D Cartesian coordinates	In right half plane	✓	4.281	✓	0.585
297	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	4.281	✓	2.222
298	Laplace in 2D Cartesian coordinates	Dirichlet problem Upper half	✓	1.507	✓	0.633
299	Laplace in 2D Cartesian coordinates	Right half-plane	✓	5.029	✓	0.705
300	Laplace in 2D Cartesian coordinates	First quadrant	✓	92.86	✗	2.852
301	Laplace in 2D Cartesian coordinates	Neumann problem upper half-plane	✓	5.277	✓ used convert(sol,Int).	0.894
302	Laplace in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	2.117	✓	1.228
303	Laplace in 2D Cartesian coordinates	Strip in upper half	✓	5.131	✓	1.376
304	Laplace in 2D Cartesian coordinates	in Rectangle, right edge at infinity	✓	4.392	✓	2.306
305	Laplace in 2D Polar coordinates	Laplace PDE inside quarter disk, Neumann BC at edge	✓	2.417	✓	0.649
306	Laplace in 2D Polar coordinates	\(r=4\) and \(u=x^4\) at boundary of disk	✓	2.707	✓	2.883	Yes
307	Laplace in 2D Polar coordinates	\(r=1\) and \(u_r=x\) at boundary of disk	✗	0.4	✗	0.4	Yes
308	Laplace in 2D Polar coordinates	Laplace inside disk. General solution	✓	0.356	✓	1.209
309	Laplace in 2D Polar coordinates	Laplace inside disk. Specific boundary conditions	✓	3.399	✓	1.845	Yes
310	Laplace in 2D Polar coordinates	Haberman 2.5.5 (c)	✗	3.091	✓	0.751	Yes
311	Laplace in 2D Polar coordinates	semi-circle	✓	1.397	✓	0.683
312	Laplace in 2D Polar coordinates	Haberman 2.5.8 (b)	✓	6.32	✓	70.728	Yes
313	Laplace in 2D Polar coordinates	Circular annulus	✓	1.168	✓	1.572
314	Laplace in 2D Polar coordinates	Outside a disk	✓	4.008	✓	1.229
315	Laplace in 2D Polar coordinates	Outside a disk	✓	3.021	✓	1.928	Yes
316	Laplace in 3D Spherical coordinates	In a sphere	✓	0.056	✓	0.693
317	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (a)	✗	0.014	✗	0.628
318	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (b)	✗	0.012	✗	0.642
319	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (c)	✗	0.013	✗	0.698
320	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (d)	✗	0.012	✗	0.692
321	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (e)	✗	0.016	✗	0.712
322	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (a)	✗	0.012	✗	0.802
323	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (b)	✗	0.013	✗	4.903
324	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (c)	✗	0.016	✗	4.587
325	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (d)	✗	0.011	✗	0.773
326	Poisson in 2D Cartesian coordinates	All boundaries at zero	✗	0.014	✓	6.977	Yes
327	Poisson in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	1.232	✓	0.258
328	Poisson in 2D Cartesian coordinates	Poisson PDE in whole 2D plane	✓	30.674	✓	0.107	Yes
329	Helmholtz in 2D Cartesian coordinates	In rectangle	✓	62.649	✓	2.399
330	Helmholtz in 2D Cartesian coordinates	On whole plane	✓ why? It solved earlier with BC?	0.005	✓	0.255
331	Helmholtz in 2D Cartesian coordinates	Reduced Helmholtz Inside square	✓	61.781	✓	2.916
332	Helmholtz in 3D Spherical coordinates	Chain reaction PDE	✗	0.093	✗ trivial solution	0.707	Yes

Hyperbolic PDE’s (Wave)

Table 1.24: 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 \(0\dots L\)	✓	56.56	✓	2.944	Yes
334	Wave PDE in 1D Finite length string	both ends fixed, inital position zero (special case)	✓	1.922	✓	1.158	Yes	Yes
335	Wave PDE in 1D Finite length string	both ends fixed, inital velocity zero (special case)	✓	1.518	✓	1.221	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	✓	130.55	✓	4.77	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	✓	0.426	✓	1.542	Yes
338	Wave PDE in 1D Finite length string	Logan book, page 28. Both ends fixed	✓	0.617	✓	0.476
339	Wave PDE in 1D Finite length string	non-zero initial velocity. Both ends fixed	✓	114.736	✓	0.92
340	Wave PDE in 1D Finite length string	Logan book page 149)	✓	13.944	✓	1.034
341	Wave PDE in 1D Finite length string	Haberman 8.5.2 (a)	✓	15.499	✓	5.109
342	Wave PDE in 1D Finite length string	Haberman 8.5.2 (b)	✓	79.383	✓	4.204	Yes
343	Wave PDE in 1D Finite length string	Both I.C. not zero	✓	142.574	✓	1.571
344	Wave PDE in 1D Finite length string	With constant source	✓	65.392	✓	3.524
345	Wave PDE in 1D Finite length string	Logan page 213	✓	8.322	✓	2.791
346	Wave PDE in 1D Finite length string	Telegraphy PDE	✓	128.95	✓	1.691
347	Wave PDE in 1D Finite length string	Dispersion term present (general case)	✓ Due to adding dispersion term	94.668	✓	2.861	Yes
348	Wave PDE in 1D Finite length string	Dispersion term present	✓ Due to adding dispersion term	175.105	✓	4.205	Yes
349	Wave PDE in 1D Finite length string	Dispersion term present (specific case)	✓ Due to adding dispersion term	105.105	✓	1.926	Yes	Yes
350	Wave PDE in 1D Finite length string	non-zero initial position	✓ But sum should not include \(n=2\)	110.291	✓ Handled \(n=2\) case correctly	4.448
351	Wave PDE in 1D Finite length string	With source	✓	17.787	✓	4.07
352	Wave PDE in 1D Finite length string	Right end free (general case)	✓	25.165	✓	4.099	Yes
353	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (general case)	✓	11.492	✓	3.48	Yes
354	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (special case)	✓	70.972	✓	1.686	Yes	Yes
355	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (general case)	✓	43.742	✓	5.961	Yes
356	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, underdamped)	✓	96.738	✓	2.967	Yes	Yes
357	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, critical damped)	✓	96.689	✓	3.183	Yes	Yes
358	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, over damped)	✓	98.121	✓	3.162	Yes	Yes
359	Wave PDE in 1D Finite length string	I.C. at different times, right end free, with source	✗	34.86	✓	29.077	Yes
360	Wave PDE in 1D Finite length string	Right end oscillates	✓	72.812	✓	3.504
361	Wave PDE in 1D Finite length string	Perioidic B.C.	✗	1.94	✗	0.419
362	Wave PDE in 1D Finite length string	Mixed B.C.	✗	2.49	✗	0.372
363	Wave PDE in 1D Finite length string	Left end fixed, right end non-homogeneous Neumann BC. Zero initial conditions	✓	63.273	✓	3.765	Yes	Yes
364	Wave PDE in 1D Semi-infinite domain	Left end fixed, (general case)	✓	8.161	✓	0.394	Yes
365	Wave PDE in 1D Semi-infinite domain	Left end fixed with specific initial position	✓	2.799	✓	1.048	Yes
366	Wave PDE in 1D Semi-infinite domain	Logan page 115, left end fixed with source	✓	4.677	✓	0.399
367	Wave PDE in 1D Semi-infinite domain	Left moving boundary condition	✓	1.304	✓	0.411
368	Wave PDE in 1D Semi-infinite domain	moving Left end	✓	15.944	✓	0.817
369	Wave PDE in 1D Semi-infinite domain	I.C. at \(t=1\)	✓	7.006	✓	0.386
370	Wave PDE in 1D Semi-infinite domain	B.C. at \(x=1\)	✗	77.586	✓	0.422
371	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (general solution)	✓	8.515	✓	0.31
372	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (Special solution)	✓	3.773	✓	0.431	Yes	Yes
373	Wave PDE in 1D Semi-infinite domain	Left end fixed. zero initial velocity (Special solution)	✓	3.599	✓	0.385	Yes	Yes
374	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial position (general solution)	✓	9.447	✓	0.391
375	Wave PDE in 1D Semi-infinite domain	Left end free. Non zero initial position and velocity (general solution)	✓	30.77	✓	0.409
376	Wave PDE in 1D Semi-infinite domain	Left end free with source	✓	1.403	✓	0.286
377	Wave PDE in 1D Infinite domain	General case. \(u_{tt} = u_{xx}\) with \(u(x,0)=f(x),u_t(x,0)=g(x)\)	✓	0.022	✓	0.229
378	Wave PDE in 1D Infinite domain	General case. No IC given. \(u_{tt} + u_{xt} = c^2 u_{xx}\)	✓	0.006	✓	0.286
379	Wave PDE in 1D Infinite domain	\(u_{tt}= c^2 u_{xx} + f(x,t)\), IC at \(t=1\),\(u(x,1) = g(x),u_t(x,1)=h(x)\)	✓	0.11	✓	0.775
380	Wave PDE in 1D Infinite domain	No source. \(u_{tt} = u_{xx}\), with \(u(x,0) =e^{-x^2},u_t(x,0)=1\)	✓	0.004	✓	0.161
381	Wave PDE in 1D Infinite domain	With source term. \(u_{tt} = u_{xx} + m\)	✓	0.011	✓	0.218
382	Wave PDE in 1D Infinite domain	non-linear (Solitons) \(u_t +6 u(x,t) u_x + u_{xxx} = 0\)	✓	0.029	✓	0.175	Yes	Yes
383	Wave PDE in 1D Infinite domain	Inhomogeneous PDE \(3 u_{xx}- u_{tt} + u_{xt}=1\)	✓	0.004	✓	0.206
384	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.511	✓	0.225
385	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.003	✓	0.169
386	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	7.194	✓	0.236
387	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.003	✓	0.141	Yes	Yes
388	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.004	✓	0.323	Yes	Yes
389	Wave PDE in 1D Infinite domain	General case \(u_{tt} = u_{xx}\) with \(u(x,0)=\sin x, u_t(x,0)=-2 x e^{-x^2}\)	✓	0.099	✓	0.239
390	Wave PDE in 1D Infinite domain	General case. \(u_{tt} =u_{xx}\) dAlembert solution, box function as initial position	✓	0.003	✓	0.185	Yes	Yes
391	Wave PDE in 1D Infinite domain	\(u_{tt}=4 u_{xx}+ \cos (t)\) dAlembert solution with \(u(x,0)=\sin x,u_t(x,0)=\cos x\)	✓	1.786	✓	0.253	Yes	Yes
392	Wave PDE in 1D Infinite domain	\(u_{tt}=c^2 u_{xx}\) dAlembert solution with \(u(x,0)=\delta (x-a),u_t(x,0)=0\)	✓	81.489	✓	0.18	Yes
393	Wave PDE in 1D Infinite domain	system of 2 inhomogeneous linear hyperbolic system with constant coefficients	✓	0.211	✗	0.396
394	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, General solution	✓	1.341	✓	58.092	Yes
395	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, zero velocity. Specific example	✓	0.294	✓	2.216	Yes	Yes
396	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example	✓	32.485	✓	2.34	Yes	Yes
397	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example, delta in center	✓	8.389	✓	4.691	Yes	Yes
398	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed	✓	4.849	✓	2.317
399	Wave PDE in 2D Cartesian coordinates	All edges fixed (Haberman 8.5.5 (a)	✓	21.957	✗	0.247
400	Wave PDE in 2D Cartesian coordinates	2 edgs fixed, 2 free, zero initial velocity	✓	5.353	✓	2.994
401	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, general solution	✓	1.003	✓	174.896	Yes
402	Wave PDE in 2D Cartesian coordinates	With damping	✓	6.8	✓	6.113
403	Wave PDE in 2D Cartesian coordinates	On the whole plane	✗	0.321	✗	0.208
404	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency, fixed boundary, general case	✓	32.335	✓ Has unresolved Invlaplace calls	0.592	Yes
405	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	30.194	✓ Has unresolved Invlaplace calls	84.162
406	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	20.785	✓ Has unresolved Invlaplace calls. How to get series solution?	1.841	Yes	Yes
407	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✓	3.323	✓	1.446
408	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	2.032	✓	0.544
409	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, general solution	✓	6.547	✗	1.552	Yes
410	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, general solution	✓	3.125	✗	1.579	Yes
411	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, specific example	✓	15.046	✗	0.828	Yes	Yes
412	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position, specific example	✓	5.509	✗	0.872	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)	✗	0.034	✗	0.244	Yes
414	Wave PDE in 3D Spherical coordinates	No I.C. no B.C.	✓	0.031	✓	1.414
415	Wave PDE in 3D Cylindrical coordinates	No I.C. no B.C.	✓	0.004	✓	0.558

Handbook of first order partial differential equations

Table 1.26: 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	✓	0.009	✓	0.099
417	chapter 1	problem number 2	✓	0.008	✓	0.078
418	chapter 1	problem number 3	✓	0.016	✓	0.098	Yes
419	chapter 1	problem number 4	✓	0.013	✓	0.102
420	chapter 1	problem number 5	✓	0.029	✓	0.135	Yes
421	chapter 1	problem number 6	✓	0.033	✓	0.167
422	chapter 2 2.1	problem number 1	✓	0.009	✓	0.109	Yes
423	chapter 2 2.1	problem number 2	✓	0.012	✓	0.126	Yes
424	chapter 2 2.1	problem number 3	✓	0.073	✓	0.162	Yes
425	chapter 2 2.1	problem number 4	✓	0.021	✓	0.127	Yes
426	chapter 2 2.1	problem number 5	✓	0.02	✓	0.261	Yes
427	chapter 2 2.1	problem number 6	✓	0.033	✓	0.383	Yes
428	chapter 2 2.1	problem number 7	✓	0.046	✓	2.017	Yes
429	chapter 2 2.1	problem number 8	✗	1.862	✓	0.987
430	chapter 2 2.2	problem number 1	✓	0.009	✓	0.088
431	chapter 2 2.2	problem number 2	✓	0.114	✓	0.303
432	chapter 2 2.2	problem number 3	✓	0.129	✓	0.171
433	chapter 2 2.2	problem number 4	✓	0.397	✓	0.351
434	chapter 2 2.2	problem number 5	✓	0.456	✓	0.455
435	chapter 2 2.2	problem number 6	✓	0.384	✓	0.336
436	chapter 2 2.2	problem number 7	✓	0.376	✓	0.339
437	chapter 2 2.2	problem number 8	✓	0.385	✓	0.404
438	chapter 2 2.2	problem number 9	✓	0.227	✓	0.375
439	chapter 2 2.2	problem number 10	✗	0.166	✓	0.24
440	chapter 2 2.2	problem number 11	✗	0.213	✓	0.263
441	chapter 2 2.2	problem number 12	✓	0.596	✓	0.478
442	chapter 2 2.2	problem number 13	✓	0.082	✓	0.128
443	chapter 2 2.2	problem number 14	✓	0.209	✓	0.427
444	chapter 2 2.2	problem number 15	✓	0.35	✓	0.32
445	chapter 2 2.2	problem number 16	✓	0.673	✓	0.514
446	chapter 2 2.2	problem number 17	✓	0.735	✓	0.493
447	chapter 2 2.2	problem number 18	✓	0.233	✓	0.264
448	chapter 2 2.2	problem number 19	✓	0.346	✓	0.283
449	chapter 2 2.2	problem number 20	✗	0.245	✓	0.499
450	chapter 2 2.2	problem number 21	✗	0.214	✓	0.869
451	chapter 2 2.2	problem number 22	✓	0.376	✓	0.506
452	chapter 2 2.2	problem number 23	✓	0.376	✓	0.492
453	chapter 2 2.2	problem number 24	✗	0.314	✓	0.479
454	chapter 2 2.2	problem number 25	✗ (Timed out)	600.	✗	223.234
455	chapter 2 2.2	problem number 26	✗	219.872	✗	16.483
456	chapter 2 2.2	problem number 27	✗	101.409	✗	1.129
457	chapter 2 2.2	problem number 28	✗	0.673	✓ solution contains RootOf	0.229
458	chapter 2 2.2	problem number 29	✗	102.224	✗	1.055
459	chapter 2 2.2	problem number 30	✗	0.385	✓	0.314
460	chapter 2 2.2	problem number 31, Hesse’s equation	✗	5.154	✓	190.241
461	chapter 2 2.3	problem number 1	✓ But it can’t solve it when assuming \(b>0\) which is strange.	0.638	✓	0.594
462	chapter 2 2.3	problem number 2	✓	0.255	✓	0.325
463	chapter 2 2.3	problem number 3	✓	0.237	✓	0.906
464	chapter 2 2.3	problem number 4	✗	0.368	✓	0.614
465	chapter 2 2.3	problem number 5	✓	1.108	✓ Answer contains RootOf	0.228
466	chapter 2 2.3	problem number 6	✗	0.351	✓ Answer contains RootOf	0.222
467	chapter 2 2.3	problem number 7	✓	0.184	✓	0.367
468	chapter 2 2.3	problem number 8	✓	0.206	✓	0.352
469	chapter 2 2.3	problem number 9	✗ (Timed out)	600.	✓	0.123
470	chapter 2 2.4	problem number 1	✓	0.081	✓	0.149
471	chapter 2 2.4	problem number 2	✓	0.391	✓	0.516
472	chapter 2 2.4	problem number 3	✓	0.288	✓	0.505
473	chapter 2 2.4	problem number 4	✓	0.583	✓	0.492
474	chapter 2 2.4	problem number 5	✗	0.68	✗ (Timed out)	600.
475	chapter 2 2.4	problem number 6	✓	1.808	✓	0.579
476	chapter 2 2.4	problem number 7	✓	3.855	✓	5.917
477	chapter 2 2.5	problem number 1	✓	0.113	✓	0.252
478	chapter 2 2.5	problem number 2	✓	0.296	✓	0.53
479	chapter 2 2.5	problem number 3	✓	1.671	✓	0.296
480	chapter 2 2.5	problem number 4	✓	0.926	✓	0.877
481	chapter 2 2.5	problem number 5	✗	1.478	✓	0.68
482	chapter 2 2.5	problem number 6	✗	1.362	✓	1.052
483	chapter 2 2.5	problem number 7	✓	0.52	✓	0.301
484	chapter 2 2.5	problem number 8	✓	1.992	✓	1.167
485	chapter 2 2.5	problem number 9	✗	2.032	✓	0.96
486	chapter 2 2.5	problem number 10	✗	3.278	✓	1.676
487	chapter 2 2.5	problem number 11	✓	26.396	✗	4.524
488	chapter 2 2.5	problem number 12	✗	26.123	✗	4.009
489	chapter 2 2.5	problem number 13	✗	35.946	✗	4.983
490	chapter 2 2.5	problem number 14	✗	0.737	✓ Solution contains RootOf	0.302
491	chapter 2 2.5	problem number 15	✓	1.736	✓	2.096
492	chapter 2 2.5	problem number 16	✗	56.194	✗	26.865
493	chapter 2 2.5	problem number 17	✗	1.618	✓	0.922
494	chapter 2 2.5	problem number 18	✗	1.805	✓	1.114
495	chapter 2 2.5	problem number 19	✓	0.706	✓	1.815
496	chapter 2 2.5	problem number 20	✓	0.269	✓	0.329
497	chapter 2 2.5	problem number 21	✓	0.537	✓	0.394
498	chapter 2 2.5	problem number 22	✓	0.555	✓	0.338
499	chapter 2 2.5	problem number 23	✗	25.519	✓	0.441
500	chapter 2 2.5	problem number 24	✓	0.373	✓	0.344
501	chapter 2 2.5	problem number 25	✓	0.835	✓	0.376
502	chapter 2 2.5	problem number 26	✓	1.345	✓	0.367
503	chapter 2 2.5	problem number 27	✓	0.529	✓	0.593
504	chapter 2 2.5	problem number 28	✗	0.945	✓ Solution contains RootOf	0.317
505	chapter 2 2.5	problem number 29	✗	0.9	✓ Solution contains RootOf	0.365
506	chapter 2 2.5	problem number 30	✗	1.614	✓	1.197
507	chapter 2 2.5	problem number 31	✗	10.08	✓	1.58
508	chapter 2 2.5	problem number 32	✗	99.617	✗	23.164
509	chapter 2 2.5	problem number 33	✓	0.679	✓	0.499
510	chapter 2 2.5	problem number 34	✓	0.459	✓	0.368
511	chapter 2 2.5	problem number 35	✓	0.209	✓	0.414
512	chapter 2 2.5	problem number 36	✓	0.72	✓	0.587
513	chapter 2 2.5	problem number 37	✓	3.315	✓	0.725
514	chapter 2 2.5	problem number 38	✓	2.375	✓	0.49
515	chapter 2 2.5	problem number 39	✓	0.286	✓	0.439
516	chapter 2 2.5	problem number 40	✗	118.987	✗	24.492
517	chapter 2 2.5	problem number 41	✓	1.475	✓	0.587
518	chapter 2 2.5	problem number 42	✗	2.664	✓	0.783
519	chapter 2 2.5	problem number 43	✗	10.899	✓	2.501
520	chapter 2 2.5	problem number 44	✗	29.626	✗	9.363
521	chapter 2 2.5	problem number 45	✗	28.566	✗	11.776
522	chapter 2 2.5	problem number 46	✗	8.843	✓	4.284
523	chapter 2 2.5	problem number 47	✗	1.556	✓	0.303
524	chapter 2 2.5	problem number 48	✓	2.048	✓	1.003
525	chapter 2 2.5	problem number 49	✗	8.95	✗	7.112
526	chapter 2 2.5	problem number 50	✗	175.31	✗	5.536
527	chapter 2 2.5	problem number 51	✗	1.686	✓	0.407
528	chapter 2 2.5	problem number 52	✗	3.208	✗	2.657
529	chapter 2 2.5	problem number 53	✗	1.694	✓	0.945
530	chapter 2 2.5	problem number 54	✗	1.661	✗	2.519
531	chapter 2 2.5	problem number 55	✗ (Timed out)	600.	✗	4.637
532	chapter 2 2.5	problem number 56	✗ (Timed out)	600.	✓	1.285
533	chapter 2 3.1	problem number 1	✓	0.098	✓	0.168
534	chapter 2 3.1	problem number 2	✓	0.015	✓	0.153
535	chapter 2 3.1	problem number 3	✓	0.198	✓	0.81
536	chapter 2 3.1	problem number 4	✓	0.748	✓	0.587
537	chapter 2 3.1	problem number 5	✗	1.111	✓	0.665
538	chapter 2 3.1	problem number 6	✓	0.158	✓	0.289
539	chapter 2 3.1	problem number 7	✓	0.328	✓	0.192
540	chapter 2 3.1	problem number 8	✓	0.412	✓ Has RootOf	0.982
541	chapter 2 3.1	problem number 9	✓	0.326	✓	0.408
542	chapter 2 3.1	problem number 10	✗	0.709	✓	1.048
543	chapter 2 3.1	problem number 11	✗	2.031	✗	2.345
544	chapter 2 3.2	problem number 1	✓	0.641	✓	0.566
545	chapter 2 3.2	problem number 2	✓	1.192	✓	0.505
546	chapter 2 3.2	problem number 3	✓	0.351	✓	0.336
547	chapter 2 3.2	problem number 4	✓	0.413	✓	0.406
548	chapter 2 3.2	problem number 5	✓	0.282	✓	0.275
549	chapter 2 3.2	problem number 6	✗	3.114	✗	6.303
550	chapter 2 3.2	problem number 7	✓	0.422	✓	0.308
551	chapter 2 3.2	problem number 8	✗	1.864	✓	0.427
552	chapter 2 3.2	problem number 9	✓	1.035	✓	0.6
553	chapter 2 3.2	problem number 10	✓	1.194	✓	0.595
554	chapter 2 3.2	problem number 11	✗	3.667	✓	0.922
555	chapter 2 3.2	problem number 12	✓	1.947	✓	0.479
556	chapter 2 3.2	problem number 13	✓	0.557	✓	0.336
557	chapter 2 3.2	problem number 14	✗	31.364	✗	5.512
558	chapter 2 3.2	problem number 15	✗	1.952	✓	0.96
559	chapter 2 3.2	problem number 16	✗	23.016	✗	4.137
560	chapter 2 3.2	problem number 17	✓	1.429	✓	0.889
561	chapter 2 3.2	problem number 18	✗	26.928	✗	3.621
562	chapter 2 3.2	problem number 19	✓	0.425	✓	0.595
563	chapter 2 3.2	problem number 20	✓	22.462	✗	3.879
564	chapter 2 3.2	problem number 21	✗	24.434	✗	4.163
565	chapter 2 3.2	problem number 22	✗	2.609	✓	0.614
566	chapter 2 3.2	problem number 23	✓	0.878	✓	0.382
567	chapter 2 3.2	problem number 24	✗	7.386	✗	2.769
568	chapter 2 3.2	problem number 25	✓	0.39	✓	0.458
569	chapter 2 3.2	problem number 26	✓	0.477	✓	0.605
570	chapter 2 3.2	problem number 27	✗	102.439	✓ Solution contains RootOf	0.338
571	chapter 2 3.2	problem number 28	✓	0.459	✓	0.511
572	chapter 2 3.2	problem number 29	✓	0.376	✓	0.408
573	chapter 2 3.2	problem number 30	✗	2.972	✓	0.525
574	chapter 2 3.2	problem number 31	✗	31.411	✓	7.606
575	chapter 2 3.2	problem number 32	✓	0.204	✓	0.359
576	chapter 2 3.2	problem number 33	✓	0.883	✓	0.399
577	chapter 2 3.2	problem number 34	✗	1.513	✓	5.974
578	chapter 2 3.2	problem number 35	✗	1.023	✓	2.585
579	chapter 2 3.2	problem number 36	✗	1.149	✓	5.949
580	chapter 2 4.1	problem number 1	✓	0.025	✓	0.154
581	chapter 2 4.1	problem number 2	✓	0.092	✓	0.357
582	chapter 2 4.1	problem number 3	✓	1.913	✓	1.327
583	chapter 2 4.1	problem number 4	✗	44.287	✓	0.654
584	chapter 2 4.1	problem number 5	✓	12.789	✓	1.849
585	chapter 2 4.1	problem number 6	✓	0.129	✓	0.468
586	chapter 2 4.1	problem number 7	✓	0.025	✓	0.279
587	chapter 2 4.2	problem number 1	✓	0.018	✓	0.15
588	chapter 2 4.2	problem number 2	✓	0.07	✓	0.347
589	chapter 2 4.2	problem number 3	✓	12.99	✓	1.829
590	chapter 2 4.2	problem number 4	✓	15.661	✓	1.669
591	chapter 2 4.2	problem number 5	✗	1.392	✓	1.767
592	chapter 2 4.2	problem number 6	✗	1.985	✓	5.369
593	chapter 2 4.2	problem number 7	✗	69.365	✓	1.934
594	chapter 2 4.2	problem number 8	✓	0.136	✓	0.264
595	chapter 2 4.3	problem number 1	✓	0.025	✓	0.188
596	chapter 2 4.3	problem number 2	✓	0.114	✓	0.167
597	chapter 2 4.3	problem number 3	✓	1.662	✓	0.999
598	chapter 2 4.3	problem number 4	✗	62.417	✓	2.921
599	chapter 2 4.3	problem number 5	✗	1.78	✓	2.171
600	chapter 2 4.3	problem number 6	✗	3.063	✗ (Timed out)	600.
601	chapter 2 4.3	problem number 7	✗	7.759	✓	2.356
602	chapter 2 4.3	problem number 8	✓	0.224	✓	0.538
603	chapter 2 4.4	problem number 1	✓	0.017	✓	0.309
604	chapter 2 4.4	problem number 2	✓	0.125	✓	0.782
605	chapter 2 4.4	problem number 3	✓	1.614	✓	1.27
606	chapter 2 4.4	problem number 4	✗	3.077	✓	1.031
607	chapter 2 4.5	problem number 1	✓	0.191	✓	0.5
608	chapter 2 4.5	problem number 2	✓	0.157	✓	0.575
609	chapter 2 4.5	problem number 3	✓	1.404	✓	1.06
610	chapter 2 4.5	problem number 4	✓	22.306	✓	4.126
611	chapter 2 4.5	problem number 5	✓	0.127	✓	0.341
612	chapter 2 4.5	problem number 6	✗	113.481	✓	3.481
613	chapter 2 5.1	problem number 1	✓	0.074	✓	0.283
614	chapter 2 5.1	problem number 3	✓	2.937	✓	0.282
615	chapter 2 5.1	problem number 4	✓	6.203	✓	0.349
616	chapter 2 5.2	problem number 1	✓	0.197	✓	0.413
617	chapter 2 5.2	problem number 2	✓	0.186	✓	0.254
618	chapter 2 5.2	problem number 3	✗	1.048	✓	0.501
619	chapter 2 5.2	problem number 4	✓	0.621	✓	0.377
620	chapter 2 5.2	problem number 5	✗	24.027	✗	2.882
621	chapter 2 5.2	problem number 6	✓	1.846	✓	1.179
622	chapter 2 5.2	problem number 7	✗	28.01	✗	2.78
623	chapter 2 5.2	problem number 8	✗	24.467	✗	2.999
624	chapter 2 5.2	problem number 9	✓	0.76	✓	0.435
625	chapter 2 5.2	problem number 10	✗	2.572	✓	1.222
626	chapter 2 5.2	problem number 11	✓	0.154	✓	0.341
627	chapter 2 5.2	problem number 12	✗	12.437	✗	1.417
628	chapter 2 5.2	problem number 13	✗	26.389	✗	1.921
629	chapter 2 5.2	problem number 14	✗	24.119	✗	1.575
630	chapter 2 5.2	problem number 15	✓	0.475	✓	0.545
631	chapter 2 5.2	problem number 16	✓	0.406	✓	0.329
632	chapter 2 5.2	problem number 17	✓	1.122	✓	0.362
633	chapter 2 5.2	problem number 18	✓	0.597	✓	0.574
634	chapter 2 5.2	problem number 19	✗	3.428	✓	1.397
635	chapter 2 5.2	problem number 20	✗	3.097	✓	1.524
636	chapter 2 5.2	problem number 21	✓	0.152	✓	0.39
637	chapter 2 5.2	problem number 22	✓	0.504	✓	0.896
638	chapter 2 5.2	problem number 23	✓	0.473	✓	0.475
639	chapter 2 6.1	problem number 1	✓	0.158	✓	0.368
640	chapter 2 6.1	problem number 2	✓ contains unresolved integral	6.856	✓ contains unresolved integral	0.603
641	chapter 2 6.1	problem number 3	✓	0.532	✓ contains unresolved integral	0.88
642	chapter 2 6.1	problem number 4	✓	11.938	✓ contains unresolved integral	0.854
643	chapter 2 6.1	problem number 5	✓	0.745	✓	1.106
644	chapter 2 6.1	problem number 6	✗	4.328	✓ contains unresolved integrals	0.569
645	chapter 2 6.1	problem number 7	✓	10.859	✓	3.717
646	chapter 2 6.1	problem number 8	✗	43.052	✓	0.671
647	chapter 2 6.1	problem number 9	✗	44.268	✓	1.789
648	chapter 2 6.1	problem number 10	✓	10.094	✓	1.576
649	chapter 2 6.1	problem number 11	✓	4.366	✓	6.729
650	chapter 2 6.1	problem number 12	✗	102.215	✗	472.988
651	chapter 2 6.1	problem number 13	✓	0.618	✓	1.076
652	chapter 2 6.1	problem number 14	✗	6.749	✓	1.944
653	chapter 2 6.2	problem number 1	✓	0.169	✓ Contains unresolved integral	0.557
654	chapter 2 6.2	problem number 2	✓	3.838	✓	0.767
655	chapter 2 6.2	problem number 3	✓	0.455	✓	1.982
656	chapter 2 6.2	problem number 4	✓	8.388	✓	1.018
657	chapter 2 6.2	problem number 5	✓	0.655	✓	1.25
658	chapter 2 6.2	problem number 6	✗	42.9	✓	1.238
659	chapter 2 6.2	problem number 7	✓	8.366	✓	2.113
660	chapter 2 6.2	problem number 8	✓	9.323	✓	2.064
661	chapter 2 6.2	problem number 9	✗	89.268	✓	3.003
662	chapter 2 6.2	problem number 10	✗	5.186	✓	3.023
663	chapter 2 6.2	problem number 11	✗	1.382	✓	6.934
664	chapter 2 6.2	problem number 12	✗	33.916	✓	4.159
665	chapter 2 6.3	problem number 1	✓	0.022	✓	0.233
666	chapter 2 6.3	problem number 2	✓	0.246	✓	0.669
667	chapter 2 6.3	problem number 3	✓	0.478	✓ Has unresolved integrals	1.106
668	chapter 2 6.3	problem number 4	✓	0.631	✓	1.229
669	chapter 2 6.3	problem number 5	✓	30.326	✓	1.431
670	chapter 2 6.3	problem number 6	✓	1.346	✓	1.592
671	chapter 2 6.3	problem number 7	✓	2.852	✓	4.405
672	chapter 2 6.3	problem number 8	✗	54.105	✗ (Timed out)	600.
673	chapter 2 6.3	problem number 9	✗	95.797	✓	17.314
674	chapter 2 6.3	problem number 10	✓	0.705	✓	0.733
675	chapter 2 6.3	problem number 11	✗	30.678	✓	9.367
676	chapter 2 6.3	problem number 12	✗	8.241	✓	2.3
677	chapter 2 6.3	problem number 13	✗	1.301	✓	2.468
678	chapter 2 6.3	problem number 14	✗	1.498	✗ (Timed out)	600.
679	chapter 2 6.3	problem number 15	✗	9.279	✓	3.41
680	chapter 2 6.4	problem number 1	✓	0.175	✓ Has unresolved integral	0.81
681	chapter 2 6.4	problem number 2	✓	1.546	✓	1.033
682	chapter 2 6.4	problem number 3	✓	5.996	✓	1.225
683	chapter 2 6.4	problem number 4	✗	49.27	✓	1.396
684	chapter 2 6.4	problem number 5	✓	3.037	✓	1.407
685	chapter 2 6.4	problem number 6	✓	0.31	✓	0.688
686	chapter 2 6.4	problem number 7	✓	0.384	✓	1.155
687	chapter 2 6.4	problem number 8	✓	0.344	✓	1.141
688	chapter 2 6.4	problem number 9	✓	2.784	✓	1.727
689	chapter 2 6.4	problem number 10	✓	2.038	✓	2.178
690	chapter 2 6.4	problem number 11	✓	0.347	✓	0.991
691	chapter 2 6.4	problem number 12	✓	2.273	✓	1.215
692	chapter 2 6.5	problem number 1	✓	0.532	✓ Has unresolved integrals	1.151
693	chapter 2 6.5	problem number 2	✓	1.815	✓	0.975
694	chapter 2 6.5	problem number 3	✓	0.35	✓ Mathematica answer is simpler	1.647
695	chapter 2 6.5	problem number 4	✗	25.926	✗	30.902
696	chapter 2 6.5	problem number 5	✗	42.13	✓	1.034
697	chapter 2 6.5	problem number 6	✗	81.561	✓	1.69
698	chapter 2 6.5	problem number 7	✗	51.053	✗	140.449
699	chapter 2 6.5	problem number 8	✗	25.687	✓	1.442
700	chapter 2 6.5	problem number 9	✗	25.256	✓	1.364
701	chapter 2 6.5	problem number 10	✗	2.251	✓	1.745
702	chapter 2 6.5	problem number 11	✗	10.638	✓	1.843
703	chapter 2 7.1	problem number 1	✓	0.085	✓	0.709
704	chapter 2 7.1	problem number 2	✓	0.37	✓	0.781
705	chapter 2 7.1	problem number 3	✓	0.59	✓	0.919
706	chapter 2 7.1	problem number 4	✓	0.122	✓	0.916
707	chapter 2 7.1	problem number 5	✗	1.286	✓	1.395
708	chapter 2 7.1	problem number 6	✓	0.331	✓	2.356
709	chapter 2 7.1	problem number 7	✗	25.226	✓	4.4
710	chapter 2 7.1	problem number 8	✗	1.096	✓	1.669
711	chapter 2 7.1	problem number 9	✗	56.501	✗	38.625
712	chapter 2 7.1	problem number 10	✗	38.983	✗	46.29
713	chapter 2 7.1	problem number 11	✓	1.362	✓	0.909
714	chapter 2 7.1	problem number 12	✓	0.547	✓	1.684
715	chapter 2 7.2	problem number 1	✓	0.087	✓	0.75
716	chapter 2 7.2	problem number 2	✓	2.989	✓	0.826
717	chapter 2 7.2	problem number 3	✓	10.768	✓	0.9
718	chapter 2 7.2	problem number 4	✓	0.213	✓	0.899
719	chapter 2 7.2	problem number 5	✗	2.034	✗ (Timed out)	600.
720	chapter 2 7.2	problem number 6	✗	23.822	✗	9.506
721	chapter 2 7.2	problem number 7	✗	34.767	✓	4.753
722	chapter 2 7.2	problem number 8	✗	2.503	✓	21.002
723	chapter 2 7.2	problem number 9	✗	32.209	✗	36.063
724	chapter 2 7.2	problem number 10	✗	66.149	✗	45.298
725	chapter 2 7.2	problem number 11	✓	1.798	✓	0.913
726	chapter 2 7.2	problem number 12	✓	0.735	✓	1.493
727	chapter 2 7.3	problem number 1	✓	0.422	✓	0.923
728	chapter 2 7.3	problem number 2	✓	3.104	✓	0.924
729	chapter 2 7.3	problem number 3	✓	13.755	✓	1.011
730	chapter 2 7.3	problem number 4	✓	0.328	✓	1.064
731	chapter 2 7.3	problem number 5	✗	1.669	✓	1.912
732	chapter 2 7.3	problem number 6	✓	0.824	✓	1.524
733	chapter 2 7.3	problem number 7	✗	33.362	✓	3.534
734	chapter 2 7.3	problem number 8	✓	0.406	✓	0.752
735	chapter 2 7.3	problem number 9	✗	31.802	✗	7.102
736	chapter 2 7.3	problem number 10	✗	39.119	✗	13.042
737	chapter 2 7.3	problem number 11	✓	0.768	✓	1.008
738	chapter 2 7.3	problem number 12	✓	0.671	✓	1.567
739	chapter 2 7.4	problem number 1	✓	0.469	✓	0.719
740	chapter 2 7.4	problem number 2	✓	4.599	✓	0.866
741	chapter 2 7.4	problem number 3	✓	16.578	✓	1.017
742	chapter 2 7.4	problem number 4	✓	0.34	✓	1.108
743	chapter 2 7.4	problem number 5	✗	1.75	✓	3.152
744	chapter 2 7.4	problem number 6	✓	0.835	✓	2.104
745	chapter 2 7.4	problem number 7	✗	34.905	✓	4.99
746	chapter 2 7.4	problem number 8	✗	31.6	✗	5.039
747	chapter 2 7.4	problem number 9	✗	32.398	✗	8.13
748	chapter 2 7.4	problem number 10	✗	38.25	✗	14.767
749	chapter 2 7.4	problem number 11	✓	0.84	✓	0.611
750	chapter 2 7.4	problem number 12	✓	0.85	✓	1.115
751	chapter 2 8.1	problem number 1	✓	0.068	✓	0.156
752	chapter 2 8.1	problem number 2	✓	0.254	✓	0.281
753	chapter 2 8.1	problem number 3	✗	0.498	✓	0.423
754	chapter 2 8.1	problem number 4	✓	0.186	✓	0.537
755	chapter 2 8.1	problem number 5	✗	22.67	✓	1.275
756	chapter 2 8.1	problem number 6	✗	0.696	✓	0.588
757	chapter 2 8.1	problem number 7	✗	22.881	✗	3.283
758	chapter 2 8.1	problem number 8	✗	26.523	✗	2.957
759	chapter 2 8.1	problem number 9	✗	0.683	✓	0.537
760	chapter 2 8.1	problem number 10	✗	31.283	✗	7.924
761	chapter 2 8.1	problem number 11	✗	28.672	✗	8.239
762	chapter 2 8.1	problem number 12	✓	0.241	✓	0.65
763	chapter 2 8.1	problem number 13	✗	1.684	✓	0.571
764	chapter 2 8.2	problem number 1	✓	0.805	✓	0.981
765	chapter 2 8.2	problem number 2	✓	21.575	✗	2.615
766	chapter 2 8.2	problem number 3	✗	23.278	✗	3.276
767	chapter 2 8.2	problem number 4	✓	0.266	✓	0.724
768	chapter 2 8.2	problem number 5	✗	22.719	✗	4.009
769	chapter 2 8.2	problem number 6	✗	1.3	✓	0.533
770	chapter 2 8.2	problem number 7	✗	26.852	✗	4.649
771	chapter 2 8.2	problem number 8	✗	28.679	✗	5.072
772	chapter 2 8.2	problem number 9	✗	25.003	✗	3.654
773	chapter 2 8.2	problem number 10	✓	0.291	✓	0.734
774	chapter 2 8.2	problem number 11	✗	0.395	✓	0.82
775	chapter 2 8.3	problem number 1	✗	31.824	✗	14.565
776	chapter 2 8.3	problem number 2	✗	36.406	✗	10.252
777	chapter 2 8.3	problem number 3	✗	35.875	✗	10.867
778	chapter 2 8.4	problem number 1	✗	21.868	✓	1.345
779	chapter 2 8.4	problem number 2	✗	21.646	✗	2.801
780	chapter 2 8.4	problem number 3	✗	22.068	✗	1.761
781	chapter 2 8.4	problem number 4	✓	0.167	✓	0.408
782	chapter 2 8.5	problem number 1	✗	23.328	✓	2.081
783	chapter 2 8.5	problem number 2	✗	27.481	✗	13.761
784	chapter 2 8.5	problem number 3	✗	27.987	✗	13.225
785	chapter 2 8.5	problem number 4	✗	34.31	✗	11.501
786	chapter 2 8.5	problem number 5	✗	33.778	✗	14.532
787	chapter 2 8.6	problem number 1	✗	20.953	✗	1.834
788	chapter 2 8.6	problem number 2	✗	20.936	✓	0.701
789	chapter 2 8.6	problem number 3	✓	0.109	✓	0.252
790	chapter 2 8.6	problem number 4	✗	0.452	✓	0.63
791	chapter 2 8.6	problem number 5	✗	21.376	✗	1.464
792	chapter 2 8.6	problem number 6	✗	0.315	✓	0.287
793	chapter 2 8.6	problem number 7	✗	0.692	✓	0.214
794	chapter 2 8.6	problem number 8	✓	0.208	✓	0.33
795	chapter 2 8.6	problem number 9	✗	0.8	✓	0.298
796	chapter 2 8.6	problem number 10	✗	2.656	✓	2.
797	chapter 2 8.6	problem number 11	✓	0.286	✓	0.419
798	chapter 2 8.6	problem number 12	✓	21.845	✓	1.018
799	chapter 2 9.1	problem number 1	✓	0.067	✓	0.171
800	chapter 2 9.1	problem number 2	✗	0.171	✓	0.289
801	chapter 2 9.1	problem number 3	✗	0.504	✓	0.548
802	chapter 2 9.1	problem number 4	✗	1.162	✗	1.481
803	chapter 2 9.1	problem number 5	✗	1.317	✗	2.813
804	chapter 2 9.2	problem number 1	✓	0.308	✓	0.422
805	chapter 2 9.2	problem number 2	✗	0.073	✓	0.555
806	chapter 2 9.2	problem number 3	✗	0.599	✓	0.94
807	chapter 2 9.2	problem number 4	✗	0.44	✓	0.94
808	chapter 2 9.2	problem number 5	✗	0.677	✗	3.033
809	chapter 2 9.2	problem number 6	✗	0.374	✓	0.592
810	chapter 2 9.2	problem number 7	✗	0.596	✓	0.657
811	chapter 2 9.2	problem number 8	✗	0.341	✓	0.806
812	chapter 2 9.2	problem number 9	✗	0.432	✓	0.718
813	chapter 2 9.2	problem number 10	✗	0.676	✓	0.979
814	chapter 2 9.2	problem number 11	✗	0.542	✓	0.772
815	chapter 2 9.2	problem number 12	✗	0.753	✗	2.164
816	chapter 2 9.2	problem number 13	✗	0.888	✗	1.774
817	chapter 2 9.2	problem number 14	✗	0.841	✓	1.135
818	chapter 2 9.2	problem number 15	✗	0.366	✓	0.751
819	chapter 2 9.2	problem number 16	✗	0.582	✓	0.751
820	chapter 2 9.3	problem number 1	✗	1.392	✓	3.586
821	chapter 2 9.3	problem number 2	✗	1.273	✗	2.066
822	chapter 2 9.3	problem number 3	✗	3.586	✗	4.753
823	chapter 2 9.3	problem number 4	✗	1.292	✗	4.578
824	chapter 2 9.3	problem number 5	✗	1.228	✗	4.411
825	chapter 2 9.3	problem number 6	✗	9.153	✗	3.244
826	chapter 2 9.3	problem number 7	✗	8.043	✗	3.139
827	chapter 2 9.3	problem number 8	✗	4.247	✗	6.753
828	chapter 2 9.3	problem number 9	✓	0.068	✓	0.321
829	chapter 2 9.3	problem number 11	✗	0.451	✓	0.757
830	chapter 2 9.3	problem number 12	✗	1.139	✓	3.312
831	chapter 2 9.3	problem number 13	✗	2.643	✗	2.798
832	chapter 2 9.3	problem number 14	✗	2.535	✗	2.823
833	chapter 2 9.3	problem number 15	✗	5.303	✗	3.095
834	chapter 2 9.3	problem number 16	✗	5.63	✗	3.146
835	chapter 2 9.3	problem number 17	✗	0.857	✗	1.996
836	chapter 2 9.3	problem number 18	✗	8.036	✗	2.86
837	chapter 2 9.3	problem number 19	✗	8.146	✗	2.805
838	chapter 2 9.3	problem number 20	✗	11.529	✗	12.126
839	chapter 2 9.3	problem number 21	✗	29.225	✗	38.229
840	chapter 2 9.3	problem number 22	✗	4.7	✗	11.285
841	chapter 2 9.3	problem number 23	✗	2.191	✗	17.705
842	chapter 3 Examples	Example 1	✓	0.019	✓	0.189
843	chapter 3 Examples	Example 2	✓	0.06	✓	0.3
844	chapter 3 Examples	Example 3	✓	0.006	✓	0.127
845	chapter 3 2.1	Problem 1	✓	0.01	✓	0.175
846	chapter 3 2.1	Problem 2	✓	0.023	✓	0.173
847	chapter 3 2.1	Problem 3	✓	0.032	✓	0.227
848	chapter 3 2.1	Problem 4	✓	0.007	✓	0.158
849	chapter 3 2.1	Problem 5	✓	0.271	✓	0.353
850	chapter 3 2.1	Problem 6	✓	0.197	✓	0.437
851	chapter 3 2.1	Problem 7	✓	0.091	✓	0.546
852	chapter 3 2.1	Problem 8	✓	0.075	✓	0.491
853	chapter 3 2.2	Problem 1	✓	0.1	✓	0.221
854	chapter 3 2.2	Problem 2	✓	0.274	✓	0.27
855	chapter 3 2.2	Problem 3	✓	0.26	✓	0.403
856	chapter 3 2.2	Problem 4	✓	0.389	✓	0.285
857	chapter 3 2.2	Problem 5	✓	0.028	✓	0.288
858	chapter 3 2.2	Problem 6	✓	0.236	✓ Contains unresolved integral with RootOf	0.495
859	chapter 3 2.2	Problem 7	✓	0.196	✓	0.403
860	chapter 3 2.3	Problem 1	✓	0.034	✓	0.247
861	chapter 3 2.3	Problem 2	✓	0.162	✓	0.275
862	chapter 3 2.3	Problem 3	✓	0.152	✓	0.334
863	chapter 3 2.3	Problem 4	✓	0.534	✓	0.308
864	chapter 3 2.3	Problem 5	✓	0.02	✓	0.14
865	chapter 3 2.3	Problem 6	✓	0.093	✓	0.469
866	chapter 3 2.4	Problem 1	✓	0.093	✓	0.27
867	chapter 3 2.4	Problem 2	✓	0.058	✓	0.224
868	chapter 3 2.4	Problem 3	✓	0.027	✓	0.38
869	chapter 3 2.4	Problem 4	✓	0.042	✓	0.353
870	chapter 3 2.4	Problem 5	✓	0.079	✓ Result has unresolved integral	0.428
871	chapter 3 2.4	Problem 6	✓	0.087	✓ Result has unresolved integral	0.33
872	chapter 3 2.4	Problem 7	✓	0.769	✓ Result has unresolved integral	1.752
873	chapter 3 2.4	Problem 8	✓	1.388	✓ Result has unresolved integral	0.682
874	chapter 3 2.4	Problem 9	✓	5.712	✓	0.769
875	chapter 3 2.4	Problem 10	✗	1.437	✓	22.567
876	chapter 3 2.4	Problem 11	✓	0.407	✓	1.691
877	chapter 3 3.1	Problem 1	✓	0.098	✓	0.228
878	chapter 3 3.1	Problem 2	✓	0.05	✓	0.289
879	chapter 3 3.1	Problem 3	✓	0.2	✓	0.466
880	chapter 3 3.1	Problem 4	✓	0.236	✓	0.437
881	chapter 3 3.1	Problem 5	✓	0.481	✓	0.51
882	chapter 3 3.1	Problem 6	✓	0.493	✓	0.411
883	chapter 3 3.1	Problem 7	✓	0.629	✓	0.776
884	chapter 3 3.1	Problem 8	✗	2.705	✓	1.83
885	chapter 3 3.1	Problem 9	✗	1.645	✓	1.918
886	chapter 3 3.1	Problem 10	✓	3.368	✓	1.547
887	chapter 3 3.1	Problem 11	✓	0.46	✓	1.242
888	chapter 3 3.2	Problem 1	✓	0.269	✓	0.298
889	chapter 3 3.2	Problem 2	✓	0.046	✓	0.449
890	chapter 3 3.2	Problem 3	✓	0.081	✓	0.406
891	chapter 3 3.2	Problem 4	✓	0.425	✓	0.596
892	chapter 3 3.2	Problem 5	✓	0.677	✓	1.415
893	chapter 3 3.2	Problem 6	✓	0.06	✓	0.248
894	chapter 3 3.2	Problem 7	✓	0.058	✓	0.303
895	chapter 3 3.2	Problem 8	✓	0.657	✓	0.459
896	chapter 3 3.2	Problem 9	✓	1.123	✓	1.085
897	chapter 3 3.2	Problem 10	✓	0.569	✓	0.717
898	chapter 3 3.2	Problem 11	✓	5.1	✓	0.927
899	chapter 3 4.1	Problem 1	✓	0.153	✓	0.391
900	chapter 3 4.1	Problem 2	✓	0.094	✓	0.346
901	chapter 3 4.1	Problem 3	✓	0.295	✓	0.386
902	chapter 3 4.1	Problem 4	✓ Kernel Exception	21.312	✓	4.498
903	chapter 3 4.1	Problem 5	✓	78.738	✓	11.219
904	chapter 3 4.2	Problem 1	✓	0.135	✓	0.344
905	chapter 3 4.2	Problem 2	✓	0.089	✓	0.349
906	chapter 3 4.2	Problem 3	✓	0.263	✓	0.362
907	chapter 3 4.2	Problem 4	✓	269.717	✓	1.637
908	chapter 3 4.2	Problem 5	✓	87.511	✓	2.426
909	chapter 3 4.3	Problem 1	✓	0.131	✓	0.302
910	chapter 3 4.3	Problem 2	✓	0.068	✓	0.399
911	chapter 3 4.3	Problem 3	✓	0.055	✓	0.343
912	chapter 3 4.3	Problem 4	✓	181.544	✓	1.51
913	chapter 3 4.3	Problem 5	✓	54.744	✓	1.695
914	chapter 3 4.4	Problem 1	✓	0.118	✓	0.381
915	chapter 3 4.4	Problem 2	✓	0.077	✓	0.364
916	chapter 3 4.4	Problem 3	✓	0.054	✓	0.369
917	chapter 3 4.4	Problem 4	✓	81.306	✓	1.502
918	chapter 3 4.4	Problem 5	✓	54.565	✓	1.628
919	chapter 3 4.5	Problem 1	✓	0.428	✓	0.375
920	chapter 3 4.5	Problem 2	✓	0.112	✓	0.454
921	chapter 3 4.5	Problem 3	✓	1.108	✓	0.348
922	chapter 3 4.5	Problem 4	✓	0.135	✓	0.608
923	chapter 3 4.5	Problem 5	✓	0.116	✓	0.699
924	chapter 3 5.1	Problem 1	✓	0.098	✓	0.371
925	chapter 3 5.1	Problem 2	✓	0.034	✓	0.297
926	chapter 3 5.1	Problem 3	✓	0.256	✓	1.217
927	chapter 3 5.1	Problem 4	✓	0.082	✓	0.553
928	chapter 3 5.1	Problem 5	✓	0.285	✓	0.69
929	chapter 3 5.1	Problem 6	✓	0.611	✓	18.224
930	chapter 3 5.2	Problem 1	✓	0.141	✓	0.287
931	chapter 3 5.2	Problem 2	✓	0.093	✓ Result has unresolved integrals	0.75
932	chapter 3 5.2	Problem 3	✓	0.084	✓	0.711
933	chapter 3 5.3	Problem 4	✓	0.097	✓ Result has unresolved integrals	0.465
934	chapter 3 5.3	Problem 5	✓	0.104	✓	0.512
935	chapter 3 5.3	Problem 6	✓	1.168	✓	1.179
936	chapter 3 6.1	Problem 1	✓	0.483	✓	0.37
937	chapter 3 6.1	Problem 2	✓	0.2	✓	0.287
938	chapter 3 6.1	Problem 3	✓	0.059	✓	0.334
939	chapter 3 6.1	Problem 4	✓	59.115	✓	2.754
940	chapter 3 6.1	Problem 5	✓	89.784	✓ Result has unresolved integrals	3.296
941	chapter 3 6.2	Problem 1	✓	0.753	✓	0.173
942	chapter 3 6.2	Problem 2	✓	0.168	✓	0.195
943	chapter 3 6.2	Problem 3	✓	0.053	✓	0.181
944	chapter 3 6.2	Problem 4	✓	69.327	✓	2.083
945	chapter 3 6.2	Problem 5	✓	46.782	✓	3.337
946	chapter 3 6.3	Problem 1	✓	0.122	✓	0.405
947	chapter 3 6.3	Problem 2	✓	0.069	✓	0.334
948	chapter 3 6.3	Problem 3	✓	0.065	✓	0.278
949	chapter 3 6.3	Problem 4	✓	15.663	✓	3.287
950	chapter 3 6.3	Problem 5	✓	25.218	✓	5.378
951	chapter 3 6.4	Problem 1	✓	0.137	✓	0.359
952	chapter 3 6.4	Problem 2	✓	0.076	✓	0.311
953	chapter 3 6.4	Problem 3	✓	0.058	✓	0.353
954	chapter 3 6.4	Problem 4	✓	16.042	✓	2.918
955	chapter 3 6.4	Problem 5	✓	25.103	✓	4.848
956	chapter 3 6.5	Problem 1	✓	0.523	✓	0.316
957	chapter 3 6.5	Problem 2	✓	0.183	✓	0.311
958	chapter 3 6.5	Problem 3	✓	1.214	✓	0.35
959	chapter 3 6.5	Problem 4	✓	0.152	✓	1.042
960	chapter 3 6.5	Problem 5	✓	0.358	✓	0.749
961	chapter 3 6.5	Problem 6	✓	0.101	✓	0.881
962	chapter 3 7.1	Problem 1	✓	0.778	✓	0.455
963	chapter 3 7.1	Problem 2	✓	0.728	✓	0.428
964	chapter 3 7.1	Problem 3	✓	0.106	✓	0.278
965	chapter 3 7.1	Problem 4	✓	0.106	✓	2.101
966	chapter 3 7.1	Problem 5	✓	0.474	✓	1.471
967	chapter 3 7.2	Problem 1	✓	0.803	✓	0.469
968	chapter 3 7.2	Problem 2	✓	1.191	✓	0.344
969	chapter 3 7.2	Problem 3	✓	0.121	✓	0.241
970	chapter 3 7.2	Problem 4	✓	0.107	✓	1.455
971	chapter 3 7.2	Problem 5	✓	0.464	✓	1.007
972	chapter 3 7.3	Problem 1	✓	0.11	✓	0.522
973	chapter 3 7.3	Problem 2	✓	0.159	✓	0.315
974	chapter 3 7.3	Problem 3	✓	0.052	✓	0.26
975	chapter 3 7.3	Problem 4	✓	0.13	✓	4.338
976	chapter 3 7.3	Problem 5	✓	0.399	✓	2.489
977	chapter 3 7.4	Problem 1	✓	0.081	✓	0.367
978	chapter 3 7.4	Problem 2	✓	0.147	✓	0.22
979	chapter 3 7.4	Problem 3	✓	0.055	✓	0.175
980	chapter 3 7.4	Problem 4	✓	0.13	✓	1.009
981	chapter 3 7.4	Problem 5	✓	0.385	✓	2.387
982	chapter 3 8.1	Problem 1	✓	0.008	✓	0.207
983	chapter 3 8.1	Problem 2	✓	0.023	✓	0.277
984	chapter 3 8.1	Problem 3	✓	0.052	✓	0.372
985	chapter 3 8.1	Problem 4	✓	0.038	✓	0.489
986	chapter 3 8.1	Problem 5	✓	0.027	✓	0.434
987	chapter 3 8.1	Problem 6	✓	0.044	✓	0.334
988	chapter 3 8.1	Problem 7	✓	0.129	✓	0.269
989	chapter 3 8.1	Problem 8	✓	0.134	✓	0.257
990	chapter 3 8.1	Problem 9	✓	0.126	✓	0.132
991	chapter 3 8.1	Problem 10	✓	0.091	✓	0.165
992	chapter 3 8.1	Problem 11	✓	0.27	✓	0.331
993	chapter 3 8.1	Problem 12	✓	0.392	✓	0.31
994	chapter 3 8.1	Problem 13	✗	0.458	✓	0.565
995	chapter 3 8.1	Problem 14	✓	0.44	✓	0.437
996	chapter 3 8.1	Problem 15	✓	1.07	✓	0.513
997	chapter 3 8.1	Problem 16	✓	0.064	✓	0.177
998	chapter 3 8.2	Problem 1	✓	0.03	✓	0.159
999	chapter 3 8.2	Problem 2	✓	0.02	✓	0.171
1000	chapter 3 8.2	Problem 3	✓	0.069	✓	0.182
1001	chapter 3 8.2	Problem 4	✓	0.288	✓	0.2
1002	chapter 3 8.2	Problem 5	✓	0.44	✓	0.329
1003	chapter 3 8.2	Problem 6	✓	0.048	✓	0.129
1004	chapter 3 8.2	Problem 7	✗	0.297	✓	0.238
1005	chapter 3 8.3	Problem 1	✓	0.04	✓	0.154
1006	chapter 3 8.3	Problem 2	✓	0.018	✓	0.091
1007	chapter 3 8.3	Problem 3	✓	0.039	✓	0.164
1008	chapter 3 8.3	Problem 4	✓	0.048	✓	0.163
1009	chapter 3 8.3	Problem 5	✓	0.05	✓	0.26
1010	chapter 3 8.3	Problem 6	✓	0.057	✓	0.227
1011	chapter 3 8.3	Problem 7	✓	0.1	✓	0.209
1012	chapter 3 8.3	Problem 8	✓	0.202	✓	0.471
1013	chapter 3 8.4	Problem 1	✓	0.015	✓	0.143
1014	chapter 3 8.4	Problem 2	✓	0.068	✓	0.22
1015	chapter 3 8.4	Problem 3	✓	0.063	✓	0.169
1016	chapter 3 8.4	Problem 4	✓	0.164	✓	0.272
1017	chapter 3 8.4	Problem 5	✓	0.741	✓	0.398
1018	chapter 3 8.4	Problem 6	✗	0.488	✓	0.696
1019	chapter 3 8.4	Problem 7	✗	0.164	✓ Contains RootOf	0.227
1020	chapter 4 1.1	Example 1	✓	0.035	✓	0.171
1021	chapter 4 1.1	Example 2	✓	0.08	✓	0.163
1022	chapter 4 1.1	Example 3	✓	0.006	✓	0.11
1023	chapter 4 2.1	Problem 1	✓	0.007	✓	0.117
1024	chapter 4 2.1	Problem 2	✓	0.024	✓	0.124
1025	chapter 4 2.1	Problem 3	✓	0.015	✓	0.093
1026	chapter 4 2.1	Problem 4	✓	0.019	✓	0.131
1027	chapter 4 2.1	Problem 5	✓	0.014	✓	0.092
1028	chapter 4 2.1	Problem 6	✓	0.022	✓	0.099
1029	chapter 4 2.1	Problem 7	✗	0.215	✗	45.744
1030	chapter 4 2.2	Problem 1	✓	0.029	✓	0.165
1031	chapter 4 2.2	Problem 2	✓	0.026	✓	0.19
1032	chapter 4 2.2	Problem 3	✓	0.166	✓	0.16
1033	chapter 4 2.2	Problem 4	✓	0.153	✓	0.206
1034	chapter 4 2.2	Problem 5	✓	0.243	✓	0.245
1035	chapter 4 2.2	Problem 6	✓	0.079	✓	0.213
1036	chapter 4 2.2	Problem 7	✗	0.482	✓	0.856
1037	chapter 4 2.2	Problem 8	✗	3.963	✓	0.752
1038	chapter 4 2.3	Problem 1	✓	0.022	✓	0.146
1039	chapter 4 2.3	Problem 2	✓	0.034	✓	0.203
1040	chapter 4 2.3	Problem 3	✓	0.021	✓	0.134
1041	chapter 4 2.3	Problem 4	✓	0.147	✓	0.221
1042	chapter 4 2.3	Problem 5	✓	0.133	✓	0.257
1043	chapter 4 2.3	Problem 6	✓	0.459	✓	0.266
1044	chapter 4 2.4	Problem 1	✓	0.108	✓	0.2
1045	chapter 4 2.4	Problem 2 case \(n\neq -1, n\neq -2\)	✓	0.041	✓	0.196
1046	chapter 4 2.4	Problem 2 case \(n = -1\)	✓	0.056	✓	0.155
1047	chapter 4 2.4	Problem 2 case \(n = -2\)	✓	0.069	✓	0.156
1048	chapter 4 2.4	Problem 3	✓	0.025	✓	0.181
1049	chapter 4 2.4	Problem 4	✓	0.037	✓	0.192
1050	chapter 4 2.4	Problem 5	✓	0.068	✓	0.174
1051	chapter 4 2.4	Problem 6	✓	0.134	✓	0.165
1052	chapter 4 2.4	Problem 7	✓	1.07	✓	1.613
1053	chapter 4 2.4	Problem 8	✓	0.868	✓	0.549
1054	chapter 4 2.4	Problem 9	✓	4.314	✓	8.935
1055	chapter 4 2.4	Problem 10	✓	1.924	✓	3.613
1056	chapter 4 2.4	Problem 11	✓	0.734	✓	1.705
1057	chapter 4 2.4	Problem 12	✗	1.009	✗ (Timed out)	600.
1058	chapter 4 2.4	Problem 13	✗	1.066	✗ (Timed out)	600.
1059	chapter 4 3.1	Problem 1	✓	0.121	✓	0.196
1060	chapter 4 3.1	Problem 2	✓	0.113	✓	0.214
1061	chapter 4 3.1	Problem 3	✓	0.185	✓	0.292
1062	chapter 4 3.1	Problem 4	✓	0.314	✓	0.293
1063	chapter 4 3.1	Problem 5	✓	1.557	✓	0.42
1064	chapter 4 3.1	Problem 6	✓	0.911	✓	0.505
1065	chapter 4 3.1	Problem 7	✗	2.009	✓	1.498
1066	chapter 4 3.1	Problem 8	✗	1.645	✓	1.617
1067	chapter 4 3.1	Problem 9	✓	2.082	✓	1.208
1068	chapter 4 3.1	Problem 10	✓	0.397	✓	0.225
1069	chapter 4 3.2	Problem 1	✓	0.391	✓	0.218
1070	chapter 4 3.2	Problem 2	✓	0.063	✓	0.172
1071	chapter 4 3.2	Problem 3	✓	0.063	✓	0.201
1072	chapter 4 3.2	Problem 4	✓	0.302	✓	0.332
1073	chapter 4 3.2	Problem 5	✓	7.406	✓	0.993
1074	chapter 4 3.2	Problem 6	✓	0.282	✓	0.518
1075	chapter 4 3.2	Problem 7	✓	0.511	✓	0.54
1076	chapter 4 4.1	Problem 1	✓	0.33	✓	0.217
1077	chapter 4 4.1	Problem 2	✓	0.466	✓	0.219
1078	chapter 4 4.1	Problem 3	✓	0.064	✓	0.229
1079	chapter 4 4.1	Problem 4	✓	117.922	✓	1.352
1080	chapter 4 4.1	Problem 5	✓	183.13	✓	1.667
1081	chapter 4 4.2	Problem 1	✓	0.352	✓	0.219
1082	chapter 4 4.2	Problem 2	✓	0.415	✓	0.231
1083	chapter 4 4.2	Problem 3	✓	0.058	✓	0.233
1084	chapter 4 4.2	Problem 4	✓	113.436	✓	1.137
1085	chapter 4 4.2	Problem 5	✓	59.977	✓	1.462
1086	chapter 4 4.3	Problem 1	✓	0.11	✓	0.276
1087	chapter 4 4.3	Problem 2	✓	0.066	✓	0.266
1088	chapter 4 4.3	Problem 3	✓	0.063	✓	0.266
1089	chapter 4 4.3	Problem 4	✓	78.223	✓	1.595
1090	chapter 4 4.3	Problem 5	✓	51.715	✓	1.911
1091	chapter 4 4.4	Problem 1	✓	0.121	✓	0.24
1092	chapter 4 4.4	Problem 2	✓	0.071	✓	0.303
1093	chapter 4 4.4	Problem 3	✓	0.058	✓	0.264
1094	chapter 4 4.4	Problem 4	✓	79.783	✓	1.584
1095	chapter 4 4.4	Problem 5	✓	53.204	✓	1.939
1096	chapter 4 4.5	Problem 1	✓	0.408	✓	0.245
1097	chapter 4 4.5	Problem 2	✓	0.108	✓	0.279
1098	chapter 4 4.5	Problem 3	✓	0.093	✓	0.445
1099	chapter 4 4.5	Problem 4	✓	0.054	✓	0.38
1100	chapter 4 4.5	Problem 5	✓	0.172	✓	0.837
1101	chapter 4 4.5	Problem 6	✓	0.474	✓	0.772
1102	chapter 4 5.1	Problem 1	✓	0.085	✓	0.29
1103	chapter 4 5.1	Problem 2	✓	0.036	✓	0.217
1104	chapter 4 5.1	Problem 3	✓	0.078	✓	0.437
1105	chapter 4 5.1	Problem 4	✓	0.265	✓	0.603
1106	chapter 4 5.1	Problem 5	✓	0.193	✓	0.418
1107	chapter 4 5.1	Problem 6	✗	0.381	✓	32.919
1108	chapter 4 5.2	Problem 1	✓	0.108	✓	1.772
1109	chapter 4 5.2	Problem 2	✓	0.1	✓	0.52
1110	chapter 4 5.2	Problem 3	✓	0.099	✓	0.447
1111	chapter 4 5.2	Problem 4	✓	0.087	✓	0.265
1112	chapter 4 5.2	Problem 5	✓	0.073	✓	0.293
1113	chapter 4 5.2	Problem 6	✓	1.063	✓	18.611
1114	chapter 4 6.1	Problem 1	✓	0.402	✓	0.196
1115	chapter 4 6.1	Problem 2	✓	0.464	✓	0.206
1116	chapter 4 6.1	Problem 3	✓	0.057	✓	0.167
1117	chapter 4 6.1	Problem 4	✓	59.157	✓	1.692
1118	chapter 4 6.1	Problem 5	✓	87.898	✓	2.128
1119	chapter 4 6.2	Problem 1	✓	0.408	✓	0.196
1120	chapter 4 6.2	Problem 2	✓	0.766	✓	0.201
1121	chapter 4 6.2	Problem 3	✓	0.058	✓	0.191
1122	chapter 4 6.2	Problem 4	✓	69.019	✓	1.294
1123	chapter 4 6.2	Problem 5	✓	45.301	✓	1.927
1124	chapter 4 6.3	Problem 1	✓	0.076	✓	0.228
1125	chapter 4 6.3	Problem 2	✓	0.129	✓	0.281
1126	chapter 4 6.3	Problem 3	✓	0.062	✓	0.254
1127	chapter 4 6.3	Problem 4	✓	16.268	✓	1.822
1128	chapter 4 6.3	Problem 5	✓	24.709	✓	2.201
1129	chapter 4 6.4	Problem 1	✓	0.079	✓	0.252
1130	chapter 4 6.4	Problem 2	✓	0.135	✓	0.301
1131	chapter 4 6.4	Problem 3	✓	0.064	✓	0.21
1132	chapter 4 6.4	Problem 4	✓	16.571	✓	1.925
1133	chapter 4 6.4	Problem 5	✓	24.73	✓	2.347
1134	chapter 4 6.5	Problem 1	✓	0.209	✓	0.193
1135	chapter 4 6.5	Problem 2	✓	0.462	✓	0.221
1136	chapter 4 6.5	Problem 3	✓	0.105	✓	0.6
1137	chapter 4 6.5	Problem 4	✓	0.333	✓	0.625
1138	chapter 4 6.5	Problem 5	✓	0.262	✓	0.278
1139	chapter 4 6.5	Problem 6	✓	0.152	✓	0.27
1140	chapter 4 7.1	Problem 1	✓	0.847	✓	0.29
1141	chapter 4 7.1	Problem 2	✓	0.646	✓	0.232
1142	chapter 4 7.1	Problem 3	✓	1.818	✓	0.292
1143	chapter 4 7.1	Problem 4	✓	0.107	✓	4.193
1144	chapter 4 7.1	Problem 5	✓	0.483	✓	4.063
1145	chapter 4 7.2	Problem 1	✓	0.99	✓	0.283
1146	chapter 4 7.2	Problem 2	✓	1.073	✓	0.255
1147	chapter 4 7.2	Problem 3	✓	2.239	✓	0.276
1148	chapter 4 7.2	Problem 4	✓	0.119	✓	2.567
1149	chapter 4 7.2	Problem 5	✓	0.508	✓	2.496
1150	chapter 4 7.3	Problem 1	✓	0.099	✓	0.443
1151	chapter 4 7.3	Problem 2	✓	0.159	✓	0.407
1152	chapter 4 7.3	Problem 3	✓	0.139	✓	0.368
1153	chapter 4 7.3	Problem 4	✓	0.14	✓	1.959
1154	chapter 4 7.3	Problem 5	✓	0.415	✓	2.133
1155	chapter 4 7.4	Problem 1	✓	0.085	✓	0.485
1156	chapter 4 7.4	Problem 2	✓	0.156	✓	0.344
1157	chapter 4 7.4	Problem 3	✓	0.141	✓	0.406
1158	chapter 4 7.4	Problem 4	✓	0.142	✓	1.817
1159	chapter 4 7.4	Problem 5	✓	0.406	✓	2.083
1160	chapter 4 8.1	Problem 1	✓	0.008	✓	0.167
1161	chapter 4 8.1	Problem 2	✓	0.024	✓	0.169
1162	chapter 4 8.1	Problem 3	✓	0.036	✓	0.184
1163	chapter 4 8.1	Problem 4	✓	0.039	✓	0.271
1164	chapter 4 8.1	Problem 5	✓	0.029	✓	0.214
1165	chapter 4 8.1	Problem 6	✓	0.039	✓	0.178
1166	chapter 4 8.1	Problem 7	✓	0.141	✓	0.322
1167	chapter 4 8.1	Problem 8	✓	0.117	✓	0.298
1168	chapter 4 8.1	Problem 9	✓	0.154	✓	0.234
1169	chapter 4 8.1	Problem 10	✓	0.083	✓	0.219
1170	chapter 4 8.1	Problem 11	✓	0.295	✓	0.299
1171	chapter 4 8.1	Problem 12	✓	0.36	✓	0.367
1172	chapter 4 8.1	Problem 13	✗	20.786	✗	2.974
1173	chapter 4 8.1	Problem 14	✓	0.315	✓	0.445
1174	chapter 4 8.1	Problem 15	✓	0.219	✓	0.305
1175	chapter 4 8.2	Problem 1	✓	0.022	✓	0.195
1176	chapter 4 8.2	Problem 2	✓	0.019	✓	0.179
1177	chapter 4 8.2	Problem 3	✓	0.077	✓	0.23
1178	chapter 4 8.2	Problem 4	✗	0.102	✓ contains RootOf	0.256
1179	chapter 4 8.2	Problem 5	✗	20.521	✗	1.751
1180	chapter 4 8.2	Problem 6	✗	0.174	✓ has RootOf	0.279
1181	chapter 4 8.2	Problem 7	✗	0.083	✓ has RootOf	0.258
1182	chapter 4 8.3	Problem 1	✓	0.036	✓	0.198
1183	chapter 4 8.3	Problem 2	✓	0.013	✓	0.141
1184	chapter 4 8.3	Problem 3	✓	0.036	✓	0.204
1185	chapter 4 8.3	Problem 4	✓	0.093	✓	0.399
1186	chapter 4 8.3	Problem 5	✓	0.07	✓	0.253
1187	chapter 4 8.3	Problem 6	✓	0.09	✓	0.232
1188	chapter 4 8.3	Problem 7	✓	0.051	✓	0.545
1189	chapter 4 8.4	Problem 1	✓	0.014	✓	0.18
1190	chapter 4 8.4	Problem 2	✓	0.062	✓	0.207
1191	chapter 4 8.4	Problem 3	✓	0.058	✓	0.204
1192	chapter 4 8.4	Problem 4	✓	0.164	✓	0.298
1193	chapter 4 8.4	Problem 5	✓	0.735	✓	0.531
1194	chapter 4 8.4	Problem 6	✗	20.753	✗	2.452
1195	chapter 4 8.4	Problem 7	✗	0.107	✓ has RootOf	0.233
1196	chapter 5 2.1	Problem 1	✓	0.019	✓	0.181
1197	chapter 5 2.1	Problem 2	✓	0.022	✓	0.105
1198	chapter 5 2.1	Problem 3	✓	0.046	✓	0.2
1199	chapter 5 2.1	Problem 4	✓	0.035	✓	0.187
1200	chapter 5 2.1	Problem 5	✓	0.341	✓	0.248
1201	chapter 5 2.1	Problem 6	✓	0.346	✓	0.191
1202	chapter 5 2.1	Problem 7	✓	7.933	✓	460.072
1203	chapter 5 2.1	Problem 8	✓	30.645	✓	0.938
1204	chapter 5 2.2	Problem 1	✓	0.151	✓	0.286
1205	chapter 5 2.2	Problem 2	✓	0.269	✓	0.291
1206	chapter 5 2.2	Problem 3	✓	0.021	✓	0.221
1207	chapter 5 2.2	Problem 4	✓	0.299	✓	0.33
1208	chapter 5 2.2	Problem 5	✓	51.684	✗ (Timed out)	600.
1209	chapter 5 2.2	Problem 6	✓	50.131	✓	7.395
1210	chapter 5 2.2	Problem 7	✗	42.122	✓	0.906
1211	chapter 5 2.2	Problem 8	✗	11.488	✓	11.386
1212	chapter 5 2.3	Problem 1	✓	0.18	✓	0.336
1213	chapter 5 2.3	Problem 2	✓	0.292	✓	0.27
1214	chapter 5 2.3	Problem 3	✓	0.828	✓	0.347
1215	chapter 5 2.3	Problem 4	✓	0.861	✓	0.399
1216	chapter 5 2.3	Problem 5	✓	0.653	✓	0.401
1217	chapter 5 2.3	Problem 6	✓	0.063	✓	0.517
1218	chapter 5 2.3	Problem 7	✓	1.044	✓ contains RootOf	0.584
1219	chapter 5 2.4	Problem 1	✓	0.28	✓	0.413
1220	chapter 5 2.4	Problem 2	✓	0.137	✓	0.256
1221	chapter 5 2.4	Problem 3	✓	0.042	✓	0.279
1222	chapter 5 2.4	Problem 4	✓	0.13	✓	0.256
1223	chapter 5 2.4	Problem 5	✓	0.196	✓	0.777
1224	chapter 5 2.4	Problem 6	✓	0.235	✓	0.728
1225	chapter 5 2.4	Problem 7	✓	0.064	✓	0.348
1226	chapter 5 2.4	Problem 8	✓	0.084	✓	0.309
1227	chapter 5 2.4	Problem 9	✓	1.728	✓	3.292
1228	chapter 5 2.4	Problem 10	✓	0.75	✓	6.843
1229	chapter 5 2.4	Problem 11	✓	2.064	✓	3.138
1230	chapter 5 2.4	Problem 12	✓	0.576	✓	2.292
1231	chapter 5 3.1	Problem 1	✓	0.258	✓	0.576
1232	chapter 5 3.1	Problem 2	✓	0.292	✓	0.685
1233	chapter 5 3.1	Problem 3	✓	0.962	✓	0.987
1234	chapter 5 3.1	Problem 4	✗	2.237	✓	2.176
1235	chapter 5 3.1	Problem 5	✗	1.377	✓	2.265
1236	chapter 5 3.1	Problem 6	✓	3.984	✓	2.721
1237	chapter 5 3.1	Problem 7	✓	0.165	✓	0.461
1238	chapter 5 3.1	Problem 8	✓	0.136	✓	0.715
1239	chapter 5 3.2	Problem 1	✓	0.097	✓	0.555
1240	chapter 5 3.2	Problem 2	✓	0.079	✓	0.544
1241	chapter 5 3.2	Problem 3	✓	0.068	✓	0.63
1242	chapter 5 3.2	Problem 4	✓	0.335	✓	1.658
1243	chapter 5 3.2	Problem 5	✓	0.178	✓	0.625
1244	chapter 5 3.2	Problem 6	✓	0.18	✓	0.592
1245	chapter 5 3.2	Problem 7	✓	1.043	✓	1.517
1246	chapter 5 3.2	Problem 8	✓	0.052	✓	0.469
1247	chapter 5 3.2	Problem 9	✓	0.333	✓	1.325
1248	chapter 5 3.2	Problem 10	✓	0.362	✓	0.86
1249	chapter 5 4.1	Problem 1	✓	4.477	✓	6.066
1250	chapter 5 4.1	Problem 2	✓	93.033	✓	1.169
1251	chapter 5 4.1	Problem 3	✓	58.609	✓	4.607
1252	chapter 5 4.1	Problem 4	✓	4.213	✓	5.028
1253	chapter 5 4.1	Problem 5	✓	0.373	✓	4.921
1254	chapter 5 4.2	Problem 1	✓	4.738	✓	5.343
1255	chapter 5 4.2	Problem 2	✓	35.491	✓	1.149
1256	chapter 5 4.2	Problem 3	✓	59.801	✓	4.156
1257	chapter 5 4.2	Problem 4	✓	0.065	✓	0.511
1258	chapter 5 4.2	Problem 5	✓	2.1	✓	4.151
1259	chapter 5 4.2	Problem 6	✓	1.14	✓	4.43
1260	chapter 5 4.3	Problem 1	✓	6.359	✓	1.917
1261	chapter 5 4.3	Problem 2	✓	49.644	✓	1.131
1262	chapter 5 4.3	Problem 3	✗ (Timed out)	600.	✓	3.695
1263	chapter 5 4.3	Problem 4	✓	2.008	✓	2.698
1264	chapter 5 4.3	Problem 5	✓	0.813	✓	3.065
1265	chapter 5 4.4	Problem 1	✓	3.187	✓	1.918
1266	chapter 5 4.4	Problem 2	✓	36.432	✓	1.118
1267	chapter 5 4.4	Problem 3	✓	62.621	✓	3.699
1268	chapter 5 4.4	Problem 4	✓	0.276	✓	3.123
1269	chapter 5 4.4	Problem 5	✓	0.21	✓	3.315
1270	chapter 5 4.5	Problem 1	✓	1.526	✓	5.063
1271	chapter 5 4.5	Problem 2	✓	0.833	✓	4.796
1272	chapter 5 4.5	Problem 3	✓	0.285	✓	1.113
1273	chapter 5 4.5	Problem 4	✓	0.039	✓	1.421
1274	chapter 5 4.5	Problem 5	✓	0.122	✓	5.109
1275	chapter 5 4.5	Problem 6	✓	0.21	✓	3.759
1276	chapter 5 5.1	Problem 1	✓	0.076	✓	0.969
1277	chapter 5 5.1	Problem 2	✓	0.04	✓	0.636
1278	chapter 5 5.1	Problem 3	✓	0.202	✓	1.611
1279	chapter 5 5.1	Problem 4	✓	0.424	✓	0.697
1280	chapter 5 5.1	Problem 5	✓	0.094	✓	113.977
1281	chapter 5 5.1	Problem 6	✓	0.064	✓	90.381
1282	chapter 5 5.2	Problem 1	✓	0.169	✓	0.931
1283	chapter 5 5.2	Problem 2	✓	0.054	✓	1.02
1284	chapter 5 5.2	Problem 3	✓	0.091	✓	0.803
1285	chapter 5 5.2	Problem 4	✓	0.264	✓	1.078
1286	chapter 5 5.2	Problem 5	✓	0.129	✓	1.022
1287	chapter 5 5.2	Problem 6	✓	0.439	✓	2.394
1288	chapter 5 5.2	Problem 7	✓	0.187	✓	2.554
1289	chapter 5 6.1	Problem 1	✓	0.381	✓	0.565
1290	chapter 5 6.1	Problem 2	✓	21.236	✓	6.007
1291	chapter 5 6.1	Problem 3	✓	20.776	✓	6.999
1292	chapter 5 6.1	Problem 4	✓	0.131	✓	1.012
1293	chapter 5 6.1	Problem 5	✓	0.061	✓	1.252
1294	chapter 5 6.1	Problem 6	✓	0.162	✓	8.69
1295	chapter 5 6.1	Problem 7	✓	0.127	✓	9.725
1296	chapter 5 6.2	Problem 1	✓	0.383	✓	0.595
1297	chapter 5 6.2	Problem 2	✓	11.989	✓	5.005
1298	chapter 5 6.2	Problem 3	✓	10.543	✓	5.793
1299	chapter 5 6.2	Problem 4	✓	0.124	✓	1.038
1300	chapter 5 6.2	Problem 5	✓	0.053	✓	1.191
1301	chapter 5 6.2	Problem 6	✓	0.17	✓	6.841
1302	chapter 5 6.3	Problem 1	✓	0.795	✓	0.866
1303	chapter 5 6.3	Problem 2	✓	1.89	✓	2.02
1304	chapter 5 6.3	Problem 3	✓	0.293	✓	3.455
1305	chapter 5 6.3	Problem 4	✓	0.288	✓	2.105
1306	chapter 5 6.3	Problem 5	✓	0.185	✓	0.929
1307	chapter 5 6.3	Problem 6	✓	0.237	✓	5.467
1308	chapter 5 6.3	Problem 7	✓	0.195	✓	6.667
1309	chapter 5 6.4	Problem 1	✓	1.793	✓	0.961
1310	chapter 5 6.4	Problem 2	✓	2.118	✓	2.097
1311	chapter 5 6.4	Problem 3	✓	0.267	✓	3.38
1312	chapter 5 6.4	Problem 4	✓	0.313	✓	3.159
1313	chapter 5 6.4	Problem 5	✓	0.182	✓	1.019
1314	chapter 5 6.4	Problem 6	✓	0.244	✓	6.105
1315	chapter 5 6.4	Problem 7	✓	0.193	✓	8.247
1316	chapter 5 6.5	Problem 1	✓	21.748	✓	5.307
1317	chapter 5 6.5	Problem 2	✓	10.8	✓	5.966
1318	chapter 5 6.5	Problem 3	✓	0.177	✓	2.614
1319	chapter 5 6.5	Problem 4	✓	0.284	✓	3.474
1320	chapter 5 6.5	Problem 5	✓	0.345	✓	2.135
1321	chapter 5 6.5	Problem 6	✓	0.166	✓	7.503
1322	chapter 5 6.5	Problem 7	✓	0.163	✓	2.543
1323	chapter 5 7.1	Problem 1	✓	0.565	✓	1.275
1324	chapter 5 7.1	Problem 2	✓	0.152	✓	1.156
1325	chapter 5 7.1	Problem 3	✓	1.296	✓	1.233
1326	chapter 5 7.1	Problem 4	✓	0.069	✓	5.362
1327	chapter 5 7.1	Problem 5	✓	0.061	✓	27.023
1328	chapter 5 7.2	Problem 1	✓	0.745	✓	1.007
1329	chapter 5 7.2	Problem 2	✓	0.157	✓	1.016
1330	chapter 5 7.2	Problem 3	✓	1.72	✓	1.145
1331	chapter 5 7.2	Problem 4	✓	0.067	✓	3.119
1332	chapter 5 7.2	Problem 5	✓	0.06	✓	10.259
1333	chapter 5 7.3	Problem 1	✓	0.322	✓	2.07
1334	chapter 5 7.3	Problem 2	✓	0.112	✓	2.038
1335	chapter 5 7.3	Problem 3	✓	0.465	✓	6.855
1336	chapter 5 7.3	Problem 4	✓	0.073	✓	3.324
1337	chapter 5 7.3	Problem 5	✓	0.061	✓	3.662
1338	chapter 5 7.4	Problem 1	✓	0.488	✓	1.618
1339	chapter 5 7.4	Problem 2	✓	0.123	✓	41.239
1340	chapter 5 7.4	Problem 3	✓	0.557	✓	5.642
1341	chapter 5 7.4	Problem 4	✓	0.069	✓	3.167
1342	chapter 5 7.4	Problem 5	✓	0.067	✓	3.305
1343	chapter 5 8.1	Problem 1	✓	0.024	✓	0.493
1344	chapter 5 8.1	Problem 2	✓	0.05	✓	0.514
1345	chapter 5 8.1	Problem 3	✓	0.07	✓	0.5
1346	chapter 5 8.1	Problem 4	✓	0.042	✓	0.493
1347	chapter 5 8.1	Problem 5	✓	0.092	✓	0.562
1348	chapter 5 8.1	Problem 6	✓	0.038	✓	0.479
1349	chapter 5 8.1	Problem 7	✓	0.147	✓	0.526
1350	chapter 5 8.1	Problem 8	✓	0.124	✓	0.695
1351	chapter 5 8.1	Problem 9	✓	0.404	✓	1.078
1352	chapter 5 8.1	Problem 10	✗	0.576	✓	1.481
1353	chapter 5 8.1	Problem 11	✓	0.225	✓	1.022
1354	chapter 5 8.1	Problem 12	✓	0.324	✓	0.869
1355	chapter 5 8.2	Problem 1	✓	0.025	✓	0.442
1356	chapter 5 8.2	Problem 2	✓	0.152	✓	0.448
1357	chapter 5 8.2	Problem 3	✓	0.023	✓	0.445
1358	chapter 5 8.2	Problem 4	✓	0.056	✓	0.534
1359	chapter 5 8.2	Problem 5	✓	0.056	✓	0.531
1360	chapter 5 8.2	Problem 6	✓	0.274	✓	0.665
1361	chapter 5 8.3	Problem 1	✓	0.03	✓	0.466
1362	chapter 5 8.3	Problem 2	✓	0.067	✓	0.568
1363	chapter 5 8.3	Problem 3	✓	0.039	✓	0.563
1364	chapter 5 8.3	Problem 4	✓	0.131	✓	0.691
1365	chapter 5 8.3	Problem 5	✓	0.36	✓	1.107
1366	chapter 5 8.3	Problem 6	✗	20.839	✗	3.134
1367	chapter 6 2.1	Problem 1	✓	0.004	✓	0.263	Yes
1368	chapter 6 2.1	Problem 2	✓	0.048	✓	0.274	Yes
1369	chapter 6 2.1	Problem 3	✓	0.033	✓	0.366	Yes
1370	chapter 6 2.1	Problem 4	✓	0.043	✓	0.804	Yes
1371	chapter 6 2.1	Problem 5	✓	0.026	✓	0.399
1372	chapter 6 2.1	Problem 6	✓	0.077	✓	0.814
1373	chapter 6 2.1	Problem 7	✓	0.055	✓	0.645
1374	chapter 6 2.1	Problem 8	✗	0.031	✓	0.388
1375	chapter 6 2.1	Problem 9	✓	0.073	✓	1.833
1376	chapter 6 2.1	Problem 10	✓	0.118	✓	0.703
1377	chapter 6 2.1	Problem 11	✗	1.204	✗	3.154
1378	chapter 6 2.1	Problem 12	✗	0.252	✗	0.463
1379	chapter 6 2.1	Problem 13	✓	0.027	✓	0.294
1380	chapter 6 2.1	Problem 14	✓	31.637	✗	4.808
1381	chapter 6 2.1	Problem 15	✓	8.874	✓	8.058
1382	chapter 6 2.1	Problem 16	✓	9.119	✓	7.344
1383	chapter 6 2.1	Problem 17	✗ (Timed out)	600.	✗	24.448
1384	chapter 6 2.1	Problem 18	✓	8.639	✗	6.631
1385	chapter 6 2.1	Problem 19	✗	0.619	✗	0.645
1386	chapter 6 2.1	Problem 20	✗	2.332	✗	0.64
1387	chapter 6 2.1	Problem 21	✗	0.044	✗	0.655
1388	chapter 6 2.2	Problem 1	✓	0.396	✓	0.779
1389	chapter 6 2.2	Problem 2	✓	0.246	✓	0.724
1390	chapter 6 2.2	Problem 3	✗ (Timed out)	600.	✓	1.913
1391	chapter 6 2.2	Problem 4	✓	0.556	✓	0.773
1392	chapter 6 2.2	Problem 5	✓	0.026	✓	0.681
1393	chapter 6 2.2	Problem 6	✓	0.023	✓	0.32
1394	chapter 6 2.2	Problem 7	✓	0.019	✓	0.346
1395	chapter 6 2.2	Problem 8	✓	0.025	✓	0.275
1396	chapter 6 2.2	Problem 9	✓	0.133	✓	0.343
1397	chapter 6 2.2	Problem 10	✓	0.024	✓	0.285
1398	chapter 6 2.2	Problem 11	✓	0.087	✓	0.674
1399	chapter 6 2.2	Problem 12	✓	0.009	✓	0.808
1400	chapter 6 2.2	Problem 13	✓	0.023	✓	0.355
1401	chapter 6 2.2	Problem 14	✓	0.083	✓	0.5
1402	chapter 6 2.2	Problem 15	✓	0.032	✓	0.962
1403	chapter 6 2.2	Problem 16	✓	0.024	✓	1.033
1404	chapter 6 2.2	Problem 17	✓	0.046	✓	1.457
1405	chapter 6 2.2	Problem 18	✓	0.046	✓	0.994
1406	chapter 6 2.2	Problem 19	✓	0.041	✓	0.672
1407	chapter 6 2.2	Problem 20	✓	0.029	✓	0.524
1408	chapter 6 2.2	Problem 21	✓	0.034	✓	2.355
1409	chapter 6 2.2	Problem 22	✓	0.034	✗	1.904
1410	chapter 6 2.2	Problem 23	✗	0.417	✓	5.03
1411	chapter 6 2.2	Problem 24	✓	0.06	✓	1.505
1412	chapter 6 2.2	Problem 25	✓	0.363	✓	3.027
1413	chapter 6 2.2	Problem 26	✗	184.598	✗	2.556
1414	chapter 6 2.2	Problem 27	✗	0.667	✓	1.481
1415	chapter 6 2.2	Problem 28	✓	0.268	✓	2.906
1416	chapter 6 2.2	Problem 29	✗	0.173	✗	1.349
1417	chapter 6 2.3	Problem 1	✗	159.478	✗	0.471
1418	chapter 6 2.3	Problem 2	✓	0.058	✓	0.274
1419	chapter 6 2.3	Problem 3	✓	0.03	✓	0.473
1420	chapter 6 2.3	Problem 4	✗	0.022	✓	4.685
1421	chapter 6 2.3	Problem 5	✗	281.942	✗	0.435
1422	chapter 6 2.3	Problem 6	✗	0.465	✓	6.596
1423	chapter 6 2.3	Problem 7	✗	0.22	✓	2.693
1424	chapter 6 2.3	Problem 8	✗	0.115	✗	2.484
1425	chapter 6 2.3	Problem 9	✗	0.022	✓	1.214
1426	chapter 6 2.3	Problem 10	✓	0.037	✓	1.652
1427	chapter 6 2.3	Problem 11	✓	0.303	✓	3.492
1428	chapter 6 2.3	Problem 12	✗	0.038	✗	2.246
1429	chapter 6 2.3	Problem 13	✗	0.594	✗ (Timed out)	600.
1430	chapter 6 2.4	Problem 1	✓	15.4	✓	2.365
1431	chapter 6 2.4	Problem 2	✓	1.969	✓	1.567
1432	chapter 6 2.4	Problem 3	✓	0.713	✓	0.79
1433	chapter 6 2.4	Problem 4	✓	2.839	✓	3.633
1434	chapter 6 2.4	Problem 5	✓	4.755	✓	2.776
1435	chapter 6 2.4	Problem 6	✓	0.424	✓	0.514
1436	chapter 6 2.4	Problem 7	✗	0.412	✓	1.818
1437	chapter 6 2.4	Problem 8	✗	0.031	✓	1.094
1438	chapter 6 3.1	Problem 1	✓	0.199	✓	0.147
1439	chapter 6 3.1	Problem 2	✓	0.129	✓	0.242
1440	chapter 6 3.1	Problem 3	✓	0.176	✓	0.295
1441	chapter 6 3.1	Problem 4	✗	0.522	✓	0.976
1442	chapter 6 3.1	Problem 5	✓	0.302	✓	0.296
1443	chapter 6 3.1	Problem 6	✓	0.344	✓	0.495
1444	chapter 6 3.1	Problem 7	✓	0.845	✓	0.999
1445	chapter 6 3.1	Problem 8	✓	0.779	✓	0.921
1446	chapter 6 3.2	Problem 1	✓	0.437	✓	0.618
1447	chapter 6 3.2	Problem 2	✗	0.295	✓	0.655
1448	chapter 6 3.2	Problem 3	✓	1.408	✓	0.769
1449	chapter 6 3.2	Problem 4	✓	1.612	✓	0.601
1450	chapter 6 3.2	Problem 5	✗	14.314	✗	20.108
1451	chapter 6 3.2	Problem 6	✗	14.648	✗	190.689
1452	chapter 6 3.2	Problem 7	✗	7.02	✗	86.529
1453	chapter 6 3.2	Problem 8	✗	4.776	✗ (Timed out)	600.
1454	chapter 6 3.2	Problem 9	✗	1.131	✓	0.835
1455	chapter 6 3.2	Problem 10	✗	1.713	✓	0.89
1456	chapter 6 3.2	Problem 11	✗	1.366	✓	0.721
1457	chapter 6 3.2	Problem 12	✗	25.268	✗	4.21
1458	chapter 6 3.2	Problem 13	✓	0.957	✓	0.519
1459	chapter 6 3.2	Problem 14	✗	0.783	✓	0.768
1460	chapter 6 3.2	Problem 15	✓	1.312	✓	1.619
1461	chapter 6 3.2	Problem 16	✗	1.685	✓	9.475
1462	chapter 6 3.2	Problem 17	✗	24.925	✗	3.393
1463	chapter 6 3.2	Problem 18	✗	21.491	✗	4.768
1464	chapter 6 4.1	Problem 1	✓	0.015	✓	0.177
1465	chapter 6 4.1	Problem 2	✓	0.114	✓	0.375
1466	chapter 6 4.1	Problem 3	✓	0.149	✓	0.435
1467	chapter 6 4.1	Problem 4	✓	0.299	✓	0.538
1468	chapter 6 4.1	Problem 5	✓	0.377	✓	1.628
1469	chapter 6 4.1	Problem 6	✗	0.224	✓	0.582
1470	chapter 6 4.2	Problem 1	✓	0.023	✓	0.171
1471	chapter 6 4.2	Problem 2	✓	0.024	✓	0.159
1472	chapter 6 4.2	Problem 3	✓	0.093	✓	0.301
1473	chapter 6 4.2	Problem 4	✓	0.124	✓	0.347
1474	chapter 6 4.2	Problem 5	✓	0.291	✓	0.381
1475	chapter 6 4.2	Problem 6	✓	0.494	✓	4.422
1476	chapter 6 4.3	Problem 1	✓	0.145	✓	0.962
1477	chapter 6 4.3	Problem 2	✓	0.058	✓	0.174
1478	chapter 6 4.3	Problem 3	✓	0.4	✓	0.975
1479	chapter 6 4.3	Problem 4	✓	1.377	✓	1.604
1480	chapter 6 4.3	Problem 5	✗	1.256	✓	1.005
1481	chapter 6 4.3	Problem 6	✗	0.279	✓	2.228
1482	chapter 6 4.4	Problem 1	✓	0.145	✓	0.584
1483	chapter 6 4.4	Problem 2	✓	0.051	✓	0.163
1484	chapter 6 4.4	Problem 3	✓	0.433	✓	0.745
1485	chapter 6 4.4	Problem 4	✓	1.375	✓	0.844
1486	chapter 6 4.4	Problem 5	✗	11.621	✓	0.964
1487	chapter 6 4.4	Problem 6	✗	0.288	✓	1.526
1488	chapter 6 4.5	Problem 1	✓	0.247	✓	0.51
1489	chapter 6 4.5	Problem 2	✓	0.196	✓	0.379
1490	chapter 6 4.5	Problem 3	✗	0.311	✓	0.426
1491	chapter 6 4.5	Problem 4	✓	1.198	✓	3.531
1492	chapter 6 4.5	Problem 5	✗	0.289	✓	2.209
1493	chapter 6 4.5	Problem 6	✗	0.291	✓	1.532
1494	chapter 6 5.1	Problem 1	✓	0.053	✓	0.427
1495	chapter 6 5.1	Problem 2	✓	0.014	✓	0.166
1496	chapter 6 5.1	Problem 3	✓	0.159	✓	0.973
1497	chapter 6 5.1	Problem 4	✓	0.138	✓	0.281
1498	chapter 6 5.2	Problem 1	✓	0.019	✓	0.16
1499	chapter 6 5.2	Problem 2	✓	0.25	✓	0.346
1500	chapter 6 5.2	Problem 3	✓	0.194	✓	0.821
1501	chapter 6 5.2	Problem 4	✓	0.241	✓	0.67
1502	chapter 6 5.2	Problem 5	✓	0.094	✓	0.476
1503	chapter 6 5.2	Problem 6	✓	0.836	✓	0.642
1504	chapter 6 6.1	Problem 1	✓	0.099	✓	0.556
1505	chapter 6 6.1	Problem 2	✓	0.106	✓	0.649
1506	chapter 6 6.1	Problem 3	✓	0.082	✓	3.715
1507	chapter 6 6.1	Problem 4	✗	0.193	✓	1.707
1508	chapter 6 6.1	Problem 5	✓	2.092	✓	1.352
1509	chapter 6 6.2	Problem 1	✓	0.094	✓	0.591
1510	chapter 6 6.2	Problem 2	✓	0.095	✓	0.691
1511	chapter 6 6.2	Problem 3	✓	0.091	✓	2.957
1512	chapter 6 6.2	Problem 4	✓	0.063	✓	2.937
1513	chapter 6 6.2	Problem 5	✓	2.19	✓	1.195
1514	chapter 6 6.3	Problem 1	✓	0.134	✓	0.533	Yes
1515	chapter 6 6.3	Problem 2	✓	0.414	✓	0.635	Yes
1516	chapter 6 6.3	Problem 3	✓	1.585	✓	0.831
1517	chapter 6 6.3	Problem 4	✓	0.564	✓	0.766
1518	chapter 6 6.3	Problem 5	✗	2.053	✓	1.111
1519	chapter 6 6.4	Problem 1	✓	0.165	✓	0.494
1520	chapter 6 6.4	Problem 2	✓	0.46	✓	0.807
1521	chapter 6 6.4	Problem 3	✓	1.461	✓	0.866
1522	chapter 6 6.4	Problem 4	✓	0.393	✓	0.866
1523	chapter 6 6.4	Problem 5	✓	2.31	✓	0.703
1524	chapter 6 6.5	Problem 1	✓	59.996	✓	2.286
1525	chapter 6 6.5	Problem 2	✓	0.095	✓	0.636
1526	chapter 6 6.5	Problem 3	✓	0.362	✓	0.603
1527	chapter 6 6.5	Problem 4	✓	20.523	✓	1.602
1528	chapter 6 6.5	Problem 5	✓	0.38	✓	0.565
1529	chapter 6 6.5	Problem 6	✓	6.099	✓	2.04
1530	chapter 6 7.1	Problem 1	✓	0.151	✓	0.577
1531	chapter 6 7.1	Problem 2	✓	0.713	✓	0.909
1532	chapter 6 7.1	Problem 3	✓	0.035	✓	0.419
1533	chapter 6 7.1	Problem 4	✓	0.113	✓	1.991
1534	chapter 6 7.1	Problem 5	✓	0.162	✓	0.594
1535	chapter 6 7.2	Problem 1	✓	0.163	✓	0.525
1536	chapter 6 7.2	Problem 2	✓	0.629	✓	0.703
1537	chapter 6 7.2	Problem 3	✓	0.037	✓	0.452
1538	chapter 6 7.2	Problem 4	✓	0.106	✓	3.279
1539	chapter 6 7.2	Problem 5	✓	0.147	✓	0.574
1540	chapter 6 7.3	Problem 1	✓	0.142	✓	0.783
1541	chapter 6 7.3	Problem 2	✓	0.472	✓	1.974
1542	chapter 6 7.3	Problem 3	✓	0.029	✓	0.578
1543	chapter 6 7.3	Problem 4	✓	0.106	✓	1.138
1544	chapter 6 7.3	Problem 5	✓	0.153	✓	0.818
1545	chapter 6 7.4	Problem 1	✓	0.144	✓	0.652
1546	chapter 6 7.4	Problem 2	✓	0.464	✓	37.724
1547	chapter 6 7.4	Problem 3	✓	0.03	✓	0.51
1548	chapter 6 7.4	Problem 4	✓	0.104	✓	1.277
1549	chapter 6 7.4	Problem 5	✓	0.141	✓	0.832
1550	chapter 6 8.1	Problem 1	✓	0.01	✓	0.139
1551	chapter 6 8.1	Problem 2	✓	0.132	✓	0.174
1552	chapter 6 8.1	Problem 3	✓	0.07	✓	0.174
1553	chapter 6 8.1	Problem 4	✓	0.205	✓	0.293
1554	chapter 6 8.1	Problem 5	✓	0.12	✓	0.194
1555	chapter 6 8.1	Problem 6	✗	0.014	✗	0.641
1556	chapter 6 8.1	Problem 7	✓	1.944	✓	1.371
1557	chapter 6 8.1	Problem 8	✓	0.499	✓	0.373
1558	chapter 6 8.1	Problem 9	✗	0.346	✓	0.582
1559	chapter 6 8.1	Problem 10	✗	0.489	✓	0.725
1560	chapter 6 8.2	Problem 1	✓	0.041	✓	0.14
1561	chapter 6 8.2	Problem 2	✓	0.528	✓	0.341
1562	chapter 6 8.2	Problem 3	✓	1.915	✓	1.251
1563	chapter 6 8.2	Problem 4	✗	0.159	✓	0.371
1564	chapter 6 8.2	Problem 5	✓	0.109	✓	0.188
1565	chapter 6 8.2	Problem 6	✓	0.131	✓	0.177
1566	chapter 6 8.2	Problem 7	✗	0.09	✓	0.348
1567	chapter 6 8.3	Problem 1	✓	0.027	✓	0.151
1568	chapter 6 8.3	Problem 2	✓	0.03	✓	0.171
1569	chapter 6 8.3	Problem 3	✓	0.037	✓	0.158
1570	chapter 6 8.3	Problem 4	✓	0.075	✓	0.175
1571	chapter 6 8.3	Problem 5	✓	0.069	✓	0.204
1572	chapter 6 8.3	Problem 6	✓	0.523	✓	0.383
1573	chapter 6 8.3	Problem 7	✓	32.474	✓	0.812
1574	chapter 6 8.3	Problem 8	✗	47.593	✗	187.256
1575	chapter 6 8.3	Problem 9	✗	0.176	✓	1.214
1576	chapter 6 8.3	Problem 10	✗	0.149	✓	1.608
1577	chapter 6 8.3	Problem 11	✗	32.022	✗	0.826
1578	chapter 6 8.3	Problem 12	✗	0.99	✗	0.846
1579	chapter 7 2.1	Problem 1	✓	0.043	✓	0.099
1580	chapter 7 2.1	Problem 2	✓	0.095	✓	0.437
1581	chapter 7 2.1	Problem 3	✓	0.038	✓	0.112
1582	chapter 7 2.1	Problem 4	✓	2.223	✓	0.189
1583	chapter 7 2.1	Problem 5	✓	0.127	✓	0.185
1584	chapter 7 2.1	Problem 6	✓	0.118	✓	0.153	Yes
1585	chapter 7 2.1	Problem 7	✓	0.107	✓	0.292	Yes
1586	chapter 7 2.1	Problem 8	✓	0.086	✓	1.03
1587	chapter 7 2.1	Problem 9	✓	0.636	✓	0.212
1588	chapter 7 2.2	Problem 1	✓	0.08	✓	0.108
1589	chapter 7 2.2	Problem 2	✓	0.032	✓	0.088
1590	chapter 7 2.2	Problem 3	✓	0.183	✓	0.185
1591	chapter 7 2.2	Problem 4	✓	0.07	✓	0.12
1592	chapter 7 2.2	Problem 5	✓	0.169	✓	0.133
1593	chapter 7 2.2	Problem 6	✓	0.169	✓	0.188
1594	chapter 7 2.2	Problem 7	✓	0.098	✓	0.155
1595	chapter 7 2.2	Problem 8	✓	0.101	✓	0.112
1596	chapter 7 2.2	Problem 9	✓	0.123	✓	0.173
1597	chapter 7 2.3	Problem 1	✓	0.03	✓	0.096
1598	chapter 7 2.3	Problem 2	✓	0.035	✓	0.126
1599	chapter 7 2.3	Problem 3	✓	0.041	✓	0.126
1600	chapter 7 2.3	Problem 4	✓	0.08	✓	0.449
1601	chapter 7 2.3	Problem 5	✓	0.199	✓	0.159
1602	chapter 7 2.4	Problem 1	✓	0.207	✓	0.152
1603	chapter 7 2.4	Problem 2	✓	0.166	✓	0.177
1604	chapter 7 2.4	Problem 3	✓	0.068	✓	0.541
1605	chapter 7 2.4	Problem 4	✓	0.129	✓	0.717
1606	chapter 7 2.4	Problem 5	✓	0.103	✓	0.481
1607	chapter 7 2.4	Problem 6	✓	0.072	✓	1.133
1608	chapter 7 2.4	Problem 7	✗	1.315	✓	1.955
1609	chapter 7 2.4	Problem 8	✓	3.913	✓	2.184
1610	chapter 7 2.4	Problem 9	✓	5.885	✓	3.291
1611	chapter 7 2.4	Problem 10	✓	2.469	✓	2.505
1612	chapter 7 2.4	Problem 11	✓	4.398	✓	3.218
1613	chapter 7 2.4	Problem 12	✓	0.045	✓	0.179
1614	chapter 7 2.4	Problem 13	✓	0.239	✓	0.433
1615	chapter 7 3.1	Problem 1	✓	0.032	✓	0.149
1616	chapter 7 3.1	Problem 2	✓	0.493	✓	0.366
1617	chapter 7 3.1	Problem 3	✓	3.052	✓	1.339
1618	chapter 7 3.1	Problem 4	✗	0.369	✓	0.977
1619	chapter 7 3.1	Problem 5	✓	0.378	✓	0.313
1620	chapter 7 3.1	Problem 6	✓	0.289	✓	0.463
1621	chapter 7 3.1	Problem 7	✓	0.909	✓	0.937
1622	chapter 7 3.1	Problem 8	✓	0.776	✓	0.978
1623	chapter 7 3.2	Problem 1	✓	0.585	✓	0.567
1624	chapter 7 3.2	Problem 2	✓	0.534	✓	0.582
1625	chapter 7 3.2	Problem 3	✓	0.288	✓	0.17
1626	chapter 7 3.2	Problem 4	✓	0.387	✓	0.517
1627	chapter 7 3.2	Problem 5	✓	0.508	✓	10.526
1628	chapter 7 3.2	Problem 6	✗	14.63	✗	27.483
1629	chapter 7 3.2	Problem 7	✗	5.007	✗	610.63
1630	chapter 7 3.2	Problem 8	✗	4.818	✓	30.975
1631	chapter 7 3.2	Problem 9	✓	1.142	✓	0.455
1632	chapter 7 3.2	Problem 10	✗	7.051	✗	16.607
1633	chapter 7 3.2	Problem 11	✓	1.671	✓	1.645
1634	chapter 7 4.1	Problem 1	✓	0.405	✓	0.424
1635	chapter 7 4.1	Problem 2	✓	0.258	✓	1.073
1636	chapter 7 4.1	Problem 3	✓	1.128	✓	0.716
1637	chapter 7 4.1	Problem 4	✓	0.163	✓	0.905
1638	chapter 7 4.1	Problem 5	✓	0.513	✓	499.853
1639	chapter 7 4.2	Problem 1	✓	0.38	✓	0.38
1640	chapter 7 4.2	Problem 2	✓	0.239	✓	1.02
1641	chapter 7 4.2	Problem 3	✓	1.145	✓	0.615
1642	chapter 7 4.2	Problem 4	✓	0.133	✓	0.765
1643	chapter 7 4.2	Problem 5	✓	0.182	✓	0.402
1644	chapter 7 4.2	Problem 6	✓	0.525	✓	289.389
1645	chapter 7 4.3	Problem 1	✓	0.296	✓	0.396
1646	chapter 7 4.3	Problem 2	✓	4.64	✓	3.478
1647	chapter 7 4.3	Problem 3	✓	0.754	✓	0.668
1648	chapter 7 4.3	Problem 4	✗	0.252	✓	103.651
1649	chapter 7 4.3	Problem 5	✓	1.686	✓	1.509
1650	chapter 7 4.3	Problem 6	✗	1.17	✓	0.911
1651	chapter 7 4.3	Problem 7	✓	1.133	✓	24.542
1652	chapter 7 4.4	Problem 1	✓	0.301	✓	0.433
1653	chapter 7 4.4	Problem 2	✓	4.683	✓	3.478
1654	chapter 7 4.4	Problem 3	✓	0.779	✓	0.638
1655	chapter 7 4.4	Problem 4	✗	0.251	✓	1.276
1656	chapter 7 4.4	Problem 5	✓	1.879	✓	0.876
1657	chapter 7 4.4	Problem 6	✓	1.263	✓	24.752
1658	chapter 7 4.5	Problem 1	✓	3.573	✓	2.075
1659	chapter 7 4.5	Problem 2	✓	0.855	✓	0.654
1660	chapter 7 4.5	Problem 3	✓	33.925	✓	1.273
1661	chapter 7 4.5	Problem 4	✓	0.713	✓	0.664
1662	chapter 7 4.5	Problem 5	✓	0.361	✓	0.536
1663	chapter 7 5.1	Problem 1	✓	0.028	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.189
1664	chapter 7 5.1	Problem 2	✗	0.09	✓	0.431
1665	chapter 7 5.1	Problem 3	✓	0.034	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.208
1666	chapter 7 5.1	Problem 4	✓	0.432	✓	0.53
1667	chapter 7 5.1	Problem 5	✗	0.699	✓ Contains RootOf and unresolved integrals \(\ln ^n(x)\)	0.44
1668	chapter 7 5.2	Problem 1	✓	0.463	✓ Answer has unresolved integrals	1.318
1669	chapter 7 5.2	Problem 2	✓	2.082	✓ Answer has unresolved integrals	1.226
1670	chapter 7 5.2	Problem 3	✓ Generated internal errors from solve : inconsistent or redundant transcendental equation	0.156	✓ Answer has unresolved integrals and RootOf	0.636
1671	chapter 7 5.2	Problem 4	✗	0.306	✓	0.434
1672	chapter 7 5.2	Problem 5	✓	2.845	✓	0.638
1673	chapter 7 6.1	Problem 1	✓	0.424	✓	0.447
1674	chapter 7 6.1	Problem 2	✓	0.549	✓	0.803
1675	chapter 7 6.1	Problem 3	✓	0.806	✓	0.841
1676	chapter 7 6.1	Problem 4	✓	71.824	✓	3.598
1677	chapter 7 6.1	Problem 5	✓	0.055	✓	1.031
1678	chapter 7 6.1	Problem 6	✗	2.262	✓	3.433
1679	chapter 7 6.2	Problem 1	✓	0.469	✓	0.478
1680	chapter 7 6.2	Problem 2	✓	0.636	✓	0.885
1681	chapter 7 6.2	Problem 3	✓	0.316	✓	0.72
1682	chapter 7 6.2	Problem 4	✓	106.453	✓	2.996
1683	chapter 7 6.2	Problem 5	✓	2.509	✓	0.994
1684	chapter 7 6.2	Problem 6	✗	2.192	✓	3.393
1685	chapter 7 6.3	Problem 1	✓	0.774	✓	0.472
1686	chapter 7 6.3	Problem 2	✓	0.486	✓	0.628
1687	chapter 7 6.3	Problem 3	✓	0.952	✓	0.91
1688	chapter 7 6.3	Problem 4	✓	37.506	✓	4.794
1689	chapter 7 6.3	Problem 5	✗	1.544	✓	2.306
1690	chapter 7 6.4	Problem 1	✓	0.775	✓	0.566
1691	chapter 7 6.4	Problem 2	✓	0.629	✓	0.526
1692	chapter 7 6.4	Problem 3	✓	0.536	✓	0.903
1693	chapter 7 6.4	Problem 4	✓	38.107	✓	4.143
1694	chapter 7 6.4	Problem 5	✓	13.413	✓	3.14
1695	chapter 7 6.2	Problem 6	✗	1.563	✓	2.575
1696	chapter 7 6.5	Problem 1	✓	0.471	✓	0.754
1697	chapter 7 6.5	Problem 2	✓	60.819	✓	3.845
1698	chapter 7 6.5	Problem 3	✓	27.836	✓	7.07
1699	chapter 7 6.5	Problem 4	✗ (Timed out)	600.	✓	4.06
1700	chapter 7 6.5	Problem 5	✗	10.901	✓	2.564
1701	chapter 7 7.1	Problem 1	✓	0.187	✓	0.35
1702	chapter 7 7.1	Problem 2	✓	2.278	✓	0.306
1703	chapter 7 7.1	Problem 3	✗	1.074	✓	0.579
1704	chapter 7 7.1	Problem 4	✗	1.87	✓	0.98
1705	chapter 7 7.1	Problem 5	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	2.169	✓	2.113
1706	chapter 7 7.1	Problem 6	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	0.654	✓	2.006
1707	chapter 7 7.2	Problem 1	✓	0.318	✓ Answer contains unresolved integrals	0.345
1708	chapter 7 7.2	Problem 2	✓	1.716	✓	0.321
1709	chapter 7 7.2	Problem 3	✗	1.184	✓	0.627
1710	chapter 7 7.2	Problem 4	✓	2.513	✓	3.372
1711	chapter 7 7.2	Problem 5	✗	1.103	✓	0.615
1712	chapter 7 7.3	Problem 1	✓	1.098	✓	0.447
1713	chapter 7 7.3	Problem 2	✓	0.44	✓	0.425
1714	chapter 7 7.3	Problem 3	✗	1.369	✓	0.894
1715	chapter 7 7.3	Problem 4	✓	1.157	✓	1.592
1716	chapter 7 7.3	Problem 5	✓	0.483	✓	1.294
1717	chapter 7 7.4	Problem 1	✓	1.066	✓	0.397
1718	chapter 7 7.4	Problem 2	✓	0.298	✓	0.418
1719	chapter 7 7.4	Problem 3	✗	1.34	✓	0.797
1720	chapter 7 7.4	Problem 4	✗	1.565	✓	37.863
1721	chapter 7 7.4	Problem 5	✓	0.422	✓	1.274
1722	chapter 7 8.1	Problem 1	✓	0.097	✓	0.168
1723	chapter 7 8.1	Problem 2	✓	0.275	✓	0.167
1724	chapter 7 8.1	Problem 3	✓	0.261	✓	0.181
1725	chapter 7 8.1	Problem 4	✓	0.546	✓	0.445
1726	chapter 7 8.1	Problem 5	✗	0.423	✗	0.648
1727	chapter 7 8.1	Problem 6	✗	39.631	✓ Gives Warning: Incomplete separation	39.499
1728	chapter 7 8.1	Problem 7	✓	1.389	✓	0.335
1729	chapter 7 8.1	Problem 8	✗	0.757	✓	0.631
1730	chapter 7 8.1	Problem 9	✗	1.489	✓	0.744
1731	chapter 7 8.2	Problem 1	✗	0.37	✓	0.193
1732	chapter 7 8.2	Problem 2	✗	0.311	✓	0.312
1733	chapter 7 8.2	Problem 3	✗	0.484	✓	0.177
1734	chapter 7 8.2	Problem 4	✓	2.018	✓	0.323
1735	chapter 7 8.2	Problem 5	✓	3.451	✓	0.764
1736	chapter 7 8.2	Problem 6	✗	34.241	✗	18.227
1737	chapter 7 8.2	Problem 7	✗	0.611	✓	1.026
1738	chapter 7 8.2	Problem 8	✗	0.308	✓	1.367
1739	chapter 7 8.3	Problem 1	✓ Kernel message inconsistent or redundant transcendental equation	0.242	✓	0.151
1740	chapter 7 8.3	Problem 2	✗	0.145	✓	0.133
1741	chapter 7 8.3	Problem 3	✓	0.342	✓	0.151
1742	chapter 7 8.3	Problem 4	✗	0.337	✓	0.191
1743	chapter 7 8.3	Problem 5	✓	15.948	✓	0.455
1744	chapter 7 8.3	Problem 6	✗ (Timed out)	600.	✓	1.046
1745	chapter 7 8.3	Problem 7	✗	3.939	✓	2.291
1746	chapter 7 8.3	Problem 8	✗	0.402	✓	1.77
1747	chapter 7 8.3	Problem 9	✗	0.386	✓	2.334
1748	chapter 7 8.3	Problem 10	✗	40.058	✗	0.826
1749	chapter 7 8.3	Problem 11	✗	0.258	✗	0.921
1750	chapter 8 2.1	Problem 1	✓	0.245	✓	0.151
1751	chapter 8 2.1	Problem 2	✓	0.17	✓	0.449
1752	chapter 8 2.1	Problem 3	✓	0.225	✓	0.148
1753	chapter 8 2.1	Problem 4	✓	3.478	✓	0.221
1754	chapter 8 2.1	Problem 5	✓	0.376	✓	0.157
1755	chapter 8 2.1	Problem 6	✓	0.275	✓	0.186
1756	chapter 8 2.1	Problem 7	✓	0.36	✓	0.365
1757	chapter 8 2.1	Problem 8	✓	0.238	✓	1.048
1758	chapter 8 2.1	Problem 9	✓	1.58	✓	0.213
1759	chapter 8 2.2	Problem 1	✓	0.163	✓	0.14
1760	chapter 8 2.2	Problem 2	✓	0.199	✓	0.147
1761	chapter 8 2.2	Problem 3	✓	0.555	✓	0.157
1762	chapter 8 2.2	Problem 4	✓	4.385	✓	0.494
1763	chapter 8 2.2	Problem 5	✓	0.47	✓	0.193
1764	chapter 8 2.2	Problem 6	✓	0.316	✓	0.19
1765	chapter 8 2.2	Problem 7	✓	0.219	✓	0.174
1766	chapter 8 2.2	Problem 8	✓	0.28	✓	0.127
1767	chapter 8 2.2	Problem 9	✓	0.35	✓	0.19
1768	chapter 8 2.3	Problem 1	✓	0.059	✓	0.125
1769	chapter 8 2.3	Problem 2	✓	0.176	✓	0.126
1770	chapter 8 2.3	Problem 3	✓	0.126	✓	0.138
1771	chapter 8 2.3	Problem 4	✓	0.126	✓	0.329
1772	chapter 8 2.3	Problem 5	✓	0.345	✓	0.186
1773	chapter 8 2.4	Problem 1	✓	0.529	✓	0.2
1774	chapter 8 2.4	Problem 2	✓	0.449	✓	0.201
1775	chapter 8 2.4	Problem 3	✓	0.157	✓	0.6
1776	chapter 8 2.4	Problem 4	✓	0.297	✓	0.685
1777	chapter 8 2.4	Problem 5	✓	0.106	✓	0.549
1778	chapter 8 2.4	Problem 6	✓	0.189	✓	1.205
1779	chapter 8 2.4	Problem 7	✗	2.481	✓	1.972
1780	chapter 8 2.4	Problem 8	✓	7.958	✓	4.821
1781	chapter 8 2.4	Problem 9	✓	11.428	✓	3.689
1782	chapter 8 2.4	Problem 10	✓	4.869	✓	2.47
1783	chapter 8 2.4	Problem 11	✗	7.069	✓	45.066
1784	chapter 8 2.4	Problem 12	✓	0.207	✓	0.215
1785	chapter 8 2.4	Problem 13	✓	0.602	✓	0.388
1786	chapter 8 3.1	Problem 1	✓	0.107	✓	0.15
1787	chapter 8 3.1	Problem 2	✓	0.731	✓	0.21
1788	chapter 8 3.1	Problem 3	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	6.989	✓	1.372
1789	chapter 8 3.1	Problem 4	✗	2.609	✓	0.888
1790	chapter 8 3.1	Problem 5	✓	0.767	✓	0.329
1791	chapter 8 3.1	Problem 6	✗	2.174	✓	0.515
1792	chapter 8 3.1	Problem 7	✓	1.82	✓	1.002
1793	chapter 8 3.1	Problem 8	✓	1.53	✓	0.812
1794	chapter 8 3.2	Problem 1	✓	1.9	✓	0.961
1795	chapter 8 3.2	Problem 2	✓	1.752	✓	0.621
1796	chapter 8 3.2	Problem 3	✓	1.464	✓	0.275
1797	chapter 8 3.2	Problem 4	✓	1.409	✓	0.613
1798	chapter 8 3.2	Problem 5	✓	1.235	✓	13.61
1799	chapter 8 3.2	Problem 6	✗	25.316	✓	71.67
1800	chapter 8 3.2	Problem 7	✗	8.459	✗	391.588
1801	chapter 8 3.2	Problem 8	✗	6.962	✓	358.999
1802	chapter 8 3.2	Problem 9	✓	2.147	✓	0.449
1803	chapter 8 3.2	Problem 10	✗	1.706	✓	0.727
1804	chapter 8 3.2	Problem 11	✓	3.202	✓	1.668
1805	chapter 8 4.1	Problem 1	✓	0.856	✓	0.471
1806	chapter 8 4.1	Problem 2	✓	21.509	✓	0.469
1807	chapter 8 4.1	Problem 3	✓	10.848	✓	0.749
1808	chapter 8 4.1	Problem 4	✓	13.328	✓	0.603
1809	chapter 8 4.1	Problem 5	✗	4.665	✓	2.15
1810	chapter 8 4.2	Problem 1	✓	0.91	✓	0.409
1811	chapter 8 4.2	Problem 2	✓	18.891	✓	0.461
1812	chapter 8 4.2	Problem 3	✓	3.835	✓	0.707
1813	chapter 8 4.2	Problem 4	✓	10.758	✓	0.545
1814	chapter 8 4.2	Problem 5	✗	4.841	✓	1.731
1815	chapter 8 4.3	Problem 1	✓	0.544	✓	0.398
1816	chapter 8 4.3	Problem 2	✓	117.57	✓	1.656
1817	chapter 8 4.3	Problem 3	✓	1.31	✓	0.681
1818	chapter 8 4.3	Problem 4	✗	0.759	✓	2.108
1819	chapter 8 4.3	Problem 5	✓	3.981	✓	1.509
1820	chapter 8 4.3	Problem 6	✗	8.246	✓	1.369
1821	chapter 8 4.4	Problem 1	✓	0.638	✓	0.377
1822	chapter 8 4.4	Problem 2	✓	94.659	✓	1.605
1823	chapter 8 4.4	Problem 3	✓	1.109	✓	0.667
1824	chapter 8 4.4	Problem 4	✗	0.525	✓	1.447
1825	chapter 8 4.4	Problem 5	✓	3.569	✓	0.928
1826	chapter 8 4.4	Problem 6	✗	6.925	✓	1.4
1827	chapter 8 4.5	Problem 1	✓	29.418	✓	2.045
1828	chapter 8 4.5	Problem 2	✓	7.585	✓	0.636
1829	chapter 8 4.5	Problem 3	✓	145.004	✓	1.338
1830	chapter 8 4.5	Problem 4	✓	1.317	✓	0.69
1831	chapter 8 4.5	Problem 5	✓	0.77	✓	0.544
1832	chapter 8 5.1	Problem 1	✓	0.174	✓	0.18
1833	chapter 8 5.1	Problem 2	✓	0.499	✓	0.2
1834	chapter 8 5.1	Problem 3	✓	0.309	✓	0.198
1835	chapter 8 5.1	Problem 4	✗	1.514	✓	0.331
1836	chapter 8 5.1	Problem 5	✗	0.076	✓	0.483
1837	chapter 8 5.2	Problem 1	✓	1.332	✓	1.37
1838	chapter 8 5.2	Problem 2	✓	3.774	✓	1.203
1839	chapter 8 5.2	Problem 3	✓	2.478	✓	371.407
1840	chapter 8 5.2	Problem 4	✗	1.095	✓	0.475
1841	chapter 8 5.2	Problem 5	✓	2.564	✓	0.634
1842	chapter 8 6.1	Problem 1	✓	0.989	✓	0.462
1843	chapter 8 6.1	Problem 2	✓	1.03	✓	0.868
1844	chapter 8 6.1	Problem 3	✗	4.925	✓	1.713
1845	chapter 8 6.1	Problem 4	✓	160.527	✓	4.875
1846	chapter 8 6.1	Problem 5	✓	87.572	✓	50.671
1847	chapter 8 6.1	Problem 6	✗	1.362	✓	3.157
1848	chapter 8 6.2	Problem 1	✓	0.543	✓	0.429
1849	chapter 8 6.2	Problem 2	✓	0.692	✓	0.921
1850	chapter 8 6.2	Problem 3	✓	0.276	✓	0.731
1851	chapter 8 6.2	Problem 4	✓	156.333	✓	4.505
1852	chapter 8 6.2	Problem 5	✓	70.232	✓	52.962
1853	chapter 8 6.2	Problem 6	✗	1.36	✓	2.803
1854	chapter 8 6.3	Problem 1	✓	0.751	✓	0.537
1855	chapter 8 6.3	Problem 2	✓	0.514	✓	0.663
1856	chapter 8 6.3	Problem 3	✓	0.312	✓	0.916
1857	chapter 8 6.3	Problem 4	✓	52.316	✓	1.335
1858	chapter 8 6.3	Problem 5	✗	1.249	✓	2.027
1859	chapter 8 6.4	Problem 1	✓	0.836	✓	0.523
1860	chapter 8 6.4	Problem 2	✓	0.677	✓	0.597
1861	chapter 8 6.4	Problem 3	✓	0.584	✓	0.99
1862	chapter 8 6.4	Problem 4	✓	67.395	✓	22.712
1863	chapter 8 6.4	Problem 5	✗	1.221	✓	2.336
1864	chapter 8 6.5	Problem 1	✓	0.637	✓	0.809
1865	chapter 8 6.5	Problem 2	✓	154.394	✓	4.551
1866	chapter 8 6.5	Problem 3	✓	116.136	✓	8.987
1867	chapter 8 6.5	Problem 4	✗	1.874	✓	2.81
1868	chapter 8 6.5	Problem 5	✗	1.565	✓	2.273
1869	chapter 8 7.1	Problem 1	✓	0.22	✓	0.37
1870	chapter 8 7.1	Problem 2	✓	0.904	✓	0.31
1871	chapter 8 7.1	Problem 3	✗	0.669	✓	0.552
1872	chapter 8 7.1	Problem 4	✗	0.784	✓	0.884
1873	chapter 8 7.1	Problem 5	✓	1.077	✓	2.104
1874	chapter 8 7.1	Problem 6	✗	0.55	✓	0.595
1875	chapter 8 7.2	Problem 1	✓	0.035	✓	0.369
1876	chapter 8 7.2	Problem 2	✓	0.731	✓	0.33
1877	chapter 8 7.2	Problem 3	✗	0.613	✓	0.554
1878	chapter 8 7.2	Problem 4	✗	0.736	✓	0.707
1879	chapter 8 7.2	Problem 5	✓	1.282	✓	3.39
1880	chapter 8 7.2	Problem 6	✗	0.616	✓	0.575
1881	chapter 8 7.3	Problem 1	✓	0.204	✓	0.513
1882	chapter 8 7.3	Problem 2	✓	0.166	✓	0.517
1883	chapter 8 7.3	Problem 3	✗	0.442	✓	0.763
1884	chapter 8 7.3	Problem 4	✗	0.561	✓	1.979
1885	chapter 8 7.3	Problem 5	✓	0.183	✓	1.315
1886	chapter 8 7.4	Problem 1	✓	0.218	✓	0.4
1887	chapter 8 7.4	Problem 2	✓	0.157	✓	0.528
1888	chapter 8 7.4	Problem 3	✗	0.461	✓	0.664
1889	chapter 8 7.4	Problem 4	✗	0.602	✓	37.981
1890	chapter 8 7.4	Problem 5	✓	0.174	✓	1.344
1891	chapter 8 8.1	Problem 1	✓	0.03	✓	0.187
1892	chapter 8 8.1	Problem 2	✓	0.133	✓	0.17
1893	chapter 8 8.1	Problem 3	✓	0.072	✓	0.16
1894	chapter 8 8.1	Problem 4	✓	0.2	✓	0.487
1895	chapter 8 8.1	Problem 5	✓	0.131	✓	0.348
1896	chapter 8 8.1	Problem 6	✓	2.092	✓	1.351
1897	chapter 8 8.1	Problem 7	✓	0.507	✓	0.345
1898	chapter 8 8.1	Problem 8	✗	0.32	✓	0.618
1899	chapter 8 8.1	Problem 9	✗	0.493	✓	0.685
1900	chapter 8 8.2	Problem 1	✗	0.112	✓	0.223
1901	chapter 8 8.2	Problem 2	✗	0.148	✓	0.333
1902	chapter 8 8.2	Problem 3	✗	0.131	✓	0.164
1903	chapter 8 8.2	Problem 4	✓	0.591	✓	0.285
1904	chapter 8 8.2	Problem 5	✓	1.581	✗	2.548
1905	chapter 8 8.2	Problem 6	✗	0.248	✓	0.837
1906	chapter 8 8.2	Problem 7	✗	20.438	✗	2.671
1907	chapter 8 8.2	Problem 8	✗	20.201	✗	2.719
1908	chapter 8 8.3	Problem 1	✓	0.102	✓	0.171
1909	chapter 8 8.3	Problem 2	✗	0.041	✓	0.184
1910	chapter 8 8.3	Problem 3	✓	0.096	✓	0.187
1911	chapter 8 8.3	Problem 4	✗	0.093	✓	0.207
1912	chapter 8 8.3	Problem 5	✓	6.549	✓	0.457
1913	chapter 8 8.3	Problem 6	✗ (Timed out)	600.	✓	1.051
1914	chapter 8 8.3	Problem 7	✗	47.181	✗	188.909
1915	chapter 8 8.3	Problem 8	✗	20.23	✗	2.213
1916	chapter 8 8.3	Problem 9	✗	20.209	✗	2.446
1917	chapter 8 8.3	Problem 10	✗	31.743	✓	0.475
1918	chapter 8 8.3	Problem 11	✗	1.039	✗	1.51
1919	chapter 9 2.1	Problem 1	✓	0.493	✓	0.184
1920	chapter 9 2.1	Problem 2	✓	0.484	✓	0.777
1921	chapter 9 2.1	Problem 3	✓	0.364	✓	0.175
1922	chapter 9 2.1	Problem 4	✓	0.117	✓	0.138
1923	chapter 9 2.1	Problem 5	✓	0.193	✓	0.209
1924	chapter 9 2.1	Problem 6	✓	39.122	✗ (Timed out)	600.
1925	chapter 9 2.1	Problem 7	✓	0.181	✓	0.314
1926	chapter 9 2.1	Problem 8	✓	0.064	✓	0.269
1927	chapter 9 2.1	Problem 9	✓	0.349	✓	0.761
1928	chapter 9 2.2	Problem 1	✓	0.431	✓	0.185
1929	chapter 9 2.2	Problem 2	✓	0.143	✓	0.162
1930	chapter 9 2.2	Problem 3	✓	0.356	✓	0.205
1931	chapter 9 2.2	Problem 4	✗ (Timed out)	600.	✓	40.492
1932	chapter 9 2.2	Problem 5	✓	0.062	✓	0.181
1933	chapter 9 2.2	Problem 6	✓	0.04	✓	0.19
1934	chapter 9 2.2	Problem 7	✓	0.217	✓	0.304
1935	chapter 9 2.3	Problem 1	✓	0.4	✓	0.157
1936	chapter 9 2.3	Problem 2	✓	0.196	✓	0.141
1937	chapter 9 2.3	Problem 3	✓	0.185	✓	0.166
1938	chapter 9 2.3	Problem 4	✗ (Timed out)	600.	✓	21.37
1939	chapter 9 2.3	Problem 5	✓	0.368	✓	0.358
1940	chapter 9 2.4	Problem 1	✓	0.161	✓	0.28
1941	chapter 9 2.4	Problem 2	✓	0.121	✓	0.274
1942	chapter 9 2.4	Problem 3	✓	0.186	✓	1.098
1943	chapter 9 2.4	Problem 4	✓	0.124	✓	0.244
1944	chapter 9 2.4	Problem 5	✓	0.053	✓	0.218
1945	chapter 9 2.4	Problem 6	✓	0.321	✓	0.43
1946	chapter 9 2.4	Problem 7	✓	17.558	✓	10.411
1947	chapter 9 2.4	Problem 8	✓	16.265	✓	3.575
1948	chapter 9 2.4	Problem 9	✗	11.69	✓	67.69
1949	chapter 9 2.4	Problem 10	✓	0.065	✓	0.246
1950	chapter 9 2.4	Problem 11	✓	0.128	✓	0.779
1951	chapter 9 2.4	Problem 12	✓	0.235	✓	1.465
1952	chapter 9 2.4	Problem 13	✓	2.155	✓	3.268
1953	chapter 9 2.4	Problem 14	✓	0.561	✓	0.604
1954	chapter 9 3.1	Problem 1	✓	0.058	✓	0.184
1955	chapter 9 3.1	Problem 2	✓	0.081	✓	0.192
1956	chapter 9 3.1	Problem 3	✓	0.158	✓	0.184
1957	chapter 9 3.1	Problem 4	✓	0.144	✓	0.279
1958	chapter 9 3.1	Problem 5	✗	1.866	✓	1.798
1959	chapter 9 3.1	Problem 6	✓	2.125	✓	1.361
1960	chapter 9 3.1	Problem 7	✗	44.264	✗ (Timed out)	600.
1961	chapter 9 3.2	Problem 1	✓	0.073	✓	0.184
1962	chapter 9 3.2	Problem 2	✓	0.088	✓	0.201
1963	chapter 9 3.2	Problem 3	✗	0.14	✓	0.392
1964	chapter 9 3.2	Problem 4	✗	1.766	✓	3.346
1965	chapter 9 3.2	Problem 5	✓	3.162	✓	1.777
1966	chapter 9 3.2	Problem 6	✗	1.831	✓	1.807
1967	chapter 9 3.2	Problem 7	✓	0.236	✓	0.226
1968	chapter 9 3.2	Problem 8	✓	3.569	✓	0.53
1969	chapter 9 3.2	Problem 9	✗ (Timed out)	600.	✓	1.279
1970	chapter 9 3.2	Problem 10	✗	1.676	✓	1.321
1971	chapter 9 4.1	Problem 1	✓	82.234	✓	0.598
1972	chapter 9 4.1	Problem 2	✓	1.988	✓	0.967
1973	chapter 9 4.1	Problem 3	✓	0.836	✓	0.649
1974	chapter 9 4.1	Problem 4	✓	98.478	✓	1.105
1975	chapter 9 4.1	Problem 5	✓	77.222	✓	2.592
1976	chapter 9 4.2	Problem 1	✓	74.676	✓	0.52
1977	chapter 9 4.2	Problem 2	✓	1.976	✓	0.968
1978	chapter 9 4.2	Problem 3	✓	0.89	✓	0.591
1979	chapter 9 4.2	Problem 4	✓	91.207	✓	0.921
1980	chapter 9 4.2	Problem 5	✓	65.618	✓	2.092
1981	chapter 9 4.3	Problem 1	✓	44.279	✓	0.558
1982	chapter 9 4.3	Problem 2	✓	2.538	✓	1.142
1983	chapter 9 4.3	Problem 3	✓	1.419	✓	0.662
1984	chapter 9 4.3	Problem 4	✓	119.629	✓	1.078
1985	chapter 9 4.3	Problem 5	✓	110.848	✓	1.244
1986	chapter 9 4.4	Problem 1	✓	15.524	✓	0.535
1987	chapter 9 4.4	Problem 2	✓	1.961	✓	3.615
1988	chapter 9 4.4	Problem 3	✓	0.443	✓	0.661
1989	chapter 9 4.4	Problem 4	✓	22.205	✓	1.096
1990	chapter 9 4.4	Problem 5	✓	40.99	✓	1.261
1991	chapter 9 4.5	Problem 1	✓	32.968	✓	0.543
1992	chapter 9 4.5	Problem 2	✓	13.496	✓	0.505
1993	chapter 9 4.5	Problem 3	✓	34.087	✓	0.632
1994	chapter 9 4.5	Problem 4	✓	0.381	✓	0.657
1995	chapter 9 4.5	Problem 5	✓	51.445	✓	2.342
1996	chapter 9 5.1	Problem 1	✓	0.063	✓	0.234
1997	chapter 9 5.1	Problem 2	✓	0.067	✓	0.305
1998	chapter 9 5.1	Problem 3	✓	0.087	✓	0.347
1999	chapter 9 5.1	Problem 4	✗	0.184	✓	0.416
2000	chapter 9 5.1	Problem 5	✓	0.273	✓	58.319

Handbook of nonlinear partial differential equations

Table 1.28: 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	✗	0.277	✗	2.138
2002	chapter 1 1.1	Problem 2	✓	0.087	✓	0.259
2003	chapter 1 1.2	Problem 1	✗	0.077	✗	2.833
2004	chapter 1 1.2	Problem 2	✗	0.084	✓	0.272
2005	chapter 1 1.2	Problem 3	✗	0.165	✓	0.276
2006	chapter 1 1.2	Problem 4	✗	0.133	✓	0.303
2007	chapter 1 1.2	Problem 5	✗	0.552	✓	0.696
2008	chapter 1 1.3	Problem 1	✗	0.009	✗	0.067
2009	chapter 1 1.3	Problem 2	✗	0.008	✗	0.098
2010	chapter 1 1.3	Problem 3	✗	0.016	✗	0.113
2011	chapter 1 1.3	Problem 4	✗	0.023	✗	0.121
2012	chapter 1 1.4	Problem 1	✗	0.011	✗	0.095