1.4 Result lookup table on one web page

Miscellaneous PDE’s

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
1	General first order	Transport equation \(u_t+ u_x = 0\)	✓	0.046	✓	0.085	Yes
2	General first order	Transport equation \(u_t-3 u_x = 0\) IC \(u(0,x)=e^{-x^2}\). Peter Olver textbook, 2.2.2 (a)	✓	0.007	✓	0.046	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	✓	0.02	Yes	Yes
4	General first order	Transport equation \(u_t+u_x+\frac {1}{2}u = 0\) IC \(u(0,x)=\arctan (x)\). Peter Olver textbook, 2.2.2 (c)	✓	0.005	✓	0.05	Yes	Yes
5	General first order	Transport equation \(u_t-4u_x+u = 0\) IC \(u(0,x)=\frac {1}{1+x^2}\). Peter Olver textbook, 2.2.2 (d)	✓	0.005	✓	0.02	Yes	Yes
6	General first order	Transport equation \(u_t+2 u_x= \sin x\) IC \(u(0,x)=\sin x\). Peter Olver textbook, 2.2.5	✓	0.073	✓	0.046	Yes	Yes
7	General first order	Transport equation \(u_t+\frac {1}{1+x^2} u_x= 0\) IC \(u(x,0)=\frac {1}{1+(3+x)^2}\). Peter Olver textbook, page 27	✓	0.023	✓	0.077	Yes	Yes
8	General first order	Transport equation \(u_t-x u_x= 0\) IC \(u(x,0)=\frac {1}{1+x^2}\). Peter Olver textbook, problem 2.2.17	✓	0.006	✓	0.05	Yes	Yes
9	General first order	Transport equation \(u_t+(1-2 t) u_x= 0\) IC \(u(x,0)=\frac {1}{1+x^2}\). Peter Olver textbook, problem 2.2.29	✓	0.032	✓	0.135	Yes	Yes
10	General first order	Transport equation \(u_t+\frac {1}{x^2+4} u_x= 0\) IC \(u(x,0)=e^{x^3+12 x}\)	✓	0.015	✓	0.072	Yes	Yes
11	General first order	\(3 u_x + 5 u_y = x\)	✓	0.007	✓	0.011	Yes
12	General first order	\(x u_y + y u_x = -4 x y u\) and \(u(x,0)=e^{-x^2}\)	✓	0.024	✓	0.058	Yes
13	General first order	\(u_t + u_x = 0\) and \(u(x,0)=\sin x\) and \(u(0,t)=0\)	✓	0.121	✓	0.303	Yes
14	General first order	\(u_t+ c u_x = 0\) and \(u(x,0)=e^{-x^2}\)	✓	0.005	✓	0.03	Yes
15	General first order	(Haberman 12.2.2) \(\omega _t -3 \omega _x = 0\) and \(\omega (x,0)=\cos x\)	✓	0.004	✓	0.022	Yes
16	General first order	(Haberman 12.2.4) \(\omega _t +c \omega _x = 0\) and \(\omega (x,0)=f(x)\) and \(\omega (0,t)=h(t)\)	✗	1.705	✓ Solution contains unresolved invlaplace calls	0.32	Yes
17	General first order	(Haberman 12.2.5 (a)) \(\omega _t +c \omega _x = e^{2 x}\) and \(\omega (x,0)=f(x)\)	✓	0.048	✓	0.042	Yes
18	General first order	(Haberman 12.2.5 (d)) \(\omega _t +3 t \omega _x = \omega (x,t)\) and \(\omega (x,0)=f(x)\)	✓	1.118	✓	0.062	Yes
19	General first order	\( 2 u_x + 5 u_y = u^2(x,y) + 1\)	✓	0.16	✓	0.039	Yes
20	General first order	Clairaut equation \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\)	✓	0.054	✓	0.126	Yes
21	General first order	Clairaut equation. \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\) with \(u(x,0)= \frac {1}{2} (1-x^2)\)	✓	0.014	✓	0.724
22	General first order	Clairaut equation. \(u = x u_x+ y u_y + \sin ( u_x + u_y )\)	✓	0.054	✓	0.134
23	General first order	Recover a function from its gradient vector	✓	0.032	✓	0.085
24	General first order	\(x f_y - f_x = \frac {g(x)}{h(y)} f^2\)	✓	0.055	✓	0.039	Yes
25	General first order	\(f_x + (f_y)^2 = f(x,y,z)+z\)	✓	0.132	✓	0.562
26	General first order	\(x u_x+y u_y=u\) (Example 3.5.1 in Lokenath Debnath)	✓	0.017	✓	0.01	Yes
27	General first order	\(x u_x+y u_y=n u\) Example 3.5.2 in Lokenath Debnath	✓	0.018	✓	0.012	Yes
28	General first order	\(x^2 u_x+y^2 u_y=(x+y) u\) Example 3.5.3 in Lokenath Debnath	✓	0.12	✓	0.027	Yes
29	General first order	\((y-z) u_x + (z-x) u_y + (x-y) u_z = 0\) (Example 3.5.4 in Lokenath Debnath)	✗ (Timed out)	600.	✓	2.163	Yes
30	General first order	\(u(x+y) u_x+u(x-y) u_y=x^2+y^2\) (Example 3.5.5 in Lokenath Debnath)	✓	0.489	✓	0.174	Yes
31	General first order	\(u_x-u_y=1\) with \(u(x,0)=x^2\) Example 3.5.6 in Lokenath Debnath	✓	0.005	✓	0.018
32	General first order	\(y u_x+x u_y=u\) with \(u(x,0)=x^3\) and \(u(0,y)=y^3\) Example 3.5.8 in Lokenath Debnath	✗	2.078	✗	0.679
33	General first order	\(x u_x+y u_y=x e^{-u}\) with \(u=0\) on \(y=x^2\) Example 3.5.10 in Lokenath Debnath	✓	0.235	✓	0.06
34	General first order	\(u_t+u u_x=x\) with \(u(x,0)=f(x)\) Example 3.5.11 in Lokenath Debnath.	✗	3.678	✓	0.24
35	General first order	\(u_x=0\) Problem 3.3(a) Lokenath Debnath	✓	0.004	✓	0.003
36	General first order	\(a u_x+b u_y=0\) Problem 3.3(b) Lokenath Debnath	✓	0.009	✓	0.009
37	General first order	\(u_x+y u_y=0\) Problem 3.3(c) Lokenath Debnath	✓	0.029	✓	0.011
38	General first order	\((1+x^2) u_x+ u_y=0\) Problem 3.3(d) Lokenath Debnath	✓	0.009	✓	0.009
39	General first order	\(2 x y u_x+(x^2+y^2)u_y=0\) Problem 3.3(e) Lokenath Debnath	✓	0.126	✓	0.024
40	General first order	\((y+u) u_x+y u_y=x-y\) Problem 3.3(f) Lokenath Debnath	✗	105.34	✓	0.37
41	General first order	\(y^2 u_x- x y u_y=x(u-2 y)\) Problem 3.3(g) Lokenath Debnath	✓	0.137	✓	0.037
42	General first order	\(y u_y - x u_x = 1\) Problem 3.3(h) Lokenath Debnath	✓	0.02	✓	0.009
43	General first order	\(u_x+2 x y^2 u_y=0\) Problem 3.4 Lokenath Debnath	✓	0.126	✓	0.011
44	General first order	\(3 u_x+2 u_y=0\) with \(u(x,0)=\sin x\). Problem 3.5(a) Lokenath Debnath	✓	0.005	✓	0.016
45	General first order	\(y u_x+x u_y=0\) with \(u(0,y)=e^{-y^2}\). Problem 3.5(b) Lokenath Debnath	✓	0.023	✓	0.028
46	General first order	\(x u_x+y u_y=2 x y\) with \(u=2\) on \(y=x^2\). Problem 3.5(c) Lokenath Debnath	✓	0.017	✓	0.009
47	General first order	\(u_x+x u_y=0\) with \(u(0,y)=\sin y\). Problem 3.5(d) Lokenath Debnath	✓	0.006	✓	0.017
48	General first order	\(y u_x+x u_y=x y\) with \(u(0,y)=e^{-y^2},u(x,0)=e^{-x^2}\). Problem 3.5(e) Lokenath Debnath	✗	3.803	✗	0.616
49	General first order	\(u_x+x u_y=(y-\frac {1}{2}x^2)^2\) with \(u(0,y)=e^{y}\). Problem 3.5(f) Lokenath Debnath	✓	0.012	✓	0.079
50	General first order	\(x u_x+y u_y=u+1\) with \(u=x^2\) on \(y=x^2\) Problem 3.5(g) Lokenath Debnath	✓	0.021	✓	0.012
51	General first order	\(u u_x - u u_y= u^2 + (x+y)^2\) with \(u(x,0)=1\) Problem 3.5(h) Lokenath Debnath	✓	0.065	✓	0.07
52	General first order	\(x u_x+(x+y)u_y=u+1\) with \(u(x,0)=x^2\) Problem 3.5(i) Lokenath Debnath	✓	0.027	✓	0.054
53	General first order	\(x u_x+y u_y+z u_z=0\) Problem 3.8(a) .Lokenath Debnath	✓	0.032	✓	0.013
54	General first order	\(x^2 u_x+y^2 u_y+z(x+y)u_z=0\) Problem 3.8(b) Lokenath Debnath	✓	0.12	✓	0.019
55	General first order	\(x(y-z)u_x+y(z-x)u_y+z(x-y)u_z=0\) Problem 3.8(c) Lokenath Debnath	✓	0.049	✓	0.934
56	General first order	\(y z u_x - x z u_y+ x y (x^2+y^2) u_z=0\) Problem 3.8(d) Lokenath Debnath	✓	0.114	✓	0.044
57	General first order	\(x(y^2-z^2) u_x + y(z^2-y^2) u_y+ z (x^2-y^2) u_z=0\) Problem 3.8(e) Lokenath Debnath	✗	45.677	✗	0.256
58	General first order	\(u_x+x u_y=y\) with \(u(0,y)=y^2\) Problem 3.9(a) Lokenath Debnath	✓	0.007	✓	0.021
59	General first order	\(u_x+x u_y=y\) with \(u(1,y)=2 y\) Problem 3.9(b) Lokenath Debnath	✓	0.007	✓	0.01
60	General first order	\((u_x+u_y)^2-u^2=0\). Problem 3.10 Lokenath Debnath	✓	0.011	✓	0.021
61	General first order	\((y+u)u_x+y u_y=x-y\) with \(u(x,1)=1+x\). Problem 3.11 Lokenath Debnath	✗	211.318	✗	0.913
62	General first order	\(2 x u_x+(x+1) u_y=y\) with \(u(1,y)=2 y\). Problem 3.14(d) Lokenath Debnath	✓	0.021	✓	0.154
63	General first order	\(x u_x+y u_y=x^2+y^2\) with \(u(x,1)=x^2\). Problem 3.14(e) Lokenath Debnath	✓	0.034	✓	0.042
64	General first order	\(y^2 u_x+(x y) u_y=x\) with \(u(x,1)=x^2\). Problem 3.14(f) Lokenath Debnath	✓	0.035	✓	0.045
65	General first order	\(x u_x+y u_y=x y\) with \(u=\frac {x^2}{2}\) at \(y=x\). Problem 3.14(g) Lokenath Debnath	✓	0.019	✓	0.012
66	General first order	\(u_x+u u_y=1\) with \(u(0,y)=a y\). Problem 3.16(a) Lokenath Debnath	✓	0.084	✓	0.045
67	General first order	\((y+u)u_x+(x+u)u_y=x+y\). Problem 3.17(a) Lokenath Debnath	✗ (Timed out)	600.	✓	1.518
68	General first order	\(x u(u^2+x y)u_x - y u(u^2+x y) u_y = x^4\). Problem 3.17(b) Lokenath Debnath	✓	0.065	✓	0.044
69	General first order	\((x+y) u_x + (x-y)u_y =0\). Problem 3.17(c) Lokenath Debnath	✓	0.057	✓	0.047
70	General first order	\(y u_x - x u_y = e^u\) with \(u(0,y)=y^2-1\)	✓	0.163	✓	0.098	Yes
71	General first order	\(y u_x - x u_y = e^u\)	✓	0.074	✓	0.004	Yes
72	General first order	\(u_t + x u_x = 0\) with \(u(x,0)=x^2\). Math 5587	✓	0.007	✓	0.023	Yes
73	General first order	\(u_t + t u_x = 0\) with \(u(x,0)=e^x\)	✓	0.02	✓	0.03	Yes
74	General first order	\(2 u_x + 3 u_y = 1\)	✓	0.008	✓	0.009	Yes
75	General first order	\(x u_t - t u_x = 0\)	✓	0.027	✓	0.011	Yes
76	General first order	\(u_t + u_x = 0\) with \(u(x,1)=\frac {x}{1+x^2}\)	✓	0.005	✓	0.01	Yes
77	General first order	\(u_x u_y = 1\)	✓	0.003	✓	0.018	Yes
78	General first order	\(u_x u_y = u\) with \(u(x,0)=0,u(0,y)=0\)	✗	1.493	✓	0.272	Yes
79	Solved by factoring into two transport equations	\(u_{xx} + u_{xt} - 6 u_{tt} = 0\)	✓	0.012	✓	0.102	Yes
80	Solved by factoring into two transport equations	\(u_{xx} - u_{xt} - 12 u_{tt} = 0\)	✓	0.013	✓	0.298	Yes
81	Solved by factoring into two transport equations	\(u_{xx} - 3 u_{xt} - 4 u_{tt} = 0\)	✓	0.013	✓	2.132	Yes
82	Solved by factoring into two transport equations	\(u_{tt} - 2 u_{xt} - 3 u_{xx} = 0\) with \(u(0,x)=x^2, u_t(x,0)=e^x\)	✓	0.018	✓	1.895
83	Schrodinger PDE	Logan textbook, page 30	✓	0.527	✓	0.472
84	Schrodinger PDE	In a square, zero potential	✓	0.707	✓	4.106
85	Schrodinger PDE	From Mathematica help pages	✓	0.756	✓	0.929
86	Schrodinger PDE	From Mathematica help pages	✓	0.006	✗ Trivial solution. Maple does not support \(\infty \) in boundary conditions	9.75
87	Schrodinger PDE	David Griffiths, page 47	✓	30.831	✓	2.01
88	Schrodinger PDE	David Griffiths, page 47	✓	0.678	✓	1.058
89	Schrodinger PDE	In a square	✓	0.648	✓	6.622
90	Beam PDE	Beam PDE \(u_{tt} + u_{xxxx} = 0\)	✓	1.711	✓	0.234
91	Burger’s PDE	Inviscid Burgers \(u_x + u u_y = 0\)	✓ Implicit solution	0.028	✓	0.026	Yes
92	Burger’s PDE	Inviscid Burgers with I.C. \(u_x+ u u_y = 0\) and \(u(x,0)=\frac {1}{x+1}\)	✓	0.011	✓	0.062	Yes
93	Burger’s PDE	\(u_t+ u u_x = \mu u_{xx}\)	✓	0.039	✓	0.112
94	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) with IC	✓	10.918	✗	0.92
95	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) IC as UnitBox	✓	39.853	✗	0.658
96	Black Scholes PDE	classic Black Scholes model from finance, European call version	✓	3.061	✓	1.014
97	Black Scholes PDE	Boundary value problem for the Black Scholes equation	✓	4.421	✓	2.492
98	Korteweg-deVries PDE	\(u_{xxx} + u_t -6 u u_x = 0\)	✓	0.031	✓	0.193
99	Tricomi PDE	\(u_{xx} + y u_{yy} = 0\) with \(u(x,0)=0,u_y(x,0)=x^2\)	✓	9.736	✓	3.933
100	Tricomi PDE	\(u_{xx} + x u_{yy} = 0\)	✗	0.011	✓	3.122
101	Keldysh equation	\(x u_{xx} + u_{yy} = 0\)	✗	0.007	✓	3.77
102	Euler-Poisson-Darboux equation	\(u_{xx} + u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.008	✓	0.117
103	Euler-Poisson-Darboux equation	\(u_{xx} - u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.008	✓	0.49
104	Euler-Poisson-Darboux equation	\(u_{tt} - u_{xx} - \frac {2}{x} u_x = 0\) with \(u(x,0)=0,u_t(x,0)=g(x)\)	✗	2.613	✓	5.677
105	Chaplygin’s equation	\(u_{\theta \theta }+\frac {v^2}{1-\frac {v^2}{c^2}} u_{vv} + v u_v=0\)	✗	0.027	✓	1.459
106	Cauchy Riemann PDE’s	Cauchy Riemann PDE with Prescribe the values of \(u\) and \(v\) on the \(x\) axis	✓	0.011	✓	0.177
107	Cauchy Riemann PDE’s	Cauchy Riemann PDE With extra term on right side	✗	0.003	✓	0.077
108	Hamilton-Jacobi PDE	Hamilton-Jacobi type PDE	✗	0.01	✓	0.237
109	Airy PDE	\(u_t + u_{xxx} = 0\)	✓	0.059	✓	0.104	Yes
110	Nonlinear PDE’s	Bateman-Burgers \(u_t+u u_x = \nu u_{xx}\)	✓	0.03	✓	0.081
111	Nonlinear PDE’s	Benjamin Bona Mahony \(u_t+u_x + u u+x - u_{xxt} = 0\)	✓	0.036	✓	0.092
112	Nonlinear PDE’s	Benjamin Ono \(u_t+H u_{xx} +u u_x = 0\)	✓	0.031	✓	0.078
113	Nonlinear PDE’s	Born Infeld \((1-u_t^2) u_{xx} + 2 u_x u_t u_{xt} - (1+ u_x^2) u_{tt}=0\)	✓	0.014	✓	0.163
114	Nonlinear PDE’s	Boussinesq \(u_{tt}-u_{xx}-u_{xxxx} - 3 (u^2)_{xx} = 0\)	✓	0.058	✓	0.11
115	Nonlinear PDE’s	Boussinesq type \(u_{tt}-u_{xx}-2 \alpha (u u_x)_x - \beta u_{xxtt} = 0\)	✓	0.048	✓	0.402
116	Nonlinear PDE’s	Buckmaster \( u_t = (u^4)_{xx} + (u^3)_x\)	✗	0.113	✓ Answer in terms of RootOf.	0.465
117	Nonlinear PDE’s	Camassa Holm \(u_t + 2 k u_x - u_{xxt} + 3 u u_x = 2 u_x u_{xx}+ u u_{xxx}\)	✗	0.199	✓ Answer in terms of RootOf.	1.628
118	Nonlinear PDE’s	Chaffee Infante \(u_t = u_{xx} + \lambda (u^3 - u) = 0\)	✗	0.105	✓	0.226
119	Nonlinear PDE’s	Clarke. \(\left ( \theta _t - \gamma e^\theta \right )_{tt} = \left ( \theta _t - e^\theta \right )_{xx}\)	✗	0.013	✗	0.06
120	Nonlinear PDE’s	Degasperis Procesi \(u_t - u_{xxt} + 4 u u_x = 3 u_x u_xx + u u_{xxx}\)	✗	0.195	✓ But still has unresolved ODE’s in solution	0.671
121	Nonlinear PDE’s	Dym equation \(u_t =u^3 u_{xxx}\)	✗	0.096	✓ has RootOf	1.051
122	Nonlinear PDE’s	Estevez Mansfield Clarkson \(u_{tyyy} + \beta u_y u_{yt} + \beta u_{yy} u_t + u_{tt} = 0\)	✓	0.041	✓	0.15
123	Nonlinear PDE’s	Fisher’s \(u_t = u(1-u)+u_{xx}\)	✓	0.063	✓	0.162
124	Nonlinear PDE’s	Hunter Saxton \(\left ( u_t + u u_x) \right )_x = \frac {1}{2} (u_x)^2\)	✗	0.051	✓ with RootOf	0.155
125	Nonlinear PDE’s	Kadomtsev Petviashvili \( \left ( u_t + u u_x + \epsilon ^2 u_{xxx} \right )_x + \lambda u_{yy} = 0 \)	✓	0.073	✓	0.132
126	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ \lambda u^p=0\)	✗	0.006	✗	0.025
127	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ u^2=0\)	✗	0.237	✓	0.387
128	Nonlinear PDE’s	Khokhlov Zabolotskaya \(u_{x t} - (u u_x)_x = u_{yy}\)	✗	0.073	✓	0.275
129	Nonlinear PDE’s	Korteweg de Vries (KdV) \(u_t + (u_x)^3+ 6 u u_x = 0\)	✓	0.038	✓	0.094
130	Nonlinear PDE’s	Lin Tsien \(2 u_{tx} + u_x u_{xx} - u_{yy} = 0\)	✗	0.09	✓	0.265
131	Nonlinear PDE’s	Liouville \(u_{xx} + u_{yy} +e^{\lambda u} = 0\)	✗	0.006	✗	0.037
132	Nonlinear PDE’s	Plateau \((1+u_y^2)u_{xx} - 2 u_x u_y y_{xy} + (1+u_x^2) u_{yy} = 0\)	✗	0.039	✓	0.173
133	Nonlinear PDE’s	Rayleigh \(u_{tt} - u_{xx} = \epsilon (u_t - u_t^3)\)	✗	0.099	✓ Has RootOf	0.167
134	Nonlinear PDE’s	Sawada Kotera \(u_t + 45 u^2 u_x + 15 u_x u_{xx} + 15 u u_{xxx} + u_{xxxxx} = 0 \)	✓	0.093	✓	0.176
135	Nonlinear PDE’s	Sine Gordon \(\phi _{tt} - \phi _{xx} + \sin \phi = 0\)	✗	0.01	✗	0.026
136	Nonlinear PDE’s	Sinh Gordon \( u_{xt} = \sinh u\)	✗	0.01	✗	0.031
137	Nonlinear PDE’s	Sinh Poisson \(u_{xx}+u_{yy} + \sinh u=0\)	✗	0.009	✗	0.016
138	Nonlinear PDE’s	Thomas equation \( u_{xy} + \alpha u_x + \beta u_y+ \nu u_x u_y =0\)	✗	0.074	✓	0.45
139	Nonlinear PDE’s	phi equation \(\phi _{tt} - \phi _{xx} - \phi + \phi ^3 = 0\)	✓	0.053	✓	0.165
140	more miscellaneous	\(S S_{xy} + S_x S_y = 1\)	✗	0.04	✓	0.052
141	more miscellaneous	\(u_{rr} + u_{\theta \theta } = 0\)	✓	30.952	✓	0.746
142	more miscellaneous	\( u_{xx} + y u_{yy} = 0\)	✓	8.842	✓	3.441
143	more miscellaneous	\(u_t + u_{xxx} = 0\)	✓	0.191	✓	15.76
144	more miscellaneous	\(u_{xy} = \sin (x) \sin (y) \)	✓	5.14	✓	0.619
145	more miscellaneous	\(w_t = w_{x_1 x_1} + w_{x_2 x_2} + w_{x_3 x_3}\)	✓	2.907	✓	0.847
146	more miscellaneous	Linear PDE, initial conditions at \(t=t_0\)	✓	3.923	✓	0.825
147	more miscellaneous	second order in time, Linear PDE, initial conditions at \(t=t_0\)	✓	2.226	✓	2.962
148	more miscellaneous	Einstein-Weiner \(u_t = -\beta u_x + D u_{xx}\)	✓	0.046	✓	0.362
149	more miscellaneous	Using integral transforms.	✓	40.116	✓	2.906

Parabolic PDE’s (Diffusion)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
150	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	General initial conditions	✓	62.537	✓	2.083	Yes
151	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Specific initial condition	✓	26.091	✓	1.237	Yes	Yes
152	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC \(u=x(1-x)\)	✓	27.383	✓	0.931	Yes	Yes
153	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (a)	✓	0.42	✓	3.671	Yes
154	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC hat function	✓	35.813	✓	2.606	Yes	Yes
155	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (b)	✓	1.236	✓	4.116	Yes
156	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (c)	✓ but \(n=3\) should be special case	65.187	✓ handled \(n=3\) case correctly.	15.515	Yes
157	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (d)	✓	545.655	✓	40.644	Yes
158	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	18.891	✓	1.61	Yes
159	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	62.92	✓	1.042	Yes	Yes
160	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (general case)	✓	42.268	✓	2.872	Yes
161	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (special case)	✓	32.815	✓	2.741	Yes	Yes
162	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (general case)	✓	71.123	✓	4.79	Yes
163	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (special case)	✓	35.558	✓	14.278	Yes	Yes
164	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Math 4567 Exam	✓	18.115	✓	3.305	Yes
165	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	With source	✓	67.959	✓	8.844
166	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	special initial condition	✓	3.189	✗ (Timed out)	600.	Yes
167	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction and Euler-Cauchy Sturm-Liouville	✓	1.816	✓	7.57
168	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Using growth form reaction term	✓	93.031	✓	1.13	Yes
169	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using logistic form for reaction term	✗	4.709	✗	6.938
170	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using Aleee form for reaction term	✗	7.192	✗	11.236
171	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Haberman 2.3.8	✓	34.92	✓	3.22	Yes
172	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	34.502	✓	1.977	Yes
173	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	0.774	✓	2.005
174	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✗	43.242	✓	1.68
175	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (general case)	✓	3.081	✓	2.905	Yes
176	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (special case)	✓	63.055	✓	2.459	Yes	Yes
177	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.2 (general case)	✓	30.562	✓	4.834	Yes
178	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Left end zero, right end insulated, no source	✓	29.39	✓	2.623	Yes
179	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	One end insulated	✓	32.45	✓	2.755
180	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.7 (general case)	✓	32.108	✓	2.419	Yes
181	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	specific case	✓	12.122	✓	1.513	Yes	Yes
182	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (a)	✗ (Timed out)	600.	✓	39.665
183	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Both ends insulated, no source	✓	33.1	✓	3.24	Yes
184	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (b) (special case)	✓	1.606	✓	5.717	Yes
185	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (c) (special case)	✓	32.364	✓	19.146	Yes
186	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (d)	✓	1.387	✓	5.056
187	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	both ends insulated	✓	91.769	✓	12.132
188	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	32.721	✓	1.529
189	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.25	✓	42.65	✓	13.906
190	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	external source	✓	18.726	✓	38.169
191	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction (general case)	✓	91.872	✓	1.319	Yes	Yes
192	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.23	✓	64.245	✓	24.371
193	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.21	✓	63.132	✓	5.933
194	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Euler-Cauchy Sturm-Liouville	✓	2.684	✓	38.371	Yes
195	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	32.892	✓	2.715	Yes
196	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Mixed BC	✓	33.75	✓	5.871
197	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 8.2.1 (f)	✓	63.62	✓	7.951
198	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (general case)	✓	33.393	✓	3.734	Yes
199	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (special case)	✓	7.485	✓	2.226	Yes	Yes
200	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (general case)	✓	66.082	✓	3.428	Yes
201	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (special case)	✓	0.01	✓	3.907	Yes
202	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC, special case	✓	10.202	✓	3.405	Yes	Yes
203	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	convection heat loss	✓	39.799	✗ (Timed out)	600.	Yes
204	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	2.176	✓	10.863
205	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	92.738	✓	2.184
206	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	34.188	✓	20.303	Yes
207	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (general case)	✓	66.569	✓	15.038	Yes
208	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	88.627	✓	15.167	Yes	Yes
209	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	86.742	✓	9.942	Yes	Yes
210	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	Haberman 8.3.6 (special case)	✓	95.024	✓	25.764	Yes	Yes
211	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	BC depends on time (special case)	✓	12.162	✓	5.486
212	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). IC given	✓	15.368	✓	9.892
213	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). No IC given	✓	0.014	✓	1.958	Yes
214	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). Damped heat PDE. No IC given	✗	0.071	✓	2.001	Yes
215	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends non-homogeneous BC (general case)	✓	63.746	✓	6.998	Yes
216	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	non-homogeneous BC (special case)	✓	16.942	✓	3.002	Yes
217	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.1 (special case)	✓	63.188	✓	2.931	Yes
218	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (general case)	✓	52.613	✓	5.634	Yes
219	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (special case)	✓	94.816	✓	3.601	Yes	Yes
220	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space and time only (general case)	✓	69.048	✓	13.045	Yes
221	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (general case)	✓	84.436	✓	29.074	Yes
222	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (special case)	✓	67.824	✓	34.132	Yes	Yes
223	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends nonhomogeneous	✓	63.852	✓	33.68	Yes
224	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (a) (general case)	✓	38.949	✓	8.092	Yes
225	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (d) (general solution)	✓	54.039	✓	6.713	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)	✓	115.005	✗ (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)	✓	104.862	✓	37.183	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)	✓	79.308	✓	18.269	Yes
229	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source present (special case)	✓	117.548	✓	74.248	Yes	Yes
230	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Pinchover and Rubinstein 6.17	✗	21.971	✓	12.96
231	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	nonhomogeneous BC	✓	111.737	✓	31.023
232	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.2. (a)	✓	122.354	✓	25.014	Yes
233	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.3	✓	5.486	✓	18.149
234	Diffusion in 1D Semi-infinite domain	left end constant (general case)	✓	60.035	✓	2.283	Yes
235	Diffusion in 1D Semi-infinite domain	left end constant (special case)	✓ It fail if assumption \(x>0\) is given. A bug	31.691	✓	3.029	Yes	Yes
236	Diffusion in 1D Semi-infinite domain	Logan p. 76. Left end general function of time (general case)	✓	0.577	✓	7.363	Yes
237	Diffusion in 1D Semi-infinite domain	Left end function of time (special case)	✓	60.047	✓	12.418	Yes	Yes
238	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.029	✓	2.499
239	Diffusion in 1D Semi-infinite domain	I.C. not zero	✓ due to IC/BC not zero	13.357	✓	3.183
240	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.074	✓	2.483
241	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.071	✓	6.834
242	Diffusion in 1D Semi-infinite domain	nonhomogeneous B.C.	✓	60.033	✓	3.126
243	Diffusion in 1D Semi-infinite domain	Unit triangle I.C.	✓	61.013	✓	4.208
244	Diffusion in 1D Semi-infinite domain	I.C. not at \(t=0\)	✓	61.517	✓	6.016
245	Diffusion in 1D Semi-infinite domain	Diffusion with advection	✓	1.75	✓	5.401
246	Diffusion in 1D Semi-infinite domain	Practice exam problem	✓	60.108	✓	3.071
247	Diffusion in 1D Infinite domain	Inverse exponential I.C.	✓	0.869	✓	3.994	Yes
248	Diffusion in 1D Infinite domain	Advection term	✓	0.067	✓	2.934
249	Diffusion in 1D Infinite domain	UnitBox I.C.	✓	60.016	✓	6.347
250	Diffusion in 1D Infinite domain	No source	✓	0.4	✓	6.829
251	Diffusion in 1D Infinite domain	constant as source	✓	0.425	✓	3.457
252	Diffusion in 1D Infinite domain	No intial conditions	✓	0.004	✓	0.754	Yes
253	Diffusion in 1D Infinite domain	piecewise I.C.	✓ due to i.c. not at zero	52.493	✓	5.05	Yes
254	Diffusion in 1D Infinite domain	Practice exam problem	✓	0.065	✓	1.716
255	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	No source	✓	4.249	✓	15.159
256	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Internal source term	✓	10.246	✓	13.63
257	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Articolo 6.6.3	✓	6.641	✓	22.307
258	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (General solution)	✓	0.97	✓ Cant get series solution	60.266	Yes
259	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (Specific solution)	✓	2.743	✓ Do not understand Maple solution	21.679	Yes	Yes
260	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	0.343	✓	6.467
261	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	1.131	✓	1.321
262	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.3.5 (General solution)	✓	19.48	✓	5.786	Yes
263	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	3.518	✓	4.102	Yes	Yes
264	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	2.722	✗	6.169	Yes	Yes
265	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.1	✓	4.127	✗	3.6
266	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.2	✓	4.582	✓	41.933
267	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.2.5 with \(\theta \) dependency (General case)	✓	372.358	✗	1.783	Yes
268	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (Specific example)	✓	8.97	✗	5.392	Yes	Yes
269	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (specific example)	✓	10.372	✗	8.127	Yes	Yes
270	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (General solution)	✓	4.818	✗	8.399	Yes
271	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✓	16.146	✗	7.529	Yes	Yes
272	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✗ (Timed out)	600.	✗	7.495	Yes	Yes
273	Diffusion in 3D Spherical coordinates	No angle dependencies	✓	61.104	✓ Has unresolved Laplace integrals	3.881
274	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (a)	✓	1.883	✓	73.092	Yes	Yes
275	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (b)	✓	6.469	✗	44.451	Yes	Yes
276	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (c)	✓	3.162	✗	43.613
277	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (a)	✗	0.012	✗	4.304
278	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (b)	✗	0.008	✗	4.246
279	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (c)	✗	0.012	✗	4.19

Elliptic PDE’s (Laplace, Poisson, Helmholtz)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
280	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge not	✓	1.78	✓	78.191	Yes
281	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, right edge not	✓	1.83	✓	8.617	Yes
282	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge has impulse	✓	4.12	✓	27.954	Yes
283	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (a)	✓	0.988	✓	64.358
284	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (b)	✓	0.944	✓	65.826
285	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (c)	✓	4.685	✓	54.033
286	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (d)	✓	4.133	✓	82.87
287	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (e)	✓	19.674	✓	76.588	Yes
288	Laplace in 2D Cartesian coordinates	Unit triangle B.C.	✓	0.985	✓	21.389
289	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	3.586	✓	10.857	Yes
290	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	2.813	✓	7.947	Yes
291	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	3.514	✓	7.078	Yes
292	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	41.351	✓	66.157	Yes
293	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	2.994	✓	85.598
294	Laplace in 2D Cartesian coordinates	Laplace PDE in 2D Cartessian with boundary condition as Dirac function	✓	0.044	✓	3.888
295	Laplace in 2D Cartesian coordinates	One side homogeneous	✓	1.692	✓	114.204
296	Laplace in 2D Cartesian coordinates	In right half plane	✓	21.834	✓	4.683
297	Laplace in 2D Cartesian coordinates	Right edge at infinity	✗	2.434	✓	49.432
298	Laplace in 2D Cartesian coordinates	Dirichlet problem Upper half	✓	1.371	✓	5.602
299	Laplace in 2D Cartesian coordinates	Right half-plane	✓	19.623	✓	8.136
300	Laplace in 2D Cartesian coordinates	First quadrant	✓	14.632	✗	35.432
301	Laplace in 2D Cartesian coordinates	Neumann problem upper half-plane	✓	4.77	✓ used convert(sol,Int).	9.987
302	Laplace in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	2.303	✓	12.565
303	Laplace in 2D Cartesian coordinates	Strip in upper half	✓	60.258	✓	13.794
304	Laplace in 2D Cartesian coordinates	in Rectangle, right edge at infinity	✗	2.353	✓	48.434
305	Laplace in 2D Polar coordinates	Laplace PDE inside quarter disk, Neumann BC at edge	✓	3.459	✓	6.01
306	Laplace in 2D Polar coordinates	\(r=4\) and \(u=x^4\) at boundary of disk	✓	150.086	✓	20.028	Yes
307	Laplace in 2D Polar coordinates	\(r=1\) and \(u_r=x\) at boundary of disk	✗	2.589	✗	2.19	Yes
308	Laplace in 2D Polar coordinates	Laplace inside disk. General solution	✓	0.624	✓	12.795
309	Laplace in 2D Polar coordinates	Laplace inside disk. Specific boundary conditions	✓	3.936	✓	11.652	Yes
310	Laplace in 2D Polar coordinates	Haberman 2.5.5 (c)	✗	3.989	✓	5.669	Yes
311	Laplace in 2D Polar coordinates	semi-circle	✓	2.08	✓	2.38
312	Laplace in 2D Polar coordinates	Haberman 2.5.8 (b)	✓	8.91	✓	250.	Yes
313	Laplace in 2D Polar coordinates	Circular annulus	✓	0.519	✓	6.887
314	Laplace in 2D Polar coordinates	Outside a disk	✓	6.915	✓	9.466
315	Laplace in 2D Polar coordinates	Outside a disk	✓	4.21	✓	16.356	Yes
316	Laplace in 3D Spherical coordinates	In a sphere	✓	0.036	✓	3.632
317	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (a)	✗	0.018	✗	1.206
318	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (b)	✗	0.015	✗	0.948
319	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (c)	✗	0.015	✗	0.984
320	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (d)	✗	0.014	✗	1.03
321	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (e)	✗	0.015	✗	1.014
322	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (a)	✗	0.015	✗	1.875
323	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (b)	✗	0.015	✗	54.412
324	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (c)	✗	0.02	✗	55.061
325	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (d)	✗	0.014	✗	1.882
326	Poisson in 2D Cartesian coordinates	All boundaries at zero	✗	0.015	✗	79.61	Yes
327	Poisson in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	1.368	✓	0.457
328	Poisson in 2D Cartesian coordinates	Poisson PDE in whole 2D plane	✓	31.393	✓	0.07	Yes
329	Helmholtz in 2D Cartesian coordinates	In rectangle	✓	64.18	✓	35.915
330	Helmholtz in 2D Cartesian coordinates	On whole plane	✓ why? It solved earlier with BC?	0.004	✓	0.282
331	Helmholtz in 2D Cartesian coordinates	Reduced Helmholtz Inside square	✓	62.146	✓	98.688
332	Helmholtz in 3D Spherical coordinates	Chain reaction PDE	✗	0.123	✗ trivial solution	2.657	Yes

Hyperbolic PDE’s (Wave)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
333	Wave PDE in 1D Finite length string	General solution for both ends fixed. Domain is \(0\dots L\)	✓	33.33	✓	27.737	Yes
334	Wave PDE in 1D Finite length string	both ends fixed, inital position zero (special case)	✓	3.324	✓	15.475	Yes	Yes
335	Wave PDE in 1D Finite length string	both ends fixed, inital velocity zero (special case)	✓	2.518	✓	10.231	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	✓	6.978	✓	85.345	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	✓	1.749	✓	23.163	Yes
338	Wave PDE in 1D Finite length string	Logan book, page 28. Both ends fixed	✓	0.974	✓	2.69
339	Wave PDE in 1D Finite length string	non-zero initial velocity. Both ends fixed	✓	86.507	✓	12.629
340	Wave PDE in 1D Finite length string	Logan book page 149)	✓	20.85	✓	13.871
341	Wave PDE in 1D Finite length string	Haberman 8.5.2 (a)	✓	23.852	✓	57.95
342	Wave PDE in 1D Finite length string	Haberman 8.5.2 (b)	✓	38.58	✓	37.831	Yes
343	Wave PDE in 1D Finite length string	Both I.C. not zero	✓	22.264	✓	18.398
344	Wave PDE in 1D Finite length string	With constant source	✓	34.232	✓	28.917
345	Wave PDE in 1D Finite length string	Logan page 213	✓	4.763	✓	20.611
346	Wave PDE in 1D Finite length string	Telegraphy PDE	✓	86.878	✓	20.632
347	Wave PDE in 1D Finite length string	Dispersion term present (general case)	✓ Due to adding dispersion term	25.235	✓	26.439	Yes
348	Wave PDE in 1D Finite length string	Dispersion term present	✓ Due to adding dispersion term	92.86	✓	110.806	Yes
349	Wave PDE in 1D Finite length string	Dispersion term present (specific case)	✓ Due to adding dispersion term	94.897	✓	25.956	Yes	Yes
350	Wave PDE in 1D Finite length string	non-zero initial position	✓ But sum should not include \(n=2\)	7.991	✓ Handled \(n=2\) case correctly	86.579
351	Wave PDE in 1D Finite length string	With source	✓	10.847	✓	83.973
352	Wave PDE in 1D Finite length string	Right end free (general case)	✓	25.353	✓	36.437	Yes
353	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (general case)	✓	7.149	✓	26.58	Yes
354	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (special case)	✓	89.446	✓	20.785	Yes	Yes
355	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (general case)	✓	52.43	✓	32.879	Yes
356	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, underdamped)	✓	114.95	✓	34.069	Yes	Yes
357	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, critical damped)	✓	114.627	✓	45.159	Yes	Yes
358	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, over damped)	✓	116.345	✓	32.581	Yes	Yes
359	Wave PDE in 1D Finite length string	I.C. at different times, right end free, with source	✗	40.028	✓	87.878	Yes
360	Wave PDE in 1D Finite length string	Right end oscillates	✓	66.861	✓	67.83
361	Wave PDE in 1D Finite length string	Perioidic B.C.	✗	2.412	✗	1.579
362	Wave PDE in 1D Finite length string	Mixed B.C.	✗	15.603	✗	1.116
363	Wave PDE in 1D Finite length string	Left end fixed, right end non-homogeneous Neumann BC. Zero initial conditions	✓	63.343	✓	27.013	Yes	Yes
364	Wave PDE in 1D Semi-infinite domain	Left end fixed, (general case)	✓	3.996	✗	1.541	Yes
365	Wave PDE in 1D Semi-infinite domain	Left end fixed with specific initial position	✓	15.596	✓	19.95	Yes
366	Wave PDE in 1D Semi-infinite domain	Logan page 115, left end fixed with source	✓	7.298	✓	2.138
367	Wave PDE in 1D Semi-infinite domain	Left moving boundary condition	✓	1.94	✓	1.46
368	Wave PDE in 1D Semi-infinite domain	moving Left end	✓	9.201	✓	3.219
369	Wave PDE in 1D Semi-infinite domain	I.C. at \(t=1\)	✓	9.147	✓	1.544
370	Wave PDE in 1D Semi-infinite domain	B.C. at \(x=1\)	✓	76.551	✓	3.115
371	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (general solution)	✓	7.123	✓	5.26
372	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (Special solution)	✓	4.202	✓	3.402	Yes	Yes
373	Wave PDE in 1D Semi-infinite domain	Left end fixed. zero initial velocity (Special solution)	✓	4.373	✓	3.247	Yes	Yes
374	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial position (general solution)	✓	8.691	✓	1.785
375	Wave PDE in 1D Semi-infinite domain	Left end free. Non zero initial position and velocity (general solution)	✓	33.339	✓	1.563
376	Wave PDE in 1D Semi-infinite domain	Left end free with source	✓	1.122	✓	1.379
377	Wave PDE in 1D Infinite domain	General case. \(u_{tt} = u_{xx}\) with \(u(x,0)=f(x),u_t(x,0)=g(x)\)	✓	0.019	✓	0.699
378	Wave PDE in 1D Infinite domain	General case. No IC given. \(u_{tt} + u_{xt} = c^2 u_{xx}\)	✓	0.005	✓	0.538
379	Wave PDE in 1D Infinite domain	\(u_{tt}= c^2 u_{xx} + f(x,t)\), IC at \(t=1\),\(u(x,1) = g(x),u_t(x,1)=h(x)\)	✓	0.158	✓	14.809
380	Wave PDE in 1D Infinite domain	No source. \(u_{tt} = u_{xx}\), with \(u(x,0) =e^{-x^2},u_t(x,0)=1\)	✓	0.002	✓	0.589
381	Wave PDE in 1D Infinite domain	With source term. \(u_{tt} = u_{xx} + m\)	✓	0.011	✓	0.437
382	Wave PDE in 1D Infinite domain	non-linear (Solitons) \(u_t +6 u(x,t) u_x + u_{xxx} = 0\)	✓	0.028	✓	0.458	Yes	Yes
383	Wave PDE in 1D Infinite domain	Inhomogeneous PDE \(3 u_{xx}- u_{tt} + u_{xt}=1\)	✓	0.003	✓	0.329
384	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.029	✓	0.388
385	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.002	✓	0.304
386	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	8.846	✓	0.407
387	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.002	✓	0.309	Yes	Yes
388	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.004	✓	4.24	Yes	Yes
389	Wave PDE in 1D Infinite domain	General case \(u_{tt} = u_{xx}\) with \(u(x,0)=\sin x, u_t(x,0)=-2 x e^{-x^2}\)	✓	0.1	✓	0.401
390	Wave PDE in 1D Infinite domain	General case. \(u_{tt} =u_{xx}\) dAlembert solution, box function as initial position	✓	0.003	✓	0.341	Yes	Yes
391	Wave PDE in 1D Infinite domain	\(u_{tt}=4 u_{xx}+ \cos (t)\) dAlembert solution with \(u(x,0)=\sin x,u_t(x,0)=\cos x\)	✓	0.096	✓	0.737	Yes	Yes
392	Wave PDE in 1D Infinite domain	\(u_{tt}=c^2 u_{xx}\) dAlembert solution with \(u(x,0)=\delta (x-a),u_t(x,0)=0\)	✓	63.956	✓	0.737	Yes
393	Wave PDE in 1D Infinite domain	system of 2 inhomogeneous linear hyperbolic system with constant coefficients	✓	0.267	✗	1.359
394	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, General solution	✗	2.271	✓	559.481	Yes
395	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, zero velocity. Specific example	✗	0.424	✓	30.771	Yes	Yes
396	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example	✓	33.848	✓	53.935	Yes	Yes
397	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example, delta in center	✓	9.295	✓	53.67	Yes	Yes
398	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed	✓	4.949	✓	29.946
399	Wave PDE in 2D Cartesian coordinates	All edges fixed (Haberman 8.5.5 (a)	✓	27.715	✗	0.932
400	Wave PDE in 2D Cartesian coordinates	2 edgs fixed, 2 free, zero initial velocity	✓	5.952	✓	58.452
401	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, general solution	✓	1.411	✗ (Timed out)	600.	Yes
402	Wave PDE in 2D Cartesian coordinates	With damping	✓	9.074	✓	87.58
403	Wave PDE in 2D Cartesian coordinates	On the whole plane	✓	0.171	✗	0.574
404	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency, fixed boundary, general case	✓	3.01	✓ Has unresolved Invlaplace calls	2.532	Yes
405	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	2.684	✓ Has unresolved Invlaplace calls	93.789
406	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	2.549	✓ Has unresolved Invlaplace calls. How to get series solution?	39.994	Yes	Yes
407	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✓	3.628	✓	18.789
408	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	2.511	✓	2.416
409	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, general solution	✓	9.409	✗	6.898	Yes
410	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, general solution	✓	4.687	✗	5.48	Yes
411	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, specific example	✓	15.449	✗	7.102	Yes	Yes
412	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position, specific example	✓	7.747	✗	6.869	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)	✗	0.042	✗	0.692	Yes
414	Wave PDE in 3D Spherical coordinates	No I.C. no B.C.	✓	0.039	✓	5.077
415	Wave PDE in 3D Cylindrical coordinates	No I.C. no B.C.	✓	0.006	✓	0.887

Handbook of first order partial differential equations

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
416	chapter 1	problem number 1	✓	0.005	✓	0.089
417	chapter 1	problem number 2	✓	0.004	✓	0.007
418	chapter 1	problem number 3	✓	0.017	✓	0.006	Yes
419	chapter 1	problem number 4	✓	0.016	✓	0.004
420	chapter 1	problem number 5	✓	0.032	✓	0.021	Yes
421	chapter 1	problem number 6	✓	0.03	✓	0.018
422	chapter 2 2.1	problem number 1	✓	0.006	✓	0.097	Yes
423	chapter 2 2.1	problem number 2	✓	0.01	✓	0.094	Yes
424	chapter 2 2.1	problem number 3	✓	0.054	✓	0.263	Yes
425	chapter 2 2.1	problem number 4	✓	0.021	✓	0.161	Yes
426	chapter 2 2.1	problem number 5	✓	0.024	✓	0.42	Yes
427	chapter 2 2.1	problem number 6	✓	0.05	✓	0.317	Yes
428	chapter 2 2.1	problem number 7	✓	0.055	✓	4.207	Yes
429	chapter 2 2.1	problem number 8	✗	2.383	✓	7.648
430	chapter 2 2.2	problem number 1	✓	0.009	✓	0.011
431	chapter 2 2.2	problem number 2	✓	0.244	✓	0.467
432	chapter 2 2.2	problem number 3	✓	0.106	✓	0.101
433	chapter 2 2.2	problem number 4	✓	0.385	✓	0.328
434	chapter 2 2.2	problem number 5	✓	0.25	✓	1.324
435	chapter 2 2.2	problem number 6	✓	0.33	✓	0.549
436	chapter 2 2.2	problem number 7	✓	0.353	✓	0.937
437	chapter 2 2.2	problem number 8	✓	0.511	✓	0.727
438	chapter 2 2.2	problem number 9	✓	0.299	✓	0.65
439	chapter 2 2.2	problem number 10	✓	0.171	✓	0.309
440	chapter 2 2.2	problem number 11	✓	0.318	✓	0.417
441	chapter 2 2.2	problem number 12	✓	0.822	✓	1.457
442	chapter 2 2.2	problem number 13	✓	0.113	✓	0.017
443	chapter 2 2.2	problem number 14	✓	0.27	✓	0.961
444	chapter 2 2.2	problem number 15	✓	0.7	✓	0.774
445	chapter 2 2.2	problem number 16	✓	1.564	✓	0.519
446	chapter 2 2.2	problem number 17	✓	0.951	✓	0.966
447	chapter 2 2.2	problem number 18	✓	0.292	✓	0.121
448	chapter 2 2.2	problem number 19	✓	0.294	✓	0.89
449	chapter 2 2.2	problem number 20	✗	0.261	✓	1.122
450	chapter 2 2.2	problem number 21	✓	0.196	✓	1.139
451	chapter 2 2.2	problem number 22	✓	0.348	✓	1.8
452	chapter 2 2.2	problem number 23	✓	0.438	✓	1.015
453	chapter 2 2.2	problem number 24	✗	0.313	✓	0.85
454	chapter 2 2.2	problem number 25	✗ (Timed out)	600.	✗ (Timed out)	600.
455	chapter 2 2.2	problem number 26	✗	165.853	✗	33.849
456	chapter 2 2.2	problem number 27	✗	101.598	✗	1.361
457	chapter 2 2.2	problem number 28	✗	0.528	✓ solution contains RootOf	0.111
458	chapter 2 2.2	problem number 29	✗	101.315	✗	1.211
459	chapter 2 2.2	problem number 30	✗	0.305	✓	0.132
460	chapter 2 2.2	problem number 31, Hesse’s equation	✗	235.84	✓	9.247
461	chapter 2 2.3	problem number 1	✓ But it can’t solve it when assuming \(b>0\) which is strange.	0.491	✓	0.53
462	chapter 2 2.3	problem number 2	✓	0.074	✓	0.161
463	chapter 2 2.3	problem number 3	✓	0.179	✓	0.486
464	chapter 2 2.3	problem number 4	✗	0.277	✓	0.627
465	chapter 2 2.3	problem number 5	✗	0.932	✓ Answer contains RootOf	0.075
466	chapter 2 2.3	problem number 6	✗	0.232	✓ Answer contains RootOf	0.035
467	chapter 2 2.3	problem number 7	✓	0.234	✓	0.083
468	chapter 2 2.3	problem number 8	✓	0.265	✓	0.042
469	chapter 2 2.3	problem number 9	✗ (Timed out)	600.	✓	0.036
470	chapter 2 2.4	problem number 1	✓	0.037	✓	0.025
471	chapter 2 2.4	problem number 2	✓	0.268	✓	0.262
472	chapter 2 2.4	problem number 3	✓	0.196	✓	0.194
473	chapter 2 2.4	problem number 4	✓	0.467	✓	0.309
474	chapter 2 2.4	problem number 5	✗	0.53	✗ (Timed out)	600.
475	chapter 2 2.4	problem number 6	✓	1.952	✓	0.254
476	chapter 2 2.4	problem number 7	✗	1.872	✓	3.05
477	chapter 2 2.5	problem number 1	✓	0.058	✓	0.087
478	chapter 2 2.5	problem number 2	✓	0.134	✓	0.57
479	chapter 2 2.5	problem number 3	✓	0.198	✓	0.098
480	chapter 2 2.5	problem number 4	✗	20.865	✓	0.613
481	chapter 2 2.5	problem number 5	✓	0.933	✓	0.379
482	chapter 2 2.5	problem number 6	✗	1.853	✓	0.662
483	chapter 2 2.5	problem number 7	✓	0.458	✓	0.081
484	chapter 2 2.5	problem number 8	✗	23.262	✓	1.414
485	chapter 2 2.5	problem number 9	✗	1.15	✓	0.698
486	chapter 2 2.5	problem number 10	✗	2.964	✓	1.692
487	chapter 2 2.5	problem number 11	✗	26.182	✗	6.795
488	chapter 2 2.5	problem number 12	✗	25.253	✗	4.863
489	chapter 2 2.5	problem number 13	✗	30.158	✗	9.931
490	chapter 2 2.5	problem number 14	✗	0.36	✓ Solution contains RootOf	0.141
491	chapter 2 2.5	problem number 15	✓	0.639	✓	2.027
492	chapter 2 2.5	problem number 16	✗	78.509	✗	60.095
493	chapter 2 2.5	problem number 17	✗	0.304	✓	0.506
494	chapter 2 2.5	problem number 18	✗	0.578	✓	0.491
495	chapter 2 2.5	problem number 19	✓	0.361	✓	2.204
496	chapter 2 2.5	problem number 20	✓	0.298	✓	0.107
497	chapter 2 2.5	problem number 21	✓	0.641	✓	0.132
498	chapter 2 2.5	problem number 22	✓	0.59	✓	0.076
499	chapter 2 2.5	problem number 23	✗	26.472	✓	0.208
500	chapter 2 2.5	problem number 24	✓	0.331	✓	0.076
501	chapter 2 2.5	problem number 25	✓	0.614	✓	0.043
502	chapter 2 2.5	problem number 26	✓	0.86	✓	0.077
503	chapter 2 2.5	problem number 27	✓	0.413	✓	0.134
504	chapter 2 2.5	problem number 28	✗	0.477	✓ Solution contains RootOf	0.07
505	chapter 2 2.5	problem number 29	✗	0.365	✓ Solution contains RootOf	0.051
506	chapter 2 2.5	problem number 30	✗	0.708	✓	1.33
507	chapter 2 2.5	problem number 31	✗	18.477	✓	1.675
508	chapter 2 2.5	problem number 32	✗	114.344	✗	51.341
509	chapter 2 2.5	problem number 33	✓	0.562	✓	0.155
510	chapter 2 2.5	problem number 34	✓	0.455	✓	0.063
511	chapter 2 2.5	problem number 35	✓	0.242	✓	0.108
512	chapter 2 2.5	problem number 36	✓	0.213	✓	0.423
513	chapter 2 2.5	problem number 37	✓	0.479	✓	0.641
514	chapter 2 2.5	problem number 38	✓	2.637	✓	0.16
515	chapter 2 2.5	problem number 39	✓	0.182	✓	0.125
516	chapter 2 2.5	problem number 40	✗	103.396	✗	32.259
517	chapter 2 2.5	problem number 41	✓	1.078	✓	0.225
518	chapter 2 2.5	problem number 42	✗	4.276	✓	4.957
519	chapter 2 2.5	problem number 43	✗	2.982	✓	3.824
520	chapter 2 2.5	problem number 44	✗	31.136	✗	15.634
521	chapter 2 2.5	problem number 45	✗	31.691	✗	25.436
522	chapter 2 2.5	problem number 46	✗	12.09	✓	4.766
523	chapter 2 2.5	problem number 47	✓	1.44	✓	0.135
524	chapter 2 2.5	problem number 48	✗	33.94	✓	0.789
525	chapter 2 2.5	problem number 49	✗	21.879	✗	17.779
526	chapter 2 2.5	problem number 50	✗	51.312	✗	80.184
527	chapter 2 2.5	problem number 51	✗	0.992	✓	0.617
528	chapter 2 2.5	problem number 52	✗	11.804	✗	3.492
529	chapter 2 2.5	problem number 53	✗	0.833	✓	0.669
530	chapter 2 2.5	problem number 54	✗	0.956	✗	2.882
531	chapter 2 2.5	problem number 55	✗	19.752	✗	10.097
532	chapter 2 2.5	problem number 56	✗	1.495	✓	1.217
533	chapter 2 3.1	problem number 1	✓	0.021	✓	0.013
534	chapter 2 3.1	problem number 2	✓	0.029	✓	0.01
535	chapter 2 3.1	problem number 3	✓	0.215	✓	0.238
536	chapter 2 3.1	problem number 4	✓	0.4	✓	0.318
537	chapter 2 3.1	problem number 5	✗	1.053	✓	0.963
538	chapter 2 3.1	problem number 6	✓	0.284	✓	0.048
539	chapter 2 3.1	problem number 7	✓	0.235	✓	0.045
540	chapter 2 3.1	problem number 8	✓	0.634	✓ Has RootOf	0.673
541	chapter 2 3.1	problem number 9	✓	0.499	✓	0.257
542	chapter 2 3.1	problem number 10	✗	0.666	✓	0.671
543	chapter 2 3.1	problem number 11	✗	2.633	✗	3.273
544	chapter 2 3.2	problem number 1	✓	0.786	✓	0.315
545	chapter 2 3.2	problem number 2	✓	1.149	✓	0.225
546	chapter 2 3.2	problem number 3	✓	0.496	✓	0.104
547	chapter 2 3.2	problem number 4	✓	0.625	✓	0.258
548	chapter 2 3.2	problem number 5	✓	0.385	✓	0.073
549	chapter 2 3.2	problem number 6	✗	23.202	✗	8.744
550	chapter 2 3.2	problem number 7	✓	0.59	✓	0.099
551	chapter 2 3.2	problem number 8	✗	1.051	✓	0.145
552	chapter 2 3.2	problem number 9	✓	1.513	✓	0.366
553	chapter 2 3.2	problem number 10	✓	1.289	✓	0.309
554	chapter 2 3.2	problem number 11	✗	22.612	✓	0.46
555	chapter 2 3.2	problem number 12	✓	3.572	✓	0.127
556	chapter 2 3.2	problem number 13	✓	0.76	✓	0.119
557	chapter 2 3.2	problem number 14	✗	24.234	✗	7.086
558	chapter 2 3.2	problem number 15	✗	2.973	✓	0.776
559	chapter 2 3.2	problem number 16	✗	22.908	✗	6.699
560	chapter 2 3.2	problem number 17	✗	1.804	✓	0.536
561	chapter 2 3.2	problem number 18	✗	23.297	✗	4.619
562	chapter 2 3.2	problem number 19	✓	0.513	✓	0.159
563	chapter 2 3.2	problem number 20	✗	23.169	✗	4.096
564	chapter 2 3.2	problem number 21	✗	25.852	✗	4.52
565	chapter 2 3.2	problem number 22	✓	2.881	✓	0.19
566	chapter 2 3.2	problem number 23	✓	0.787	✓	0.185
567	chapter 2 3.2	problem number 24	✗	21.9	✗	4.456
568	chapter 2 3.2	problem number 25	✓	0.485	✓	0.132
569	chapter 2 3.2	problem number 26	✓	0.554	✓	0.135
570	chapter 2 3.2	problem number 27	✗	1.139	✓ Solution contains RootOf	0.156
571	chapter 2 3.2	problem number 28	✓	0.606	✓	0.181
572	chapter 2 3.2	problem number 29	✓	0.41	✓	0.098
573	chapter 2 3.2	problem number 30	✓	3.889	✓	0.148
574	chapter 2 3.2	problem number 31	✗	50.01	✓	20.971
575	chapter 2 3.2	problem number 32	✓	0.28	✓	0.087
576	chapter 2 3.2	problem number 33	✗	0.395	✓	0.171
577	chapter 2 3.2	problem number 34	✗	1.469	✓	4.034
578	chapter 2 3.2	problem number 35	✗	1.005	✓	3.255
579	chapter 2 3.2	problem number 36	✗	1.093	✓	4.409
580	chapter 2 4.1	problem number 1	✓	0.023	✓	0.015
581	chapter 2 4.1	problem number 2	✓	0.14	✓	0.092
582	chapter 2 4.1	problem number 3	✓	3.23	✓	0.93
583	chapter 2 4.1	problem number 4	✗	43.098	✓	0.333
584	chapter 2 4.1	problem number 5	✗	57.21	✓	1.408
585	chapter 2 4.1	problem number 6	✓	0.22	✓	0.049
586	chapter 2 4.1	problem number 7	✓	0.041	✓	0.044
587	chapter 2 4.2	problem number 1	✓	0.019	✓	0.012
588	chapter 2 4.2	problem number 2	✓	0.115	✓	0.082
589	chapter 2 4.2	problem number 3	✗	61.929	✓	1.036
590	chapter 2 4.2	problem number 4	✗	64.619	✓	1.503
591	chapter 2 4.2	problem number 5	✗	1.778	✓	2.435
592	chapter 2 4.2	problem number 6	✗	2.923	✓	6.262
593	chapter 2 4.2	problem number 7	✗	487.736	✓	1.779
594	chapter 2 4.2	problem number 8	✓	0.212	✓	0.053
595	chapter 2 4.3	problem number 1	✓	0.028	✓	0.016
596	chapter 2 4.3	problem number 2	✓	0.185	✓	0.003
597	chapter 2 4.3	problem number 3	✓	3.367	✓	0.589
598	chapter 2 4.3	problem number 4	✗	43.425	✓	2.086
599	chapter 2 4.3	problem number 5	✗	2.778	✓	2.24
600	chapter 2 4.3	problem number 6	✗	4.636	✓	4.019
601	chapter 2 4.3	problem number 7	✗	75.718	✓	2.169
602	chapter 2 4.3	problem number 8	✓	0.341	✓	0.114
603	chapter 2 4.4	problem number 1	✓	0.029	✓	0.016
604	chapter 2 4.4	problem number 2	✓	0.189	✓	0.323
605	chapter 2 4.4	problem number 3	✓	3.102	✓	1.197
606	chapter 2 4.4	problem number 4	✓	4.441	✓	0.517
607	chapter 2 4.5	problem number 1	✓	0.28	✓	0.103
608	chapter 2 4.5	problem number 2	✓	0.28	✓	0.063
609	chapter 2 4.5	problem number 3	✓	2.838	✓	0.571
610	chapter 2 4.5	problem number 4	✓	14.583	✓	5.267
611	chapter 2 4.5	problem number 5	✓	0.192	✓	0.053
612	chapter 2 4.5	problem number 6	✗	583.259	✓	4.686
613	chapter 2 5.1	problem number 1	✓	0.061	✓	0.024
614	chapter 2 5.1	problem number 3	✓	1.078	✓	0.033
615	chapter 2 5.1	problem number 4	✗	3.213	✓	0.076
616	chapter 2 5.2	problem number 1	✓	0.252	✓	0.13
617	chapter 2 5.2	problem number 2	✓	0.271	✓	0.067
618	chapter 2 5.2	problem number 3	✗	1.315	✓	0.225
619	chapter 2 5.2	problem number 4	✓	0.838	✓	0.219
620	chapter 2 5.2	problem number 5	✗	23.747	✗	3.578
621	chapter 2 5.2	problem number 6	✗	27.327	✓	1.08
622	chapter 2 5.2	problem number 7	✗	27.996	✗	4.928
623	chapter 2 5.2	problem number 8	✗	24.407	✗	3.554
624	chapter 2 5.2	problem number 9	✓	0.937	✓	0.131
625	chapter 2 5.2	problem number 10	✗	3.325	✓	0.924
626	chapter 2 5.2	problem number 11	✓	0.218	✓	0.103
627	chapter 2 5.2	problem number 12	✗	20.993	✗	1.659
628	chapter 2 5.2	problem number 13	✗	23.817	✗	2.746
629	chapter 2 5.2	problem number 14	✗	22.633	✗	2.183
630	chapter 2 5.2	problem number 15	✓	0.486	✓	0.466
631	chapter 2 5.2	problem number 16	✓	0.319	✓	0.079
632	chapter 2 5.2	problem number 17	✓	1.122	✓	0.101
633	chapter 2 5.2	problem number 18	✓	0.808	✓	0.408
634	chapter 2 5.2	problem number 19	✗	4.562	✓	1.341
635	chapter 2 5.2	problem number 20	✗	4.582	✓	1.284
636	chapter 2 5.2	problem number 21	✗	26.571	✓	0.119
637	chapter 2 5.2	problem number 22	✓	0.721	✓	0.695
638	chapter 2 5.2	problem number 23	✓	0.7	✓	0.202
639	chapter 2 6.1	problem number 1	✓	0.497	✓	0.143
640	chapter 2 6.1	problem number 2	✓ contains unresolved integral	5.852	✓ contains unresolved integral	0.927
641	chapter 2 6.1	problem number 3	✓	1.43	✓ contains unresolved integral	1.581
642	chapter 2 6.1	problem number 4	✗	11.481	✓ contains unresolved integral	1.606
643	chapter 2 6.1	problem number 5	✗	42.587	✓	0.902
644	chapter 2 6.1	problem number 6	✗	4.735	✓ contains unresolved integrals	0.279
645	chapter 2 6.1	problem number 7	✓	19.363	✓	4.358
646	chapter 2 6.1	problem number 8	✗	43.063	✓	0.448
647	chapter 2 6.1	problem number 9	✗	44.379	✓	2.343
648	chapter 2 6.1	problem number 10	✗	44.975	✓	1.377
649	chapter 2 6.1	problem number 11	✗	37.431	✓	9.72
650	chapter 2 6.1	problem number 12	✗	144.702	✗ (Timed out)	600.
651	chapter 2 6.1	problem number 13	✓	0.761	✓	0.767
652	chapter 2 6.1	problem number 14	✗	13.412	✓	2.212
653	chapter 2 6.2	problem number 1	✓	0.529	✓ Contains unresolved integral	0.279
654	chapter 2 6.2	problem number 2	✓	3.955	✓	0.43
655	chapter 2 6.2	problem number 3	✓	0.819	✓	1.664
656	chapter 2 6.2	problem number 4	✗	9.572	✓	0.792
657	chapter 2 6.2	problem number 5	✗	42.291	✓	0.683
658	chapter 2 6.2	problem number 6	✗	42.82	✓	0.518
659	chapter 2 6.2	problem number 7	✗	45.317	✓	2.367
660	chapter 2 6.2	problem number 8	✗	45.734	✓	1.367
661	chapter 2 6.2	problem number 9	✗	135.562	✓	2.931
662	chapter 2 6.2	problem number 10	✗	2.281	✓	3.102
663	chapter 2 6.2	problem number 11	✗	1.857	✓	7.699
664	chapter 2 6.2	problem number 12	✗	53.846	✓	3.14
665	chapter 2 6.3	problem number 1	✓	0.052	✓	0.016
666	chapter 2 6.3	problem number 2	✓	0.434	✓	0.218
667	chapter 2 6.3	problem number 3	✓	0.911	✓ Has unresolved integrals	2.066
668	chapter 2 6.3	problem number 4	✗	44.497	✓	0.617
669	chapter 2 6.3	problem number 5	✗	46.942	✓	0.622
670	chapter 2 6.3	problem number 6	✓	2.57	✓	1.32
671	chapter 2 6.3	problem number 7	✗	38.765	✓	4.686
672	chapter 2 6.3	problem number 8	✗	45.215	✗	20.774
673	chapter 2 6.3	problem number 9	✗	166.671	✗ (Timed out)	600.
674	chapter 2 6.3	problem number 10	✓	0.78	✓	0.611
675	chapter 2 6.3	problem number 11	✗	94.742	✓	15.795
676	chapter 2 6.3	problem number 12	✗	24.388	✓	3.168
677	chapter 2 6.3	problem number 13	✗	2.08	✓	3.341
678	chapter 2 6.3	problem number 14	✗	2.011	✓	5.047
679	chapter 2 6.3	problem number 15	✗	27.354	✓	4.43
680	chapter 2 6.4	problem number 1	✓	0.42	✓ Has unresolved integral	0.381
681	chapter 2 6.4	problem number 2	✓	1.889	✓	0.426
682	chapter 2 6.4	problem number 3	✗	10.658	✓	0.762
683	chapter 2 6.4	problem number 4	✗	44.393	✓	0.597
684	chapter 2 6.4	problem number 5	✗	46.966	✓	0.58
685	chapter 2 6.4	problem number 6	✓	0.674	✓	0.164
686	chapter 2 6.4	problem number 7	✓	0.616	✓	1.329
687	chapter 2 6.4	problem number 8	✓	0.557	✓	0.502
688	chapter 2 6.4	problem number 9	✓	2.124	✓	0.425
689	chapter 2 6.4	problem number 10	✓	2.42	✓	4.456
690	chapter 2 6.4	problem number 11	✓	0.636	✓	0.566
691	chapter 2 6.4	problem number 12	✗	7.997	✓	1.376
692	chapter 2 6.5	problem number 1	✓	1.421	✓ Has unresolved integrals	0.576
693	chapter 2 6.5	problem number 2	✓	2.541	✓	0.697
694	chapter 2 6.5	problem number 3	✓	0.992	✓ Mathematica answer is simpler	0.998
695	chapter 2 6.5	problem number 4	✗	26.076	✗	35.38
696	chapter 2 6.5	problem number 5	✗	44.173	✓	0.678
697	chapter 2 6.5	problem number 6	✗	67.024	✓	1.395
698	chapter 2 6.5	problem number 7	✗	134.91	✗	117.056
699	chapter 2 6.5	problem number 8	✗	27.096	✓	0.695
700	chapter 2 6.5	problem number 9	✗	25.423	✓	0.003
701	chapter 2 6.5	problem number 10	✗	2.703	✓	1.561
702	chapter 2 6.5	problem number 11	✗ (Timed out)	600.	✓	2.48
703	chapter 2 7.1	problem number 1	✓	0.115	✓	0.159
704	chapter 2 7.1	problem number 2	✓	3.243	✓	0.172
705	chapter 2 7.1	problem number 3	✗	0.642	✓	0.279
706	chapter 2 7.1	problem number 4	✓	0.166	✓	0.23
707	chapter 2 7.1	problem number 5	✗	1.937	✓	0.934
708	chapter 2 7.1	problem number 6	✓	0.546	✓	1.879
709	chapter 2 7.1	problem number 7	✗	27.74	✓	12.804
710	chapter 2 7.1	problem number 8	✗	1.547	✓	0.907
711	chapter 2 7.1	problem number 9	✗	66.878	✗	90.249
712	chapter 2 7.1	problem number 10	✗	38.983	✗	132.413
713	chapter 2 7.1	problem number 11	✓	2.214	✓	0.275
714	chapter 2 7.1	problem number 12	✓	1.144	✓	1.199
715	chapter 2 7.2	problem number 1	✓	0.111	✓	0.127
716	chapter 2 7.2	problem number 2	✓	5.018	✓	0.192
717	chapter 2 7.2	problem number 3	✗	15.525	✓	0.285
718	chapter 2 7.2	problem number 4	✓	0.364	✓	0.279
719	chapter 2 7.2	problem number 5	✗	6.465	✓	57.786
720	chapter 2 7.2	problem number 6	✗	30.645	✗	19.338
721	chapter 2 7.2	problem number 7	✗	47.941	✓	5.516
722	chapter 2 7.2	problem number 8	✗	8.379	✓	50.029
723	chapter 2 7.2	problem number 9	✗	41.156	✗	97.47
724	chapter 2 7.2	problem number 10	✗	41.363	✗	130.597
725	chapter 2 7.2	problem number 11	✓	2.468	✓	0.331
726	chapter 2 7.2	problem number 12	✓	1.31	✓	1.038
727	chapter 2 7.3	problem number 1	✓	0.62	✓	0.293
728	chapter 2 7.3	problem number 2	✓	4.24	✓	0.292
729	chapter 2 7.3	problem number 3	✗	16.414	✓	0.551
730	chapter 2 7.3	problem number 4	✓	0.477	✓	0.491
731	chapter 2 7.3	problem number 5	✗	7.761	✓	2.298
732	chapter 2 7.3	problem number 6	✓	2.485	✓	1.322
733	chapter 2 7.3	problem number 7	✗	43.419	✓	23.664
734	chapter 2 7.3	problem number 8	✓	0.31	✓	0.343
735	chapter 2 7.3	problem number 9	✗	40.246	✗	17.179
736	chapter 2 7.3	problem number 10	✗	43.105	✗ (Timed out)	600.
737	chapter 2 7.3	problem number 11	✓	1.069	✓	0.289
738	chapter 2 7.3	problem number 12	✓	0.923	✓	2.878
739	chapter 2 7.4	problem number 1	✓	0.696	✓	0.231
740	chapter 2 7.4	problem number 2	✓	7.007	✓	0.145
741	chapter 2 7.4	problem number 3	✗	21.042	✓	0.333
742	chapter 2 7.4	problem number 4	✓	0.53	✓	0.33
743	chapter 2 7.4	problem number 5	✗	7.845	✓	3.412
744	chapter 2 7.4	problem number 6	✓	2.51	✓	1.249
745	chapter 2 7.4	problem number 7	✗	43.597	✓	27.147
746	chapter 2 7.4	problem number 8	✗	35.956	✗	13.193
747	chapter 2 7.4	problem number 9	✗	40.981	✗	35.857
748	chapter 2 7.4	problem number 10	✗	43.309	✗ (Timed out)	600.
749	chapter 2 7.4	problem number 11	✓	1.151	✓	0.413
750	chapter 2 7.4	problem number 12	✓	1.212	✓	5.61
751	chapter 2 8.1	problem number 1	✓	0.089	✓	0.056
752	chapter 2 8.1	problem number 2	✓	0.343	✓	0.24
753	chapter 2 8.1	problem number 3	✗	0.635	✓	0.134
754	chapter 2 8.1	problem number 4	✓	0.288	✓	0.124
755	chapter 2 8.1	problem number 5	✗	25.578	✓	0.903
756	chapter 2 8.1	problem number 6	✗	0.951	✓	0.119
757	chapter 2 8.1	problem number 7	✗	24.449	✗	5.854
758	chapter 2 8.1	problem number 8	✗	24.683	✗	3.994
759	chapter 2 8.1	problem number 9	✗	0.98	✓	0.113
760	chapter 2 8.1	problem number 10	✗	29.935	✗	9.262
761	chapter 2 8.1	problem number 11	✗	28.621	✗	14.006
762	chapter 2 8.1	problem number 12	✓	0.32	✓	0.214
763	chapter 2 8.1	problem number 13	✓	2.757	✓	0.135
764	chapter 2 8.2	problem number 1	✓	1.27	✓	0.623
765	chapter 2 8.2	problem number 2	✗	22.195	✗	3.182
766	chapter 2 8.2	problem number 3	✗	22.231	✗	3.627
767	chapter 2 8.2	problem number 4	✓	0.356	✓	0.173
768	chapter 2 8.2	problem number 5	✗	24.253	✗	3.854
769	chapter 2 8.2	problem number 6	✗	1.4	✓	0.084
770	chapter 2 8.2	problem number 7	✗	27.397	✗	9.035
771	chapter 2 8.2	problem number 8	✗	28.142	✗	7.953
772	chapter 2 8.2	problem number 9	✗	24.18	✗	5.314
773	chapter 2 8.2	problem number 10	✓	0.394	✓	0.216
774	chapter 2 8.2	problem number 11	✗	0.398	✓	0.381
775	chapter 2 8.3	problem number 1	✗	27.712	✗	17.849
776	chapter 2 8.3	problem number 2	✗	30.952	✗	119.76
777	chapter 2 8.3	problem number 3	✗	30.707	✗	11.339
778	chapter 2 8.4	problem number 1	✗	22.104	✓	1.119
779	chapter 2 8.4	problem number 2	✗	21.326	✗	4.121
780	chapter 2 8.4	problem number 3	✗	21.383	✗	1.458
781	chapter 2 8.4	problem number 4	✓	0.216	✓	0.088
782	chapter 2 8.5	problem number 1	✗	27.023	✓	4.966
783	chapter 2 8.5	problem number 2	✗	27.469	✗	15.424
784	chapter 2 8.5	problem number 3	✗	27.157	✗	13.668
785	chapter 2 8.5	problem number 4	✗	30.787	✗	33.838
786	chapter 2 8.5	problem number 5	✗	31.085	✗	16.007
787	chapter 2 8.6	problem number 1	✗	20.868	✗	3.438
788	chapter 2 8.6	problem number 2	✗	21.009	✓	0.641
789	chapter 2 8.6	problem number 3	✓	0.157	✓	0.047
790	chapter 2 8.6	problem number 4	✗	0.489	✓	0.514
791	chapter 2 8.6	problem number 5	✗	21.358	✗	2.316
792	chapter 2 8.6	problem number 6	✗	0.336	✓	0.099
793	chapter 2 8.6	problem number 7	✗	0.389	✓	0.1
794	chapter 2 8.6	problem number 8	✓	0.295	✓	0.13
795	chapter 2 8.6	problem number 9	✗	0.785	✓	0.268
796	chapter 2 8.6	problem number 10	✗	2.323	✓	0.423
797	chapter 2 8.6	problem number 11	✓	0.396	✓	0.181
798	chapter 2 8.6	problem number 12	✗	22.985	✓	1.155
799	chapter 2 9.1	problem number 1	✓	0.087	✓	0.031
800	chapter 2 9.1	problem number 2	✗	0.2	✓	0.276
801	chapter 2 9.1	problem number 3	✗	0.513	✓	0.869
802	chapter 2 9.1	problem number 4	✗	0.96	✗	2.84
803	chapter 2 9.1	problem number 5	✗	3.074	✗	3.121
804	chapter 2 9.2	problem number 1	✗	0.254	✓	0.066
805	chapter 2 9.2	problem number 2	✗	0.08	✓	0.143
806	chapter 2 9.2	problem number 3	✗	0.449	✓	0.272
807	chapter 2 9.2	problem number 4	✗	0.322	✓	0.187
808	chapter 2 9.2	problem number 5	✗	0.666	✗	4.148
809	chapter 2 9.2	problem number 6	✗	0.409	✓	0.224
810	chapter 2 9.2	problem number 7	✗	0.585	✓	0.183
811	chapter 2 9.2	problem number 8	✗	0.291	✓	0.19
812	chapter 2 9.2	problem number 9	✗	0.349	✓	0.193
813	chapter 2 9.2	problem number 10	✗	0.755	✓	0.73
814	chapter 2 9.2	problem number 11	✗	0.404	✓	0.434
815	chapter 2 9.2	problem number 12	✗	1.715	✗	3.088
816	chapter 2 9.2	problem number 13	✗	2.636	✗	2.704
817	chapter 2 9.2	problem number 14	✗	1.018	✓	0.777
818	chapter 2 9.2	problem number 15	✗	0.406	✓	0.434
819	chapter 2 9.2	problem number 16	✗	0.578	✓	0.244
820	chapter 2 9.3	problem number 1	✗	5.761	✓	5.593
821	chapter 2 9.3	problem number 2	✗	5.171	✗	5.184
822	chapter 2 9.3	problem number 3	✗	13.389	✗	6.655
823	chapter 2 9.3	problem number 4	✗	2.527	✗	7.578
824	chapter 2 9.3	problem number 5	✗	2.544	✗	6.623
825	chapter 2 9.3	problem number 6	✗	23.376	✗	8.742
826	chapter 2 9.3	problem number 7	✗	23.929	✗	6.257
827	chapter 2 9.3	problem number 8	✗	13.317	✗	11.588
828	chapter 2 9.3	problem number 9	✓	0.104	✓	0.059
829	chapter 2 9.3	problem number 11	✗	0.382	✓	0.419
830	chapter 2 9.3	problem number 12	✗	3.96	✓	6.998
831	chapter 2 9.3	problem number 13	✗	11.486	✗	5.76
832	chapter 2 9.3	problem number 14	✗	11.034	✗	3.727
833	chapter 2 9.3	problem number 15	✗	18.354	✗	5.238
834	chapter 2 9.3	problem number 16	✗	18.094	✗	5.404
835	chapter 2 9.3	problem number 17	✗	4.589	✗	3.376
836	chapter 2 9.3	problem number 18	✗	28.101	✗	6.614
837	chapter 2 9.3	problem number 19	✗	27.779	✗	4.787
838	chapter 2 9.3	problem number 20	✗	34.12	✗	168.183
839	chapter 2 9.3	problem number 21	✗	58.245	✗	54.284
840	chapter 2 9.3	problem number 22	✗	12.827	✗	16.172
841	chapter 2 9.3	problem number 23	✗	7.809	✗	91.033
842	chapter 3 Examples	Example 1	✓	0.024	✓	0.055
843	chapter 3 Examples	Example 2	✓	0.046	✓	0.06
844	chapter 3 Examples	Example 3	✓	0.006	✓	0.014
845	chapter 3 2.1	Problem 1	✓	0.009	✓	0.011
846	chapter 3 2.1	Problem 2	✓	0.025	✓	0.025
847	chapter 3 2.1	Problem 3	✓	0.027	✓	0.019
848	chapter 3 2.1	Problem 4	✓	0.007	✓	0.008
849	chapter 3 2.1	Problem 5	✓	0.316	✓	0.09
850	chapter 3 2.1	Problem 6	✓	0.187	✓	0.105
851	chapter 3 2.1	Problem 7	✓	0.044	✓	0.043
852	chapter 3 2.1	Problem 8	✓	0.067	✓	0.036
853	chapter 3 2.2	Problem 1	✓	0.095	✓	0.026
854	chapter 3 2.2	Problem 2	✓	0.22	✓	0.04
855	chapter 3 2.2	Problem 3	✓	0.078	✓	0.033
856	chapter 3 2.2	Problem 4	✓	0.395	✓	0.058
857	chapter 3 2.2	Problem 5	✓	0.032	✓	0.038
858	chapter 3 2.2	Problem 6	✓	0.254	✓ Contains unresolved integral with RootOf	0.161
859	chapter 3 2.2	Problem 7	✓	0.209	✓	0.028
860	chapter 3 2.3	Problem 1	✓	0.026	✓	0.062
861	chapter 3 2.3	Problem 2	✓	0.164	✓	0.056
862	chapter 3 2.3	Problem 3	✓	0.151	✓	0.032
863	chapter 3 2.3	Problem 4	✓	0.6	✓	0.056
864	chapter 3 2.3	Problem 5	✓	0.024	✓	0.015
865	chapter 3 2.3	Problem 6	✓	0.126	✓	0.074
866	chapter 3 2.4	Problem 1	✓	0.133	✓	0.027
867	chapter 3 2.4	Problem 2	✓	0.056	✓	0.027
868	chapter 3 2.4	Problem 3	✓	0.031	✓	0.026
869	chapter 3 2.4	Problem 4	✓	0.045	✓	0.028
870	chapter 3 2.4	Problem 5	✓	0.069	✓ Result has unresolved integral	0.089
871	chapter 3 2.4	Problem 6	✓	0.117	✓ Result has unresolved integral	0.056
872	chapter 3 2.4	Problem 7	✓	0.815	✓ Result has unresolved integral	1.253
873	chapter 3 2.4	Problem 8	✓	2.198	✓ Result has unresolved integral	0.485
874	chapter 3 2.4	Problem 9	✓	3.553	✓	0.416
875	chapter 3 2.4	Problem 10	✗	2.222	✓	10.174
876	chapter 3 2.4	Problem 11	✓	0.505	✓	1.225
877	chapter 3 3.1	Problem 1	✓	0.078	✓	0.047
878	chapter 3 3.1	Problem 2	✓	0.063	✓	0.037
879	chapter 3 3.1	Problem 3	✓	0.272	✓	0.081
880	chapter 3 3.1	Problem 4	✓	0.292	✓	0.091
881	chapter 3 3.1	Problem 5	✓	0.589	✓	0.198
882	chapter 3 3.1	Problem 6	✓	0.732	✓	0.032
883	chapter 3 3.1	Problem 7	✓	0.819	✓	0.172
884	chapter 3 3.1	Problem 8	✗	3.636	✓	4.791
885	chapter 3 3.1	Problem 9	✗	1.433	✓	2.537
886	chapter 3 3.1	Problem 10	✓	1.86	✓	0.472
887	chapter 3 3.1	Problem 11	✓	0.571	✓	0.739
888	chapter 3 3.2	Problem 1	✓	0.195	✓	0.042
889	chapter 3 3.2	Problem 2	✓	0.034	✓	0.074
890	chapter 3 3.2	Problem 3	✓	0.095	✓	0.058
891	chapter 3 3.2	Problem 4	✓	0.6	✓	0.286
892	chapter 3 3.2	Problem 5	✓	0.911	✓	1.434
893	chapter 3 3.2	Problem 6	✓	0.051	✓	0.033
894	chapter 3 3.2	Problem 7	✓	0.053	✓	0.029
895	chapter 3 3.2	Problem 8	✓	0.436	✓	0.226
896	chapter 3 3.2	Problem 9	✓	0.431	✓	0.643
897	chapter 3 3.2	Problem 10	✓	0.402	✓	0.151
898	chapter 3 3.2	Problem 11	✓	2.839	✓	0.311
899	chapter 3 4.1	Problem 1	✓	0.119	✓	0.026
900	chapter 3 4.1	Problem 2	✓	0.118	✓	0.029
901	chapter 3 4.1	Problem 3	✗ (Timed out)	600.	✓	0.039
902	chapter 3 4.1	Problem 4	✗ (Timed out)	600.	✓	7.128
903	chapter 3 4.1	Problem 5	✓	16.09	✓	13.044
904	chapter 3 4.2	Problem 1	✓	0.117	✓	0.049
905	chapter 3 4.2	Problem 2	✓	0.113	✓	0.025
906	chapter 3 4.2	Problem 3	✓	0.385	✓	0.024
907	chapter 3 4.2	Problem 4	✗ (Timed out)	600.	✓	0.803
908	chapter 3 4.2	Problem 5	✓	153.043	✓	1.783
909	chapter 3 4.3	Problem 1	✓	0.179	✓	0.032
910	chapter 3 4.3	Problem 2	✓	0.097	✓	0.016
911	chapter 3 4.3	Problem 3	✓	0.077	✓	0.018
912	chapter 3 4.3	Problem 4	✓	538.891	✓	1.844
913	chapter 3 4.3	Problem 5	✓	208.836	✓	1.301
914	chapter 3 4.4	Problem 1	✓	0.271	✓	0.045
915	chapter 3 4.4	Problem 2	✓	0.191	✓	0.017
916	chapter 3 4.4	Problem 3	✓	0.093	✓	0.016
917	chapter 3 4.4	Problem 4	✗ (Timed out)	600.	✓	1.729
918	chapter 3 4.4	Problem 5	✓	253.475	✓	1.303
919	chapter 3 4.5	Problem 1	✓	0.126	✓	0.021
920	chapter 3 4.5	Problem 2	✓	0.275	✓	0.073
921	chapter 3 4.5	Problem 3	✓	0.11	✓	0.046
922	chapter 3 4.5	Problem 4	✓	0.192	✓	0.094
923	chapter 3 4.5	Problem 5	✓	0.177	✓	0.039
924	chapter 3 5.1	Problem 1	✓	0.099	✓	0.019
925	chapter 3 5.1	Problem 2	✓	0.029	✓	0.021
926	chapter 3 5.1	Problem 3	✓	0.293	✓	0.484
927	chapter 3 5.1	Problem 4	✓	1.482	✓	0.156
928	chapter 3 5.1	Problem 5	✓	1.004	✓	0.21
929	chapter 3 5.1	Problem 6	✗	0.326	✓	1.42
930	chapter 3 5.2	Problem 1	✓	0.121	✓	0.023
931	chapter 3 5.2	Problem 2	✓	0.32	✓ Result has unresolved integrals	0.683
932	chapter 3 5.2	Problem 3	✓	0.149	✓	0.312
933	chapter 3 5.3	Problem 4	✓	0.08	✓ Result has unresolved integrals	0.114
934	chapter 3 5.3	Problem 5	✓	0.09	✓	0.141
935	chapter 3 5.3	Problem 6	✓	1.75	✓	1.15
936	chapter 3 6.1	Problem 1	✓	0.129	✓	0.024
937	chapter 3 6.1	Problem 2	✓	0.12	✓	0.017
938	chapter 3 6.1	Problem 3	✓	0.087	✓	0.018
939	chapter 3 6.1	Problem 4	✓	240.979	✓	3.549
940	chapter 3 6.1	Problem 5	✓	92.342	✓ Result has unresolved integrals	4.333
941	chapter 3 6.2	Problem 1	✓	0.131	✓	0.041
942	chapter 3 6.2	Problem 2	✓	0.121	✓	0.027
943	chapter 3 6.2	Problem 3	✓	0.085	✓	0.023
944	chapter 3 6.2	Problem 4	✓	243.081	✓	1.94
945	chapter 3 6.2	Problem 5	✓	53.544	✓	2.722
946	chapter 3 6.3	Problem 1	✓	0.201	✓	0.032
947	chapter 3 6.3	Problem 2	✓	0.107	✓	0.015
948	chapter 3 6.3	Problem 3	✓	0.085	✓	0.015
949	chapter 3 6.3	Problem 4	✓	73.994	✓	2.349
950	chapter 3 6.3	Problem 5	✓	30.294	✓	3.259
951	chapter 3 6.4	Problem 1	✓	0.295	✓	0.048
952	chapter 3 6.4	Problem 2	✓	0.179	✓	0.016
953	chapter 3 6.4	Problem 3	✓	0.102	✓	0.015
954	chapter 3 6.4	Problem 4	✓	86.433	✓	2.27
955	chapter 3 6.4	Problem 5	✓	29.022	✓	3.24
956	chapter 3 6.5	Problem 1	✓	0.152	✓	0.034
957	chapter 3 6.5	Problem 2	✓	0.188	✓	0.048
958	chapter 3 6.5	Problem 3	✓	0.417	✓	0.033
959	chapter 3 6.5	Problem 4	✓	0.244	✓	0.17
960	chapter 3 6.5	Problem 5	✓	0.309	✓	0.362
961	chapter 3 6.5	Problem 6	✓	0.164	✓	0.128
962	chapter 3 7.1	Problem 1	✓	1.178	✓	0.064
963	chapter 3 7.1	Problem 2	✓	0.455	✓	0.049
964	chapter 3 7.1	Problem 3	✓	0.148	✓	0.019
965	chapter 3 7.1	Problem 4	✓	8.92	✓	0.93
966	chapter 3 7.1	Problem 5	✓	1.269	✓	0.885
967	chapter 3 7.2	Problem 1	✓	1.238	✓	0.03
968	chapter 3 7.2	Problem 2	✓	0.764	✓	0.017
969	chapter 3 7.2	Problem 3	✓	0.205	✓	0.017
970	chapter 3 7.2	Problem 4	✓	13.428	✓	0.84
971	chapter 3 7.2	Problem 5	✓	1.478	✓	0.598
972	chapter 3 7.3	Problem 1	✓	0.083	✓	0.194
973	chapter 3 7.3	Problem 2	✓	0.106	✓	0.083
974	chapter 3 7.3	Problem 3	✓	0.064	✓	0.04
975	chapter 3 7.3	Problem 4	✓	0.548	✓	3.179
976	chapter 3 7.3	Problem 5	✓	0.681	✓	1.381
977	chapter 3 7.4	Problem 1	✓	0.058	✓	0.061
978	chapter 3 7.4	Problem 2	✓	0.122	✓	0.023
979	chapter 3 7.4	Problem 3	✓	0.07	✓	0.037
980	chapter 3 7.4	Problem 4	✓	0.609	✓	2.039
981	chapter 3 7.4	Problem 5	✓	0.744	✓	0.657
982	chapter 3 8.1	Problem 1	✓	0.01	✓	0.013
983	chapter 3 8.1	Problem 2	✓	0.041	✓	0.017
984	chapter 3 8.1	Problem 3	✓	0.032	✓	0.027
985	chapter 3 8.1	Problem 4	✓	0.03	✓	0.058
986	chapter 3 8.1	Problem 5	✓	0.034	✓	0.027
987	chapter 3 8.1	Problem 6	✓	0.06	✓	0.021
988	chapter 3 8.1	Problem 7	✓	0.082	✓	0.061
989	chapter 3 8.1	Problem 8	✓	0.197	✓	0.04
990	chapter 3 8.1	Problem 9	✓	0.185	✓	0.02
991	chapter 3 8.1	Problem 10	✓	0.14	✓	0.014
992	chapter 3 8.1	Problem 11	✓	0.213	✓	0.231
993	chapter 3 8.1	Problem 12	✓	0.554	✓	0.147
994	chapter 3 8.1	Problem 13	✗	0.433	✓	0.694
995	chapter 3 8.1	Problem 14	✓	0.241	✓	0.19
996	chapter 3 8.1	Problem 15	✓	0.731	✓	0.343
997	chapter 3 8.1	Problem 16	✓	0.084	✓	0.019
998	chapter 3 8.2	Problem 1	✓	0.018	✓	0.025
999	chapter 3 8.2	Problem 2	✓	0.019	✓	0.015
1000	chapter 3 8.2	Problem 3	✓	0.06	✓	0.039
1001	chapter 3 8.2	Problem 4	✗	0.092	✓	0.058
1002	chapter 3 8.2	Problem 5	✓	0.57	✓	0.19
1003	chapter 3 8.2	Problem 6	✓	0.061	✓	0.018
1004	chapter 3 8.2	Problem 7	✗	0.187	✓	0.069
1005	chapter 3 8.3	Problem 1	✓	0.037	✓	0.021
1006	chapter 3 8.3	Problem 2	✓	0.018	✓	0.011
1007	chapter 3 8.3	Problem 3	✓	0.037	✓	0.02
1008	chapter 3 8.3	Problem 4	✓	0.061	✓	0.022
1009	chapter 3 8.3	Problem 5	✓	0.066	✓	0.191
1010	chapter 3 8.3	Problem 6	✓	0.094	✓	0.082
1011	chapter 3 8.3	Problem 7	✓	0.048	✓	0.023
1012	chapter 3 8.3	Problem 8	✓	0.216	✓	0.363
1013	chapter 3 8.4	Problem 1	✓	0.01	✓	0.016
1014	chapter 3 8.4	Problem 2	✓	0.054	✓	0.02
1015	chapter 3 8.4	Problem 3	✓	0.078	✓	0.042
1016	chapter 3 8.4	Problem 4	✓	0.193	✓	0.123
1017	chapter 3 8.4	Problem 5	✓	0.523	✓	0.269
1018	chapter 3 8.4	Problem 6	✗	0.478	✓	0.497
1019	chapter 3 8.4	Problem 7	✗	0.159	✓ Contains RootOf	0.033
1020	chapter 4 1.1	Example 1	✓	0.033	✓	0.025
1021	chapter 4 1.1	Example 2	✓	0.102	✓	0.022
1022	chapter 4 1.1	Example 3	✓	0.007	✓	0.012
1023	chapter 4 2.1	Problem 1	✓	0.007	✓	0.013
1024	chapter 4 2.1	Problem 2	✓	0.03	✓	0.016
1025	chapter 4 2.1	Problem 3	✓	0.018	✓	0.011
1026	chapter 4 2.1	Problem 4	✓	0.016	✓	0.019
1027	chapter 4 2.1	Problem 5	✓	0.018	✓	0.009
1028	chapter 4 2.1	Problem 6	✓	0.027	✓	0.013
1029	chapter 4 2.1	Problem 7	✗	0.221	✗ (Timed out)	600.
1030	chapter 4 2.2	Problem 1	✓	0.042	✓	0.053
1031	chapter 4 2.2	Problem 2	✓	0.03	✓	0.03
1032	chapter 4 2.2	Problem 3	✓	0.146	✓	0.044
1033	chapter 4 2.2	Problem 4	✓	0.164	✓	0.048
1034	chapter 4 2.2	Problem 5	✓	0.158	✓	0.051
1035	chapter 4 2.2	Problem 6	✓	0.094	✓	0.052
1036	chapter 4 2.2	Problem 7	✗	15.1	✓	1.147
1037	chapter 4 2.2	Problem 8	✗	1.928	✓	0.823
1038	chapter 4 2.3	Problem 1	✓	0.023	✓	0.038
1039	chapter 4 2.3	Problem 2	✓	0.03	✓	0.038
1040	chapter 4 2.3	Problem 3	✓	0.023	✓	0.022
1041	chapter 4 2.3	Problem 4	✓	0.149	✓	0.08
1042	chapter 4 2.3	Problem 5	✓	0.056	✓	0.058
1043	chapter 4 2.3	Problem 6	✓	0.135	✓	0.058
1044	chapter 4 2.4	Problem 1	✓	0.183	✓	0.029
1045	chapter 4 2.4	Problem 2 case \(n\neq -1, n\neq -2\)	✓	0.049	✓	0.071
1046	chapter 4 2.4	Problem 2 case \(n = -1\)	✓	0.058	✓	0.029
1047	chapter 4 2.4	Problem 2 case \(n = -2\)	✓	0.098	✓	0.032
1048	chapter 4 2.4	Problem 3	✓	0.032	✓	0.022
1049	chapter 4 2.4	Problem 4	✓	0.046	✓	0.024
1050	chapter 4 2.4	Problem 5	✓	0.071	✓	0.021
1051	chapter 4 2.4	Problem 6	✓	0.121	✓	0.029
1052	chapter 4 2.4	Problem 7	✓	0.814	✓	1.683
1053	chapter 4 2.4	Problem 8	✓	1.868	✓	0.756
1054	chapter 4 2.4	Problem 9	✓	3.649	✓	4.667
1055	chapter 4 2.4	Problem 10	✓	1.421	✓	12.338
1056	chapter 4 2.4	Problem 11	✓	0.509	✓	1.318
1057	chapter 4 2.4	Problem 12	✗	0.506	✓	0.936
1058	chapter 4 2.4	Problem 13	✗	0.512	✓	0.467
1059	chapter 4 3.1	Problem 1	✓	0.159	✓	0.03
1060	chapter 4 3.1	Problem 2	✓	0.124	✓	0.032
1061	chapter 4 3.1	Problem 3	✓	0.281	✓	0.063
1062	chapter 4 3.1	Problem 4	✓	0.377	✓	0.079
1063	chapter 4 3.1	Problem 5	✓	0.588	✓	0.361
1064	chapter 4 3.1	Problem 6	✓	4.021	✓	0.14
1065	chapter 4 3.1	Problem 7	✗	2.408	✓	2.438
1066	chapter 4 3.1	Problem 8	✗	1.317	✓	1.672
1067	chapter 4 3.1	Problem 9	✓	1.984	✓	1.121
1068	chapter 4 3.1	Problem 10	✓	0.398	✓	0.024
1069	chapter 4 3.2	Problem 1	✓	0.572	✓	0.037
1070	chapter 4 3.2	Problem 2	✓	0.078	✓	0.024
1071	chapter 4 3.2	Problem 3	✓	0.052	✓	0.024
1072	chapter 4 3.2	Problem 4	✓	0.381	✓	0.14
1073	chapter 4 3.2	Problem 5	✓	0.444	✓	0.688
1074	chapter 4 3.2	Problem 6	✓	0.406	✓	0.149
1075	chapter 4 3.2	Problem 7	✓	2.94	✓	0.224
1076	chapter 4 4.1	Problem 1	✓	0.483	✓	0.031
1077	chapter 4 4.1	Problem 2	✓	0.518	✓	0.025
1078	chapter 4 4.1	Problem 3	✓	0.364	✓	0.021
1079	chapter 4 4.1	Problem 4	✗ (Timed out)	600.	✓	1.463
1080	chapter 4 4.1	Problem 5	✓	281.809	✓	0.964
1081	chapter 4 4.2	Problem 1	✓	0.546	✓	0.05
1082	chapter 4 4.2	Problem 2	✓	0.509	✓	0.036
1083	chapter 4 4.2	Problem 3	✓	0.381	✓	0.035
1084	chapter 4 4.2	Problem 4	✗ (Timed out)	600.	✓	0.512
1085	chapter 4 4.2	Problem 5	✓	151.99	✓	0.727
1086	chapter 4 4.3	Problem 1	✓	0.195	✓	0.096
1087	chapter 4 4.3	Problem 2	✓	0.098	✓	0.099
1088	chapter 4 4.3	Problem 3	✓	0.094	✓	0.074
1089	chapter 4 4.3	Problem 4	✓	575.866	✓	0.877
1090	chapter 4 4.3	Problem 5	✓	204.54	✓	0.903
1091	chapter 4 4.4	Problem 1	✓	0.417	✓	0.105
1092	chapter 4 4.4	Problem 2	✓	0.237	✓	0.081
1093	chapter 4 4.4	Problem 3	✓	0.125	✓	0.067
1094	chapter 4 4.4	Problem 4	✓	578.971	✓	1.006
1095	chapter 4 4.4	Problem 5	✓	225.853	✓	1.012
1096	chapter 4 4.5	Problem 1	✓	0.534	✓	0.025
1097	chapter 4 4.5	Problem 2	✓	0.401	✓	0.048
1098	chapter 4 4.5	Problem 3	✓	0.163	✓	0.126
1099	chapter 4 4.5	Problem 4	✓	0.084	✓	0.039
1100	chapter 4 4.5	Problem 5	✓	0.28	✓	0.359
1101	chapter 4 4.5	Problem 6	✓	0.823	✓	1.751
1102	chapter 4 5.1	Problem 1	✓	0.1	✓	0.688
1103	chapter 4 5.1	Problem 2	✓	0.041	✓	0.059
1104	chapter 4 5.1	Problem 3	✓	1.38	✓	0.147
1105	chapter 4 5.1	Problem 4	✓	0.783	✓	0.254
1106	chapter 4 5.1	Problem 5	✓	0.215	✓	0.268
1107	chapter 4 5.1	Problem 6	✗	0.356	✓	1.338
1108	chapter 4 5.2	Problem 1	✓	0.236	✓	1.434
1109	chapter 4 5.2	Problem 2	✓	0.625	✓	0.385
1110	chapter 4 5.2	Problem 3	✓	0.155	✓	0.023
1111	chapter 4 5.2	Problem 4	✓	0.08	✓	0.043
1112	chapter 4 5.2	Problem 5	✓	0.076	✓	0.196
1113	chapter 4 5.2	Problem 6	✓	1.543	✓	6.035
1114	chapter 4 6.1	Problem 1	✓	0.485	✓	0.03
1115	chapter 4 6.1	Problem 2	✓	0.278	✓	0.031
1116	chapter 4 6.1	Problem 3	✓	0.307	✓	0.024
1117	chapter 4 6.1	Problem 4	✓	242.628	✓	2.787
1118	chapter 4 6.1	Problem 5	✓	87.276	✓	1.783
1119	chapter 4 6.2	Problem 1	✓	0.509	✓	0.026
1120	chapter 4 6.2	Problem 2	✓	0.522	✓	0.054
1121	chapter 4 6.2	Problem 3	✓	0.378	✓	0.018
1122	chapter 4 6.2	Problem 4	✓	240.874	✓	1.084
1123	chapter 4 6.2	Problem 5	✓	51.635	✓	1.277
1124	chapter 4 6.3	Problem 1	✓	0.105	✓	0.053
1125	chapter 4 6.3	Problem 2	✓	0.209	✓	0.067
1126	chapter 4 6.3	Problem 3	✓	0.089	✓	0.044
1127	chapter 4 6.3	Problem 4	✓	73.537	✓	1.22
1128	chapter 4 6.3	Problem 5	✓	30.743	✓	1.144
1129	chapter 4 6.4	Problem 1	✓	0.256	✓	0.047
1130	chapter 4 6.4	Problem 2	✓	0.443	✓	0.084
1131	chapter 4 6.4	Problem 3	✓	0.135	✓	0.04
1132	chapter 4 6.4	Problem 4	✓	83.174	✓	2.312
1133	chapter 4 6.4	Problem 5	✓	28.145	✓	1.356
1134	chapter 4 6.5	Problem 1	✓	0.217	✓	0.044
1135	chapter 4 6.5	Problem 2	✓	0.081	✓	0.077
1136	chapter 4 6.5	Problem 3	✓	0.21	✓	0.163
1137	chapter 4 6.5	Problem 4	✓	0.217	✓	0.536
1138	chapter 4 6.5	Problem 5	✓	0.797	✓	0.249
1139	chapter 4 6.5	Problem 6	✓	0.201	✓	0.316
1140	chapter 4 7.1	Problem 1	✓	1.176	✓	0.058
1141	chapter 4 7.1	Problem 2	✓	0.431	✓	0.061
1142	chapter 4 7.1	Problem 3	✓	0.492	✓	0.05
1143	chapter 4 7.1	Problem 4	✓	0.094	✓	3.616
1144	chapter 4 7.1	Problem 5	✓	1.293	✓	2.93
1145	chapter 4 7.2	Problem 1	✓	1.358	✓	0.07
1146	chapter 4 7.2	Problem 2	✓	0.704	✓	0.027
1147	chapter 4 7.2	Problem 3	✓	0.647	✓	0.034
1148	chapter 4 7.2	Problem 4	✓	0.105	✓	2.917
1149	chapter 4 7.2	Problem 5	✓	0.382	✓	2.892
1150	chapter 4 7.3	Problem 1	✓	0.174	✓	0.157
1151	chapter 4 7.3	Problem 2	✓	0.12	✓	0.127
1152	chapter 4 7.3	Problem 3	✓	0.435	✓	0.148
1153	chapter 4 7.3	Problem 4	✓	0.133	✓	1.181
1154	chapter 4 7.3	Problem 5	✓	0.409	✓	1.016
1155	chapter 4 7.4	Problem 1	✓	0.146	✓	0.053
1156	chapter 4 7.4	Problem 2	✓	0.133	✓	0.039
1157	chapter 4 7.4	Problem 3	✓	0.345	✓	0.087
1158	chapter 4 7.4	Problem 4	✓	0.138	✓	0.871
1159	chapter 4 7.4	Problem 5	✓	0.408	✓	0.94
1160	chapter 4 8.1	Problem 1	✓	0.01	✓	0.029
1161	chapter 4 8.1	Problem 2	✓	0.041	✓	0.018
1162	chapter 4 8.1	Problem 3	✓	0.032	✓	0.019
1163	chapter 4 8.1	Problem 4	✓	0.031	✓	0.019
1164	chapter 4 8.1	Problem 5	✓	0.035	✓	0.023
1165	chapter 4 8.1	Problem 6	✓	0.058	✓	0.017
1166	chapter 4 8.1	Problem 7	✓	0.084	✓	0.045
1167	chapter 4 8.1	Problem 8	✓	0.193	✓	0.054
1168	chapter 4 8.1	Problem 9	✓	0.19	✓	0.055
1169	chapter 4 8.1	Problem 10	✓	0.142	✓	0.036
1170	chapter 4 8.1	Problem 11	✓	0.215	✓	0.114
1171	chapter 4 8.1	Problem 12	✓	0.549	✓	0.188
1172	chapter 4 8.1	Problem 13	✗	23.95	✗	4.932
1173	chapter 4 8.1	Problem 14	✓	0.247	✓	0.081
1174	chapter 4 8.1	Problem 15	✓	0.242	✓	0.051
1175	chapter 4 8.2	Problem 1	✓	0.018	✓	0.02
1176	chapter 4 8.2	Problem 2	✓	0.019	✓	0.017
1177	chapter 4 8.2	Problem 3	✓	0.058	✓	0.021
1178	chapter 4 8.2	Problem 4	✗	0.085	✓ contains RootOf	0.043
1179	chapter 4 8.2	Problem 5	✗	22.035	✗	2.174
1180	chapter 4 8.2	Problem 6	✗	0.178	✓ has RootOf	0.072
1181	chapter 4 8.2	Problem 7	✗	0.05	✓ has RootOf	0.039
1182	chapter 4 8.3	Problem 1	✓	0.034	✓	0.021
1183	chapter 4 8.3	Problem 2	✓	0.018	✓	0.017
1184	chapter 4 8.3	Problem 3	✓	0.034	✓	0.017
1185	chapter 4 8.3	Problem 4	✓	0.096	✓	0.928
1186	chapter 4 8.3	Problem 5	✓	0.09	✓	0.034
1187	chapter 4 8.3	Problem 6	✓	0.045	✓	0.025
1188	chapter 4 8.3	Problem 7	✓	0.053	✓	1.04
1189	chapter 4 8.4	Problem 1	✓	0.009	✓	0.013
1190	chapter 4 8.4	Problem 2	✓	0.051	✓	0.023
1191	chapter 4 8.4	Problem 3	✓	0.072	✓	0.022
1192	chapter 4 8.4	Problem 4	✓	0.185	✓	0.034
1193	chapter 4 8.4	Problem 5	✓	0.529	✓	0.224
1194	chapter 4 8.4	Problem 6	✗	23.902	✗	3.376
1195	chapter 4 8.4	Problem 7	✗	0.056	✓ has RootOf	0.062
1196	chapter 5 2.1	Problem 1	✓	0.018	✓	0.019
1197	chapter 5 2.1	Problem 2	✓	0.031	✓	0.015
1198	chapter 5 2.1	Problem 3	✓	0.051	✓	0.033
1199	chapter 5 2.1	Problem 4	✓	0.058	✓	0.035
1200	chapter 5 2.1	Problem 5	✓	0.378	✓	0.054
1201	chapter 5 2.1	Problem 6	✓	0.098	✓	0.031
1202	chapter 5 2.1	Problem 7	✓	5.912	✗ (Timed out)	600.
1203	chapter 5 2.1	Problem 8	✓	1.624	✓	0.491
1204	chapter 5 2.2	Problem 1	✓	0.121	✓	0.027
1205	chapter 5 2.2	Problem 2	✓	0.149	✓	0.028
1206	chapter 5 2.2	Problem 3	✓	0.023	✓	0.021
1207	chapter 5 2.2	Problem 4	✓	0.27	✓	0.038
1208	chapter 5 2.2	Problem 5	✗ (Timed out)	600.	✓	24.562
1209	chapter 5 2.2	Problem 6	✗ (Timed out)	600.	✓	3.811
1210	chapter 5 2.2	Problem 7	✗	42.122	✓	0.731
1211	chapter 5 2.2	Problem 8	✗	27.288	✓	24.03
1212	chapter 5 2.3	Problem 1	✓	0.402	✓	0.218
1213	chapter 5 2.3	Problem 2	✓	0.428	✓	0.06
1214	chapter 5 2.3	Problem 3	✓	3.345	✓	0.142
1215	chapter 5 2.3	Problem 4	✓	3.251	✓	0.002
1216	chapter 5 2.3	Problem 5	✓	0.545	✓	0.117
1217	chapter 5 2.3	Problem 6	✓	0.17	✓	0.132
1218	chapter 5 2.3	Problem 7	✓	1.32	✓ contains RootOf	0.422
1219	chapter 5 2.4	Problem 1	✓	0.544	✓	0.189
1220	chapter 5 2.4	Problem 2	✓	0.148	✓	0.109
1221	chapter 5 2.4	Problem 3	✓	0.049	✓	0.131
1222	chapter 5 2.4	Problem 4	✓	0.141	✓	0.082
1223	chapter 5 2.4	Problem 5	✓	0.63	✓	1.004
1224	chapter 5 2.4	Problem 6	✓	0.492	✓	1.019
1225	chapter 5 2.4	Problem 7	✓	0.295	✓	0.155
1226	chapter 5 2.4	Problem 8	✓	0.274	✓	0.124
1227	chapter 5 2.4	Problem 9	✓	6.684	✓	8.126
1228	chapter 5 2.4	Problem 10	✓	2.088	✓	2.791
1229	chapter 5 2.4	Problem 11	✓	4.096	✓	3.054
1230	chapter 5 2.4	Problem 12	✓	1.276	✓	0.976
1231	chapter 5 3.1	Problem 1	✓	0.371	✓	0.194
1232	chapter 5 3.1	Problem 2	✓	0.56	✓	0.252
1233	chapter 5 3.1	Problem 3	✓	1.446	✓	0.403
1234	chapter 5 3.1	Problem 4	✗	2.4	✓	1.591
1235	chapter 5 3.1	Problem 5	✗	1.468	✓	1.271
1236	chapter 5 3.1	Problem 6	✓	5.785	✓	0.597
1237	chapter 5 3.1	Problem 7	✓	0.319	✓	0.054
1238	chapter 5 3.1	Problem 8	✓	0.333	✓	0.144
1239	chapter 5 3.2	Problem 1	✓	0.176	✓	0.105
1240	chapter 5 3.2	Problem 2	✓	0.157	✓	0.049
1241	chapter 5 3.2	Problem 3	✓	0.131	✓	0.05
1242	chapter 5 3.2	Problem 4	✓	0.787	✓	0.975
1243	chapter 5 3.2	Problem 5	✓	0.398	✓	0.199
1244	chapter 5 3.2	Problem 6	✓	0.289	✓	0.109
1245	chapter 5 3.2	Problem 7	✓	3.02	✓	0.421
1246	chapter 5 3.2	Problem 8	✓	0.094	✓	0.033
1247	chapter 5 3.2	Problem 9	✓	0.605	✓	0.473
1248	chapter 5 3.2	Problem 10	✓	0.658	✓	0.202
1249	chapter 5 4.1	Problem 1	✓	9.188	✓	11.318
1250	chapter 5 4.1	Problem 2	✓	267.327	✓	0.232
1251	chapter 5 4.1	Problem 3	✓	73.281	✓	5.817
1252	chapter 5 4.1	Problem 4	✓	3.952	✓	6.87
1253	chapter 5 4.1	Problem 5	✓	0.726	✓	1.381
1254	chapter 5 4.2	Problem 1	✓	9.015	✓	9.096
1255	chapter 5 4.2	Problem 2	✓	136.984	✓	0.211
1256	chapter 5 4.2	Problem 3	✓	74.284	✓	4.123
1257	chapter 5 4.2	Problem 4	✓	0.151	✓	0.082
1258	chapter 5 4.2	Problem 5	✓	3.934	✓	5.727
1259	chapter 5 4.2	Problem 6	✓	2.066	✓	1.402
1260	chapter 5 4.3	Problem 1	✓	10.527	✓	1.108
1261	chapter 5 4.3	Problem 2	✓	82.418	✓	0.242
1262	chapter 5 4.3	Problem 3	✗ (Timed out)	600.	✓	2.259
1263	chapter 5 4.3	Problem 4	✓	5.011	✓	3.106
1264	chapter 5 4.3	Problem 5	✓	1.458	✓	1.614
1265	chapter 5 4.4	Problem 1	✓	10.298	✓	1.142
1266	chapter 5 4.4	Problem 2	✓	80.641	✓	0.246
1267	chapter 5 4.4	Problem 3	✗ (Timed out)	600.	✓	2.331
1268	chapter 5 4.4	Problem 4	✓	5.027	✓	2.056
1269	chapter 5 4.4	Problem 5	✓	1.452	✓	1.685
1270	chapter 5 4.5	Problem 1	✓	1.022	✓	11.838
1271	chapter 5 4.5	Problem 2	✓	7.489	✓	8.512
1272	chapter 5 4.5	Problem 3	✓	0.451	✓	1.711
1273	chapter 5 4.5	Problem 4	✓	15.107	✓	0.833
1274	chapter 5 4.5	Problem 5	✓	4.184	✓	7.995
1275	chapter 5 4.5	Problem 6	✓	3.921	✓	4.434
1276	chapter 5 5.1	Problem 1	✓	0.253	✓	0.648
1277	chapter 5 5.1	Problem 2	✓	0.087	✓	0.095
1278	chapter 5 5.1	Problem 3	✓	0.604	✓	1.319
1279	chapter 5 5.1	Problem 4	✗	0.14	✓	0.283
1280	chapter 5 5.1	Problem 5	✓	0.458	✓	590.
1281	chapter 5 5.1	Problem 6	✓	0.192	✓	580.
1282	chapter 5 5.2	Problem 1	✓	0.653	✓	0.41
1283	chapter 5 5.2	Problem 2	✓	0.565	✓	0.39
1284	chapter 5 5.2	Problem 3	✓	0.324	✓	0.206
1285	chapter 5 5.2	Problem 4	✓	0.611	✓	0.226
1286	chapter 5 5.2	Problem 5	✓	0.205	✓	0.427
1287	chapter 5 5.2	Problem 6	✓	1.445	✓	0.563
1288	chapter 5 5.2	Problem 7	✓	0.307	✓	15.351
1289	chapter 5 6.1	Problem 1	✓	0.588	✓	0.06
1290	chapter 5 6.1	Problem 2	✓	1.067	✓	39.069
1291	chapter 5 6.1	Problem 3	✓	3.414	✓	31.454
1292	chapter 5 6.1	Problem 4	✓	1.999	✓	0.293
1293	chapter 5 6.1	Problem 5	✓	4.365	✓	13.929
1294	chapter 5 6.1	Problem 6	✓	1.809	✓	34.265
1295	chapter 5 6.1	Problem 7	✓	0.835	✓	29.138
1296	chapter 5 6.2	Problem 1	✓	0.569	✓	0.076
1297	chapter 5 6.2	Problem 2	✓	1.338	✓	13.931
1298	chapter 5 6.2	Problem 3	✓	3.409	✓	25.575
1299	chapter 5 6.2	Problem 4	✓	1.509	✓	0.39
1300	chapter 5 6.2	Problem 5	✓	4.631	✓	0.464
1301	chapter 5 6.2	Problem 6	✓	1.8	✓	24.834
1302	chapter 5 6.3	Problem 1	✓	2.393	✓	0.233
1303	chapter 5 6.3	Problem 2	✓	5.764	✓	1.664
1304	chapter 5 6.3	Problem 3	✓	2.392	✓	1.365
1305	chapter 5 6.3	Problem 4	✓	0.926	✓	1.762
1306	chapter 5 6.3	Problem 5	✓	5.744	✓	0.24
1307	chapter 5 6.3	Problem 6	✓	1.841	✓	23.539
1308	chapter 5 6.3	Problem 7	✓	1.21	✓	11.926
1309	chapter 5 6.4	Problem 1	✓	5.518	✓	0.291
1310	chapter 5 6.4	Problem 2	✓	6.402	✓	1.45
1311	chapter 5 6.4	Problem 3	✓	2.301	✓	1.403
1312	chapter 5 6.4	Problem 4	✓	1.288	✓	20.55
1313	chapter 5 6.4	Problem 5	✓	7.149	✓	0.294
1314	chapter 5 6.4	Problem 6	✓	1.823	✓	9.826
1315	chapter 5 6.4	Problem 7	✓	1.218	✓	25.722
1316	chapter 5 6.5	Problem 1	✓	1.143	✓	33.25
1317	chapter 5 6.5	Problem 2	✓	3.027	✓	12.651
1318	chapter 5 6.5	Problem 3	✓	1.456	✓	0.475
1319	chapter 5 6.5	Problem 4	✓	1.893	✓	0.156
1320	chapter 5 6.5	Problem 5	✓	1.882	✓	1.702
1321	chapter 5 6.5	Problem 6	✓	1.729	✓	28.343
1322	chapter 5 6.5	Problem 7	✓	1.887	✓	1.788
1323	chapter 5 7.1	Problem 1	✓	1.11	✓	0.448
1324	chapter 5 7.1	Problem 2	✓	1.478	✓	0.054
1325	chapter 5 7.1	Problem 3	✓	2.364	✓	0.471
1326	chapter 5 7.1	Problem 4	✓	0.48	✓	19.264
1327	chapter 5 7.1	Problem 5	✓	0.119	✓	5.595
1328	chapter 5 7.2	Problem 1	✓	1.366	✓	0.164
1329	chapter 5 7.2	Problem 2	✓	1.493	✓	0.049
1330	chapter 5 7.2	Problem 3	✓	4.798	✓	0.195
1331	chapter 5 7.2	Problem 4	✓	0.463	✓	3.644
1332	chapter 5 7.2	Problem 5	✓	0.131	✓	5.156
1333	chapter 5 7.3	Problem 1	✓	2.42	✓	0.905
1334	chapter 5 7.3	Problem 2	✓	1.782	✓	260.
1335	chapter 5 7.3	Problem 3	✓	2.437	✓	9.016
1336	chapter 5 7.3	Problem 4	✓	0.431	✓	2.074
1337	chapter 5 7.3	Problem 5	✓	0.162	✓	0.908
1338	chapter 5 7.4	Problem 1	✓	2.588	✓	1.773
1339	chapter 5 7.4	Problem 2	✓	1.769	✓	618.426
1340	chapter 5 7.4	Problem 3	✓	3.26	✓	8.326
1341	chapter 5 7.4	Problem 4	✓	0.477	✓	1.051
1342	chapter 5 7.4	Problem 5	✓	0.166	✓	0.643
1343	chapter 5 8.1	Problem 1	✓	0.039	✓	0.026
1344	chapter 5 8.1	Problem 2	✓	0.085	✓	0.042
1345	chapter 5 8.1	Problem 3	✓	0.1	✓	0.037
1346	chapter 5 8.1	Problem 4	✓	0.08	✓	0.031
1347	chapter 5 8.1	Problem 5	✓	0.153	✓	0.049
1348	chapter 5 8.1	Problem 6	✓	0.059	✓	0.028
1349	chapter 5 8.1	Problem 7	✓	0.229	✓	0.063
1350	chapter 5 8.1	Problem 8	✓	0.213	✓	0.143
1351	chapter 5 8.1	Problem 9	✓	0.616	✓	0.354
1352	chapter 5 8.1	Problem 10	✗	0.487	✓	0.53
1353	chapter 5 8.1	Problem 11	✓	0.268	✓	0.309
1354	chapter 5 8.1	Problem 12	✓	0.335	✓	1.84
1355	chapter 5 8.2	Problem 1	✓	0.044	✓	0.027
1356	chapter 5 8.2	Problem 2	✓	0.179	✓	0.027
1357	chapter 5 8.2	Problem 3	✓	0.044	✓	0.022
1358	chapter 5 8.2	Problem 4	✓	0.104	✓	0.059
1359	chapter 5 8.2	Problem 5	✓	0.071	✓	0.027
1360	chapter 5 8.2	Problem 6	✗	0.087	✓	0.079
1361	chapter 5 8.3	Problem 1	✓	0.043	✓	0.025
1362	chapter 5 8.3	Problem 2	✓	0.101	✓	0.047
1363	chapter 5 8.3	Problem 3	✓	0.062	✓	0.087
1364	chapter 5 8.3	Problem 4	✓	0.217	✓	0.304
1365	chapter 5 8.3	Problem 5	✗ (Timed out)	600.	✓	0.458
1366	chapter 5 8.3	Problem 6	✗	24.019	✗	3.511
1367	chapter 6 2.1	Problem 1	✓	0.009	✓	0.015	Yes
1368	chapter 6 2.1	Problem 2	✓	0.01	✓	0.017	Yes
1369	chapter 6 2.1	Problem 3	✓	0.054	✓	0.021	Yes
1370	chapter 6 2.1	Problem 4	✓	0.123	✓	0.08	Yes
1371	chapter 6 2.1	Problem 5	✓	0.033	✓	0.02
1372	chapter 6 2.1	Problem 6	✓	0.123	✓	0.059
1373	chapter 6 2.1	Problem 7	✓	0.077	✓	0.06
1374	chapter 6 2.1	Problem 8	✗	0.031	✓	0.025
1375	chapter 6 2.1	Problem 9	✗	0.025	✓	0.302
1376	chapter 6 2.1	Problem 10	✓	0.192	✓	0.051
1377	chapter 6 2.1	Problem 11	✗	6.979	✗	2.361
1378	chapter 6 2.1	Problem 12	✗	3.292	✗	0.149
1379	chapter 6 2.1	Problem 13	✓	0.041	✓	0.018
1380	chapter 6 2.1	Problem 14	✗ (Timed out)	600.	✗	1.059
1381	chapter 6 2.1	Problem 15	✗ (Timed out)	600.	✓	2.712
1382	chapter 6 2.1	Problem 16	✗ (Timed out)	600.	✓	2.106
1383	chapter 6 2.1	Problem 17	✗ (Timed out)	600.	✗	1.758
1384	chapter 6 2.1	Problem 18	✗ (Timed out)	600.	✗	1.62
1385	chapter 6 2.1	Problem 19	✗	2.034	✗	0.477
1386	chapter 6 2.1	Problem 20	✗	232.551	✗	0.54
1387	chapter 6 2.1	Problem 21	✗	0.093	✗	2.114
1388	chapter 6 2.2	Problem 1	✓	0.3	✓	0.173
1389	chapter 6 2.2	Problem 2	✓	0.193	✓	0.069
1390	chapter 6 2.2	Problem 3	✗ (Timed out)	600.	✓	1.013
1391	chapter 6 2.2	Problem 4	✓	0.257	✓	0.128
1392	chapter 6 2.2	Problem 5	✓	0.043	✓	0.083
1393	chapter 6 2.2	Problem 6	✓	0.04	✓	0.017
1394	chapter 6 2.2	Problem 7	✓	0.028	✓	0.022
1395	chapter 6 2.2	Problem 8	✓	0.039	✓	0.018
1396	chapter 6 2.2	Problem 9	✓	0.225	✓	0.028
1397	chapter 6 2.2	Problem 10	✓	0.036	✓	0.017
1398	chapter 6 2.2	Problem 11	✓	0.156	✓	0.043
1399	chapter 6 2.2	Problem 12	✓	0.012	✓	0.083
1400	chapter 6 2.2	Problem 13	✓	0.034	✓	0.018
1401	chapter 6 2.2	Problem 14	✓	0.136	✓	0.045
1402	chapter 6 2.2	Problem 15	✓	0.044	✓	0.018
1403	chapter 6 2.2	Problem 16	✓	0.036	✓	0.041
1404	chapter 6 2.2	Problem 17	✓	0.041	✓	0.051
1405	chapter 6 2.2	Problem 18	✓	0.041	✓	0.042
1406	chapter 6 2.2	Problem 19	✓	0.062	✓	0.088
1407	chapter 6 2.2	Problem 20	✓	0.042	✓	0.038
1408	chapter 6 2.2	Problem 21	✓	0.047	✓	0.054
1409	chapter 6 2.2	Problem 22	✓	0.047	✗	0.248
1410	chapter 6 2.2	Problem 23	✗	9.231	✓	0.953
1411	chapter 6 2.2	Problem 24	✓	0.083	✓	1.005
1412	chapter 6 2.2	Problem 25	✓	0.594	✓	0.704
1413	chapter 6 2.2	Problem 26	✗ (Timed out)	600.	✗	0.334
1414	chapter 6 2.2	Problem 27	✗	0.769	✓	1.017
1415	chapter 6 2.2	Problem 28	✓	1.628	✓	0.14
1416	chapter 6 2.2	Problem 29	✗	0.423	✗	1.35
1417	chapter 6 2.3	Problem 1	✗ (Timed out)	600.	✗	0.334
1418	chapter 6 2.3	Problem 2	✓	0.082	✓	0.031
1419	chapter 6 2.3	Problem 3	✓	0.03	✓	0.069
1420	chapter 6 2.3	Problem 4	✗	0.024	✓	0.715
1421	chapter 6 2.3	Problem 5	✗	56.178	✗	0.316
1422	chapter 6 2.3	Problem 6	✗	0.548	✓	1.065
1423	chapter 6 2.3	Problem 7	✗ (Timed out)	600.	✓	1.718
1424	chapter 6 2.3	Problem 8	✓	0.258	✗	0.427
1425	chapter 6 2.3	Problem 9	✗	0.025	✓	0.803
1426	chapter 6 2.3	Problem 10	✓	0.04	✓	0.033
1427	chapter 6 2.3	Problem 11	✓	0.319	✓	0.309
1428	chapter 6 2.3	Problem 12	✗	0.051	✗	1.96
1429	chapter 6 2.3	Problem 13	✗	0.522	✗ (Timed out)	600.
1430	chapter 6 2.4	Problem 1	✓	0.559	✓	9.542
1431	chapter 6 2.4	Problem 2	✓	1.183	✓	0.942
1432	chapter 6 2.4	Problem 3	✓	0.231	✓	0.363
1433	chapter 6 2.4	Problem 4	✓	0.755	✓	1.461
1434	chapter 6 2.4	Problem 5	✓	0.729	✓	3.034
1435	chapter 6 2.4	Problem 6	✓	0.408	✓	0.21
1436	chapter 6 2.4	Problem 7	✗	0.583	✓	0.802
1437	chapter 6 2.4	Problem 8	✗	0.031	✓	1.053
1438	chapter 6 3.1	Problem 1	✓	0.192	✓	0.036
1439	chapter 6 3.1	Problem 2	✓	0.212	✓	0.08
1440	chapter 6 3.1	Problem 3	✓	0.258	✓	0.045
1441	chapter 6 3.1	Problem 4	✗	0.971	✓	0.792
1442	chapter 6 3.1	Problem 5	✓	0.492	✓	0.067
1443	chapter 6 3.1	Problem 6	✓	0.45	✓	0.178
1444	chapter 6 3.1	Problem 7	✓	1.037	✓	1.017
1445	chapter 6 3.1	Problem 8	✓	1.052	✓	0.557
1446	chapter 6 3.2	Problem 1	✗	0.61	✓	1.928
1447	chapter 6 3.2	Problem 2	✗	0.399	✓	0.19
1448	chapter 6 3.2	Problem 3	✓	1.88	✓	0.608
1449	chapter 6 3.2	Problem 4	✓	1.624	✓	0.352
1450	chapter 6 3.2	Problem 5	✗	38.384	✗	28.995
1451	chapter 6 3.2	Problem 6	✗	37.789	✗	175.698
1452	chapter 6 3.2	Problem 7	✗	13.661	✗	135.207
1453	chapter 6 3.2	Problem 8	✗	23.146	✗	705.375
1454	chapter 6 3.2	Problem 9	✗	8.759	✓	0.768
1455	chapter 6 3.2	Problem 10	✗	2.909	✓	0.839
1456	chapter 6 3.2	Problem 11	✗	2.154	✓	0.375
1457	chapter 6 3.2	Problem 12	✗	28.853	✗	17.028
1458	chapter 6 3.2	Problem 13	✓	1.63	✓	0.48
1459	chapter 6 3.2	Problem 14	✗	1.396	✓	0.681
1460	chapter 6 3.2	Problem 15	✓	1.847	✓	6.793
1461	chapter 6 3.2	Problem 16	✗	3.102	✓	9.759
1462	chapter 6 3.2	Problem 17	✗	31.866	✗	9.673
1463	chapter 6 3.2	Problem 18	✗	21.55	✗ (Timed out)	600.
1464	chapter 6 4.1	Problem 1	✓	0.032	✓	0.033
1465	chapter 6 4.1	Problem 2	✓	0.192	✓	0.143
1466	chapter 6 4.1	Problem 3	✓	0.252	✓	0.12
1467	chapter 6 4.1	Problem 4	✓	0.461	✓	0.091
1468	chapter 6 4.1	Problem 5	✗	11.171	✓	0.548
1469	chapter 6 4.1	Problem 6	✗ (Timed out)	600.	✓	0.073
1470	chapter 6 4.2	Problem 1	✓	0.032	✓	0.018
1471	chapter 6 4.2	Problem 2	✓	0.048	✓	0.022
1472	chapter 6 4.2	Problem 3	✓	0.188	✓	0.048
1473	chapter 6 4.2	Problem 4	✓	0.248	✓	0.06
1474	chapter 6 4.2	Problem 5	✓	0.491	✓	0.095
1475	chapter 6 4.2	Problem 6	✗	176.322	✓	2.016
1476	chapter 6 4.3	Problem 1	✓	0.269	✓	0.585
1477	chapter 6 4.3	Problem 2	✓	0.085	✓	0.024
1478	chapter 6 4.3	Problem 3	✓	0.743	✓	8.194
1479	chapter 6 4.3	Problem 4	✓	0.91	✓	1.031
1480	chapter 6 4.3	Problem 5	✗	2.001	✓	1.134
1481	chapter 6 4.3	Problem 6	✗	0.65	✓	6.149
1482	chapter 6 4.4	Problem 1	✓	0.258	✓	0.305
1483	chapter 6 4.4	Problem 2	✓	0.086	✓	0.025
1484	chapter 6 4.4	Problem 3	✓	0.782	✓	0.25
1485	chapter 6 4.4	Problem 4	✓	0.837	✓	0.047
1486	chapter 6 4.4	Problem 5	✗	4.917	✓	1.448
1487	chapter 6 4.4	Problem 6	✗	0.649	✓	6.055
1488	chapter 6 4.5	Problem 1	✓	0.502	✓	0.204
1489	chapter 6 4.5	Problem 2	✓	0.294	✓	0.065
1490	chapter 6 4.5	Problem 3	✗ (Timed out)	600.	✓	0.06
1491	chapter 6 4.5	Problem 4	✗ (Timed out)	600.	✓	4.848
1492	chapter 6 4.5	Problem 5	✗	0.703	✓	5.78
1493	chapter 6 4.5	Problem 6	✗	0.668	✓	0.668
1494	chapter 6 5.1	Problem 1	✓	0.24	✓	0.219
1495	chapter 6 5.1	Problem 2	✓	0.01	✓	0.02
1496	chapter 6 5.1	Problem 3	✓	0.283	✓	0.874
1497	chapter 6 5.1	Problem 4	✓	0.216	✓	0.286
1498	chapter 6 5.2	Problem 1	✓	0.041	✓	0.02
1499	chapter 6 5.2	Problem 2	✓	0.215	✓	0.319
1500	chapter 6 5.2	Problem 3	✓	0.263	✓	5.551
1501	chapter 6 5.2	Problem 4	✓	0.309	✓	5.792
1502	chapter 6 5.2	Problem 5	✓	0.121	✓	0.099
1503	chapter 6 5.2	Problem 6	✓	0.595	✓	0.671
1504	chapter 6 6.1	Problem 1	✓	0.182	✓	0.16
1505	chapter 6 6.1	Problem 2	✓	0.2	✓	0.145
1506	chapter 6 6.1	Problem 3	✓	0.159	✓	0.046
1507	chapter 6 6.1	Problem 4	✓	0.46	✓	0.211
1508	chapter 6 6.1	Problem 5	✓	3.111	✓	8.096
1509	chapter 6 6.2	Problem 1	✓	0.464	✓	0.157
1510	chapter 6 6.2	Problem 2	✓	0.443	✓	0.143
1511	chapter 6 6.2	Problem 3	✗ (Timed out)	600.	✓	0.047
1512	chapter 6 6.2	Problem 4	✗ (Timed out)	600.	✓	0.003
1513	chapter 6 6.2	Problem 5	✓	3.096	✓	1.55
1514	chapter 6 6.3	Problem 1	✓	0.209	✓	0.41	Yes
1515	chapter 6 6.3	Problem 2	✓	0.671	✓	5.052	Yes
1516	chapter 6 6.3	Problem 3	✓	0.96	✓	0.612
1517	chapter 6 6.3	Problem 4	✓	0.214	✓	0.015
1518	chapter 6 6.3	Problem 5	✓	1.441	✓	1.097
1519	chapter 6 6.4	Problem 1	✓	0.214	✓	0.588
1520	chapter 6 6.4	Problem 2	✓	0.664	✓	8.542
1521	chapter 6 6.4	Problem 3	✓	0.836	✓	0.713
1522	chapter 6 6.4	Problem 4	✓	0.257	✓	0.003
1523	chapter 6 6.4	Problem 5	✗	1.799	✓	5.839
1524	chapter 6 6.5	Problem 1	✓	162.609	✓	5.935
1525	chapter 6 6.5	Problem 2	✓	0.096	✓	0.1
1526	chapter 6 6.5	Problem 3	✓	0.528	✓	0.756
1527	chapter 6 6.5	Problem 4	✗	67.888	✓	6.934
1528	chapter 6 6.5	Problem 5	✓	0.494	✓	0.4
1529	chapter 6 6.5	Problem 6	✗	20.608	✓	2.248
1530	chapter 6 7.1	Problem 1	✓	0.325	✓	0.342
1531	chapter 6 7.1	Problem 2	✓	0.392	✓	0.451
1532	chapter 6 7.1	Problem 3	✓	0.087	✓	0.115
1533	chapter 6 7.1	Problem 4	✓	0.252	✗ (Timed out)	600.
1534	chapter 6 7.1	Problem 5	✓	0.29	✓	0.763
1535	chapter 6 7.2	Problem 1	✓	0.287	✓	0.335
1536	chapter 6 7.2	Problem 2	✓	0.403	✓	0.245
1537	chapter 6 7.2	Problem 3	✓	0.073	✓	0.105
1538	chapter 6 7.2	Problem 4	✓	0.242	✓	3.547
1539	chapter 6 7.2	Problem 5	✓	0.274	✓	0.182
1540	chapter 6 7.3	Problem 1	✓	0.789	✓	5.541
1541	chapter 6 7.3	Problem 2	✓	0.689	✓	566.981
1542	chapter 6 7.3	Problem 3	✓	0.398	✓	0.399
1543	chapter 6 7.3	Problem 4	✓	0.215	✓	0.858
1544	chapter 6 7.3	Problem 5	✓	0.586	✓	0.338
1545	chapter 6 7.4	Problem 1	✓	0.939	✓	0.411
1546	chapter 6 7.4	Problem 2	✓	0.723	✓	530.714
1547	chapter 6 7.4	Problem 3	✓	0.427	✓	0.289
1548	chapter 6 7.4	Problem 4	✓	0.199	✓	0.787
1549	chapter 6 7.4	Problem 5	✓	0.558	✓	0.258
1550	chapter 6 8.1	Problem 1	✓	0.01	✓	0.018
1551	chapter 6 8.1	Problem 2	✓	0.193	✓	0.047
1552	chapter 6 8.1	Problem 3	✓	0.099	✓	0.046
1553	chapter 6 8.1	Problem 4	✓	0.306	✓	0.261
1554	chapter 6 8.1	Problem 5	✓	0.189	✓	0.043
1555	chapter 6 8.1	Problem 6	✗	0.006	✗	1.304
1556	chapter 6 8.1	Problem 7	✓	4.141	✓	7.033
1557	chapter 6 8.1	Problem 8	✓	0.845	✓	0.362
1558	chapter 6 8.1	Problem 9	✗	0.567	✓	0.413
1559	chapter 6 8.1	Problem 10	✗	0.734	✓	0.653
1560	chapter 6 8.2	Problem 1	✓	0.045	✓	0.033
1561	chapter 6 8.2	Problem 2	✓	0.476	✓	0.707
1562	chapter 6 8.2	Problem 3	✓	3.228	✓	0.048
1563	chapter 6 8.2	Problem 4	✗	0.239	✓	0.245
1564	chapter 6 8.2	Problem 5	✓	0.157	✓	0.04
1565	chapter 6 8.2	Problem 6	✓	0.191	✓	0.039
1566	chapter 6 8.2	Problem 7	✓	0.151	✓	0.125
1567	chapter 6 8.3	Problem 1	✓	0.021	✓	0.03
1568	chapter 6 8.3	Problem 2	✓	0.028	✓	0.032
1569	chapter 6 8.3	Problem 3	✓	0.039	✓	0.023
1570	chapter 6 8.3	Problem 4	✓	0.069	✓	0.021
1571	chapter 6 8.3	Problem 5	✓	0.072	✓	0.026
1572	chapter 6 8.3	Problem 6	✓	0.47	✓	0.447
1573	chapter 6 8.3	Problem 7	✓	2.493	✓	6.959
1574	chapter 6 8.3	Problem 8	✗	133.566	✗ (Timed out)	600.
1575	chapter 6 8.3	Problem 9	✗	0.351	✓	7.617
1576	chapter 6 8.3	Problem 10	✗	0.27	✓	2.977
1577	chapter 6 8.3	Problem 11	✗	45.363	✗	6.523
1578	chapter 6 8.3	Problem 12	✗	1.548	✗	0.95
1579	chapter 7 2.1	Problem 1	✓	0.041	✓	0.033
1580	chapter 7 2.1	Problem 2	✓	0.154	✓	0.171
1581	chapter 7 2.1	Problem 3	✓	0.038	✓	0.032
1582	chapter 7 2.1	Problem 4	✓	0.583	✓	0.068
1583	chapter 7 2.1	Problem 5	✓	0.116	✓	0.059
1584	chapter 7 2.1	Problem 6	✓	0.125	✓	0.033	Yes
1585	chapter 7 2.1	Problem 7	✓	0.173	✓	0.057	Yes
1586	chapter 7 2.1	Problem 8	✗	0.023	✓	0.378
1587	chapter 7 2.1	Problem 9	✓	0.861	✓	0.113
1588	chapter 7 2.2	Problem 1	✓	0.093	✓	0.023
1589	chapter 7 2.2	Problem 2	✓	0.033	✓	0.021
1590	chapter 7 2.2	Problem 3	✓	0.136	✓	0.037
1591	chapter 7 2.2	Problem 4	✓	0.078	✓	0.032
1592	chapter 7 2.2	Problem 5	✓	0.2	✓	0.037
1593	chapter 7 2.2	Problem 6	✓	0.22	✓	0.044
1594	chapter 7 2.2	Problem 7	✓	0.147	✓	0.03
1595	chapter 7 2.2	Problem 8	✓	0.148	✓	0.025
1596	chapter 7 2.2	Problem 9	✓	0.175	✓	0.053
1597	chapter 7 2.3	Problem 1	✓	0.024	✓	0.042
1598	chapter 7 2.3	Problem 2	✓	0.036	✓	0.025
1599	chapter 7 2.3	Problem 3	✓	0.06	✓	0.032
1600	chapter 7 2.3	Problem 4	✓	0.114	✓	0.22
1601	chapter 7 2.3	Problem 5	✓	0.187	✓	0.04
1602	chapter 7 2.4	Problem 1	✓	0.325	✓	0.038
1603	chapter 7 2.4	Problem 2	✓	0.196	✓	0.038
1604	chapter 7 2.4	Problem 3	✓	0.101	✓	0.131
1605	chapter 7 2.4	Problem 4	✓	0.161	✓	0.966
1606	chapter 7 2.4	Problem 5	✓	0.091	✓	0.137
1607	chapter 7 2.4	Problem 6	✗	0.026	✓	0.476
1608	chapter 7 2.4	Problem 7	✗	1.871	✓	0.204
1609	chapter 7 2.4	Problem 8	✓	3.208	✓	1.974
1610	chapter 7 2.4	Problem 9	✓	1.135	✓	3.751
1611	chapter 7 2.4	Problem 10	✓	0.766	✓	7.364
1612	chapter 7 2.4	Problem 11	✓	10.748	✓	2.159
1613	chapter 7 2.4	Problem 12	✓	0.05	✓	0.038
1614	chapter 7 2.4	Problem 13	✓	0.409	✓	0.348
1615	chapter 7 3.1	Problem 1	✓	0.044	✓	0.032
1616	chapter 7 3.1	Problem 2	✓	0.477	✓	0.535
1617	chapter 7 3.1	Problem 3	✓	2.421	✓	0.72
1618	chapter 7 3.1	Problem 4	✗	0.906	✓	0.376
1619	chapter 7 3.1	Problem 5	✓	0.56	✓	0.101
1620	chapter 7 3.1	Problem 6	✓	0.363	✓	5.241
1621	chapter 7 3.1	Problem 7	✓	1.107	✓	1.305
1622	chapter 7 3.1	Problem 8	✓	1.064	✓	1.005
1623	chapter 7 3.2	Problem 1	✓	0.988	✓	0.547
1624	chapter 7 3.2	Problem 2	✓	0.86	✓	0.624
1625	chapter 7 3.2	Problem 3	✓	0.365	✓	0.042
1626	chapter 7 3.2	Problem 4	✓	0.373	✓	0.361
1627	chapter 7 3.2	Problem 5	✓	0.382	✓	22.678
1628	chapter 7 3.2	Problem 6	✗	37.92	✗	26.653
1629	chapter 7 3.2	Problem 7	✗	14.713	✗	150.023
1630	chapter 7 3.2	Problem 8	✗	23.568	✓	147.726
1631	chapter 7 3.2	Problem 9	✓	1.885	✓	0.416
1632	chapter 7 3.2	Problem 10	✗	15.035	✗	46.533
1633	chapter 7 3.2	Problem 11	✓	2.318	✓	1.76
1634	chapter 7 4.1	Problem 1	✓	0.553	✓	0.216
1635	chapter 7 4.1	Problem 2	✓	30.778	✓	5.914
1636	chapter 7 4.1	Problem 3	✓	1.61	✓	0.413
1637	chapter 7 4.1	Problem 4	✓	19.909	✓	0.954
1638	chapter 7 4.1	Problem 5	✓	30.965	✗ (Timed out)	600.
1639	chapter 7 4.2	Problem 1	✓	0.557	✓	0.204
1640	chapter 7 4.2	Problem 2	✓	26.371	✓	0.885
1641	chapter 7 4.2	Problem 3	✓	1.649	✓	0.415
1642	chapter 7 4.2	Problem 4	✓	14.672	✓	0.933
1643	chapter 7 4.2	Problem 5	✓	0.32	✓	0.192
1644	chapter 7 4.2	Problem 6	✓	27.166	✗ (Timed out)	600.
1645	chapter 7 4.3	Problem 1	✓	0.429	✓	0.801
1646	chapter 7 4.3	Problem 2	✓	142.248	✓	18.04
1647	chapter 7 4.3	Problem 3	✓	0.974	✓	0.824
1648	chapter 7 4.3	Problem 4	✗	0.846	✓	4.727
1649	chapter 7 4.3	Problem 5	✓	1.292	✓	6.951
1650	chapter 7 4.3	Problem 6	✗	2.011	✓	4.181
1651	chapter 7 4.3	Problem 7	✓	43.572	✓	5.009
1652	chapter 7 4.4	Problem 1	✓	0.448	✓	0.257
1653	chapter 7 4.4	Problem 2	✓	140.61	✓	19.116
1654	chapter 7 4.4	Problem 3	✓	0.984	✓	0.607
1655	chapter 7 4.4	Problem 4	✗	0.856	✓	3.115
1656	chapter 7 4.4	Problem 5	✓	1.969	✓	0.726
1657	chapter 7 4.4	Problem 6	✓	44.356	✓	4.756
1658	chapter 7 4.5	Problem 1	✓	25.839	✓	5.616
1659	chapter 7 4.5	Problem 2	✓	1.212	✓	0.594
1660	chapter 7 4.5	Problem 3	✓	190.089	✓	1.739
1661	chapter 7 4.5	Problem 4	✓	0.708	✓	0.394
1662	chapter 7 4.5	Problem 5	✓	0.567	✓	0.211
1663	chapter 7 5.1	Problem 1	✓	0.048	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.039
1664	chapter 7 5.1	Problem 2	✗	0.329	✓	0.448
1665	chapter 7 5.1	Problem 3	✓	0.084	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.064
1666	chapter 7 5.1	Problem 4	✗	0.058	✓	0.962
1667	chapter 7 5.1	Problem 5	✗	2.112	✓ Contains RootOf and unresolved integrals \(\ln ^n(x)\)	0.646
1668	chapter 7 5.2	Problem 1	✓	0.772	✓ Answer has unresolved integrals	11.958
1669	chapter 7 5.2	Problem 2	✓	3.871	✓ Answer has unresolved integrals	3.329
1670	chapter 7 5.2	Problem 3	✓ Generated internal errors from solve : inconsistent or redundant transcendental equation	0.099	✓ Answer has unresolved integrals and RootOf	0.859
1671	chapter 7 5.2	Problem 4	✗	0.506	✓	0.511
1672	chapter 7 5.2	Problem 5	✓	2.744	✓	1.17
1673	chapter 7 6.1	Problem 1	✓	0.615	✓	0.824
1674	chapter 7 6.1	Problem 2	✓	0.368	✓	0.335
1675	chapter 7 6.1	Problem 3	✓	1.222	✓	1.584
1676	chapter 7 6.1	Problem 4	✓	134.918	✓	7.28
1677	chapter 7 6.1	Problem 5	✓	3.707	✓	2.008
1678	chapter 7 6.1	Problem 6	✗	2.262	✓	11.292
1679	chapter 7 6.2	Problem 1	✓	0.572	✓	0.593
1680	chapter 7 6.2	Problem 2	✓	1.449	✓	0.379
1681	chapter 7 6.2	Problem 3	✓	1.267	✓	0.812
1682	chapter 7 6.2	Problem 4	✓	118.275	✓	5.271
1683	chapter 7 6.2	Problem 5	✓	2.903	✓	1.642
1684	chapter 7 6.2	Problem 6	✗	2.192	✓	6.967
1685	chapter 7 6.3	Problem 1	✓	0.439	✓	0.538
1686	chapter 7 6.3	Problem 2	✓	0.478	✓	1.339
1687	chapter 7 6.3	Problem 3	✓	0.865	✓	1.117
1688	chapter 7 6.3	Problem 4	✓	39.998	✓	8.115
1689	chapter 7 6.3	Problem 5	✗	1.544	✓	4.856
1690	chapter 7 6.4	Problem 1	✓	0.438	✓	0.411
1691	chapter 7 6.4	Problem 2	✓	0.706	✓	1.788
1692	chapter 7 6.4	Problem 3	✓	0.859	✓	1.046
1693	chapter 7 6.4	Problem 4	✓	44.145	✓	6.069
1694	chapter 7 6.4	Problem 5	✓	3.04	✓	6.204
1695	chapter 7 6.2	Problem 6	✗	1.563	✓	5.77
1696	chapter 7 6.5	Problem 1	✓	1.505	✓	0.058
1697	chapter 7 6.5	Problem 2	✗	68.895	✓	4.689
1698	chapter 7 6.5	Problem 3	✗	33.256	✓	7.102
1699	chapter 7 6.5	Problem 4	✗ (Timed out)	600.	✓	5.447
1700	chapter 7 6.5	Problem 5	✗	12.338	✓	3.661
1701	chapter 7 7.1	Problem 1	✓	0.102	✓	0.257
1702	chapter 7 7.1	Problem 2	✓	0.754	✓	0.148
1703	chapter 7 7.1	Problem 3	✗	1.071	✓	0.393
1704	chapter 7 7.1	Problem 4	✗	0.818	✓	0.528
1705	chapter 7 7.1	Problem 5	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	2.22	✗ (Timed out)	600.
1706	chapter 7 7.1	Problem 6	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	0.714	✗ (Timed out)	600.
1707	chapter 7 7.2	Problem 1	✓	0.097	✓ Answer contains unresolved integrals	0.122
1708	chapter 7 7.2	Problem 2	✓	0.667	✓	0.031
1709	chapter 7 7.2	Problem 3	✗	1.012	✓	0.303
1710	chapter 7 7.2	Problem 4	✓	2.572	✓	4.802
1711	chapter 7 7.2	Problem 5	✗	0.944	✓	1.419
1712	chapter 7 7.3	Problem 1	✓	0.617	✓	0.283
1713	chapter 7 7.3	Problem 2	✓	0.21	✓	0.442
1714	chapter 7 7.3	Problem 3	✗	0.804	✓	0.703
1715	chapter 7 7.3	Problem 4	✗	0.395	✓	227.
1716	chapter 7 7.3	Problem 5	✓	0.314	✓	0.98
1717	chapter 7 7.4	Problem 1	✓	0.699	✓	0.166
1718	chapter 7 7.4	Problem 2	✓	0.299	✓	0.072
1719	chapter 7 7.4	Problem 3	✗	0.91	✓	0.417
1720	chapter 7 7.4	Problem 4	✗	0.656	✓	540.133
1721	chapter 7 7.4	Problem 5	✓	0.241	✓	0.256
1722	chapter 7 8.1	Problem 1	✓	0.022	✓	0.064
1723	chapter 7 8.1	Problem 2	✓	0.196	✓	0.046
1724	chapter 7 8.1	Problem 3	✓	0.103	✓	0.043
1725	chapter 7 8.1	Problem 4	✓	0.331	✓	0.744
1726	chapter 7 8.1	Problem 5	✗	0.278	✗	1.351
1727	chapter 7 8.1	Problem 6	✗	24.744	✓ Gives Warning: Incomplete separation	28.9
1728	chapter 7 8.1	Problem 7	✓	0.78	✓	0.319
1729	chapter 7 8.1	Problem 8	✗	0.614	✓	0.433
1730	chapter 7 8.1	Problem 9	✗	0.764	✓	0.626
1731	chapter 7 8.2	Problem 1	✗	0.174	✓	0.052
1732	chapter 7 8.2	Problem 2	✗	0.233	✓	0.198
1733	chapter 7 8.2	Problem 3	✗	0.207	✓	0.043
1734	chapter 7 8.2	Problem 4	✓	0.465	✓	0.244
1735	chapter 7 8.2	Problem 5	✓	1.238	✓	0.766
1736	chapter 7 8.2	Problem 6	✗	38.56	✗	93.916
1737	chapter 7 8.2	Problem 7	✗	0.346	✓	0.987
1738	chapter 7 8.2	Problem 8	✗	0.25	✓	1.434
1739	chapter 7 8.3	Problem 1	✓ Kernel message inconsistent or redundant transcendental equation	0.05	✓	0.038
1740	chapter 7 8.3	Problem 2	✗	0.047	✓	0.049
1741	chapter 7 8.3	Problem 3	✓	0.054	✓	0.037
1742	chapter 7 8.3	Problem 4	✗	0.122	✓	0.056
1743	chapter 7 8.3	Problem 5	✓	0.656	✓	1.312
1744	chapter 7 8.3	Problem 6	✗ (Timed out)	600.	✓	3.88
1745	chapter 7 8.3	Problem 7	✗	3.425	✓	5.145
1746	chapter 7 8.3	Problem 8	✗	0.243	✓	5.451
1747	chapter 7 8.3	Problem 9	✗	0.233	✓	5.389
1748	chapter 7 8.3	Problem 10	✗	46.048	✗	1.677
1749	chapter 7 8.3	Problem 11	✗	0.121	✗	1.052
1750	chapter 8 2.1	Problem 1	✓	0.081	✓	0.047
1751	chapter 8 2.1	Problem 2	✓	0.133	✓	0.18
1752	chapter 8 2.1	Problem 3	✓	0.151	✓	0.052
1753	chapter 8 2.1	Problem 4	✓	1.468	✓	0.111
1754	chapter 8 2.1	Problem 5	✓	0.116	✓	0.043
1755	chapter 8 2.1	Problem 6	✓	0.117	✓	0.06
1756	chapter 8 2.1	Problem 7	✓	0.153	✓	0.088
1757	chapter 8 2.1	Problem 8	✗	0.024	✓	0.338
1758	chapter 8 2.1	Problem 9	✓	0.883	✓	0.101
1759	chapter 8 2.2	Problem 1	✓	0.093	✓	0.043
1760	chapter 8 2.2	Problem 2	✓	0.154	✓	0.031
1761	chapter 8 2.2	Problem 3	✓	0.126	✓	0.041
1762	chapter 8 2.2	Problem 4	✓	2.553	✓	0.33
1763	chapter 8 2.2	Problem 5	✓	0.234	✓	0.112
1764	chapter 8 2.2	Problem 6	✓	0.196	✓	0.206
1765	chapter 8 2.2	Problem 7	✓	0.157	✓	0.04
1766	chapter 8 2.2	Problem 8	✓	0.15	✓	0.031
1767	chapter 8 2.2	Problem 9	✓	0.23	✓	0.069
1768	chapter 8 2.3	Problem 1	✓	0.022	✓	0.037
1769	chapter 8 2.3	Problem 2	✓	0.055	✓	0.033
1770	chapter 8 2.3	Problem 3	✓	0.066	✓	0.033
1771	chapter 8 2.3	Problem 4	✓	0.069	✓	0.164
1772	chapter 8 2.3	Problem 5	✓	0.231	✓	0.064
1773	chapter 8 2.4	Problem 1	✓	0.491	✓	0.055
1774	chapter 8 2.4	Problem 2	✓	0.278	✓	0.044
1775	chapter 8 2.4	Problem 3	✓	0.1	✓	0.181
1776	chapter 8 2.4	Problem 4	✓	0.153	✓	1.029
1777	chapter 8 2.4	Problem 5	✓	0.098	✓	0.157
1778	chapter 8 2.4	Problem 6	✗	0.027	✓	0.178
1779	chapter 8 2.4	Problem 7	✗	1.922	✓	3.349
1780	chapter 8 2.4	Problem 8	✓	3.086	✓	4.848
1781	chapter 8 2.4	Problem 9	✓	1.368	✓	6.004
1782	chapter 8 2.4	Problem 10	✓	0.817	✓	2.81
1783	chapter 8 2.4	Problem 11	✗	22.571	✓	8.774
1784	chapter 8 2.4	Problem 12	✓	0.048	✓	0.046
1785	chapter 8 2.4	Problem 13	✓	0.394	✓	0.35
1786	chapter 8 3.1	Problem 1	✓	0.04	✓	0.03
1787	chapter 8 3.1	Problem 2	✓	0.541	✓	0.059
1788	chapter 8 3.1	Problem 3	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	2.348	✓	0.79
1789	chapter 8 3.1	Problem 4	✗	2.11	✓	1.836
1790	chapter 8 3.1	Problem 5	✓	0.571	✓	0.106
1791	chapter 8 3.1	Problem 6	✗	2.071	✓	0.263
1792	chapter 8 3.1	Problem 7	✓	1.061	✓	1.077
1793	chapter 8 3.1	Problem 8	✓	1.062	✓	0.582
1794	chapter 8 3.2	Problem 1	✓	1.786	✓	1.141
1795	chapter 8 3.2	Problem 2	✓	1.572	✓	0.639
1796	chapter 8 3.2	Problem 3	✓	0.993	✓	0.165
1797	chapter 8 3.2	Problem 4	✓	0.395	✓	0.437
1798	chapter 8 3.2	Problem 5	✓	0.285	✓	3.016
1799	chapter 8 3.2	Problem 6	✗	39.07	✓	140.53
1800	chapter 8 3.2	Problem 7	✗	15.044	✗	225.072
1801	chapter 8 3.2	Problem 8	✗	23.588	✗ (Timed out)	600.
1802	chapter 8 3.2	Problem 9	✓	2.091	✓	0.527
1803	chapter 8 3.2	Problem 10	✗	1.468	✓	0.692
1804	chapter 8 3.2	Problem 11	✓	2.4	✓	2.383
1805	chapter 8 4.1	Problem 1	✓	0.987	✓	0.212
1806	chapter 8 4.1	Problem 2	✓	28.056	✓	0.249
1807	chapter 8 4.1	Problem 3	✓	11.887	✓	0.401
1808	chapter 8 4.1	Problem 4	✓	18.777	✓	0.361
1809	chapter 8 4.1	Problem 5	✗	5.134	✓	4.425
1810	chapter 8 4.2	Problem 1	✓	1.01	✓	0.172
1811	chapter 8 4.2	Problem 2	✓	23.355	✓	0.201
1812	chapter 8 4.2	Problem 3	✓	4.194	✓	0.021
1813	chapter 8 4.2	Problem 4	✓	14.214	✓	0.435
1814	chapter 8 4.2	Problem 5	✗	5.197	✓	1.935
1815	chapter 8 4.3	Problem 1	✓	0.245	✓	0.214
1816	chapter 8 4.3	Problem 2	✓	109.367	✓	2.683
1817	chapter 8 4.3	Problem 3	✓	0.766	✓	1.508
1818	chapter 8 4.3	Problem 4	✗	0.906	✓	4.774
1819	chapter 8 4.3	Problem 5	✓	1.328	✓	3.007
1820	chapter 8 4.3	Problem 6	✗	5.486	✓	1.539
1821	chapter 8 4.4	Problem 1	✓	0.249	✓	0.25
1822	chapter 8 4.4	Problem 2	✓	76.565	✓	3.019
1823	chapter 8 4.4	Problem 3	✓	0.758	✓	1.485
1824	chapter 8 4.4	Problem 4	✗	0.876	✓	2.064
1825	chapter 8 4.4	Problem 5	✓	1.701	✓	0.49
1826	chapter 8 4.4	Problem 6	✗	5.167	✓	2.977
1827	chapter 8 4.5	Problem 1	✓	57.799	✓	5.677
1828	chapter 8 4.5	Problem 2	✓	9.787	✓	0.467
1829	chapter 8 4.5	Problem 3	✗	192.154	✓	1.326
1830	chapter 8 4.5	Problem 4	✓	0.758	✓	0.402
1831	chapter 8 4.5	Problem 5	✓	0.563	✓	0.286
1832	chapter 8 5.1	Problem 1	✓	0.033	✓	0.033
1833	chapter 8 5.1	Problem 2	✓	0.09	✓	0.07
1834	chapter 8 5.1	Problem 3	✓	0.091	✓	0.059
1835	chapter 8 5.1	Problem 4	✗	0.534	✓	0.151
1836	chapter 8 5.1	Problem 5	✗	0.056	✓	0.516
1837	chapter 8 5.2	Problem 1	✗	0.345	✓	12.321
1838	chapter 8 5.2	Problem 2	✓	2.475	✓	2.752
1839	chapter 8 5.2	Problem 3	✓	0.556	✗ (Timed out)	600.
1840	chapter 8 5.2	Problem 4	✗	0.516	✓	0.386
1841	chapter 8 5.2	Problem 5	✓	0.807	✓	0.851
1842	chapter 8 6.1	Problem 1	✓	1.002	✓	1.781
1843	chapter 8 6.1	Problem 2	✓	0.622	✓	0.247
1844	chapter 8 6.1	Problem 3	✗	3.538	✓	5.063
1845	chapter 8 6.1	Problem 4	✗	72.066	✓	10.123
1846	chapter 8 6.1	Problem 5	✓	64.915	✓	3.892
1847	chapter 8 6.1	Problem 6	✗	1.362	✓	9.376
1848	chapter 8 6.2	Problem 1	✓	1.564	✓	0.404
1849	chapter 8 6.2	Problem 2	✓	1.397	✓	0.274
1850	chapter 8 6.2	Problem 3	✓	3.209	✓	0.717
1851	chapter 8 6.2	Problem 4	✗	69.57	✓	10.787
1852	chapter 8 6.2	Problem 5	✓	110.348	✓	2.995
1853	chapter 8 6.2	Problem 6	✗	1.36	✓	7.395
1854	chapter 8 6.3	Problem 1	✓	0.274	✓	0.543
1855	chapter 8 6.3	Problem 2	✓	0.487	✓	0.78
1856	chapter 8 6.3	Problem 3	✓	0.673	✓	2.057
1857	chapter 8 6.3	Problem 4	✓	29.217	✓	1.839
1858	chapter 8 6.3	Problem 5	✗	1.249	✓	4.678
1859	chapter 8 6.4	Problem 1	✓	0.086	✓	0.474
1860	chapter 8 6.4	Problem 2	✓	0.82	✓	2.227
1861	chapter 8 6.4	Problem 3	✓	0.668	✓	1.148
1862	chapter 8 6.4	Problem 4	✓	41.154	✓	18.149
1863	chapter 8 6.4	Problem 5	✗	1.221	✓	5.306
1864	chapter 8 6.5	Problem 1	✓	8.927	✓	1.075
1865	chapter 8 6.5	Problem 2	✗	69.505	✓	9.524
1866	chapter 8 6.5	Problem 3	✗	36.425	✓	13.905
1867	chapter 8 6.5	Problem 4	✗	1.874	✓	5.072
1868	chapter 8 6.5	Problem 5	✗	1.565	✓	4.843
1869	chapter 8 7.1	Problem 1	✓	0.188	✓	0.133
1870	chapter 8 7.1	Problem 2	✓	1.084	✓	0.632
1871	chapter 8 7.1	Problem 3	✗	1.024	✓	0.493
1872	chapter 8 7.1	Problem 4	✗	0.784	✓	0.658
1873	chapter 8 7.1	Problem 5	✓	2.043	✗ (Timed out)	600.
1874	chapter 8 7.1	Problem 6	✗	0.91	✓	2.681
1875	chapter 8 7.2	Problem 1	✓	0.049	✓	0.126
1876	chapter 8 7.2	Problem 2	✓	1.1	✓	0.102
1877	chapter 8 7.2	Problem 3	✗	0.901	✓	0.217
1878	chapter 8 7.2	Problem 4	✗	0.728	✓	0.48
1879	chapter 8 7.2	Problem 5	✓	2.365	✓	0.594
1880	chapter 8 7.2	Problem 6	✗	0.897	✓	0.22
1881	chapter 8 7.3	Problem 1	✓	0.303	✓	0.306
1882	chapter 8 7.3	Problem 2	✓	0.627	✓	0.461
1883	chapter 8 7.3	Problem 3	✗	0.773	✓	0.086
1884	chapter 8 7.3	Problem 4	✗	0.573	✓	600.
1885	chapter 8 7.3	Problem 5	✓	0.284	✓	0.58
1886	chapter 8 7.4	Problem 1	✓	0.339	✓	0.312
1887	chapter 8 7.4	Problem 2	✓	0.587	✓	0.189
1888	chapter 8 7.4	Problem 3	✗	0.819	✓	0.083
1889	chapter 8 7.4	Problem 4	✗	0.596	✓	0.115
1890	chapter 8 7.4	Problem 5	✓	0.286	✓	3.218
1891	chapter 8 8.1	Problem 1	✓	0.019	✓	0.055
1892	chapter 8 8.1	Problem 2	✓	0.191	✓	0.043
1893	chapter 8 8.1	Problem 3	✓	0.1	✓	0.026
1894	chapter 8 8.1	Problem 4	✓	0.298	✓	0.09
1895	chapter 8 8.1	Problem 5	✓	0.178	✓	0.34
1896	chapter 8 8.1	Problem 6	✓	3.506	✓	3.265
1897	chapter 8 8.1	Problem 7	✓	0.762	✓	0.341
1898	chapter 8 8.1	Problem 8	✗	0.533	✓	0.191
1899	chapter 8 8.1	Problem 9	✗	0.711	✓	0.197
1900	chapter 8 8.2	Problem 1	✗	0.151	✓	0.121
1901	chapter 8 8.2	Problem 2	✗	0.22	✓	0.129
1902	chapter 8 8.2	Problem 3	✗	0.191	✓	0.063
1903	chapter 8 8.2	Problem 4	✓	0.165	✓	0.253
1904	chapter 8 8.2	Problem 5	✓	1.139	✗	6.942
1905	chapter 8 8.2	Problem 6	✗	0.305	✓	2.151
1906	chapter 8 8.2	Problem 7	✗	21.021	✗	4.934
1907	chapter 8 8.2	Problem 8	✗	20.227	✗	5.582
1908	chapter 8 8.3	Problem 1	✓	0.036	✓	0.036
1909	chapter 8 8.3	Problem 2	✗	0.041	✓	0.039
1910	chapter 8 8.3	Problem 3	✓	0.054	✓	0.026
1911	chapter 8 8.3	Problem 4	✗	0.107	✓	0.037
1912	chapter 8 8.3	Problem 5	✓	0.619	✓	1.618
1913	chapter 8 8.3	Problem 6	✗ (Timed out)	600.	✓	4.698
1914	chapter 8 8.3	Problem 7	✗	129.84	✗ (Timed out)	600.
1915	chapter 8 8.3	Problem 8	✗	20.238	✗	3.136
1916	chapter 8 8.3	Problem 9	✗	20.233	✗	4.5
1917	chapter 8 8.3	Problem 10	✗	45.026	✓	1.193
1918	chapter 8 8.3	Problem 11	✗	1.466	✗	3.914
1919	chapter 9 2.1	Problem 1	✓	0.351	✓	0.06
1920	chapter 9 2.1	Problem 2	✓	0.413	✓	0.529
1921	chapter 9 2.1	Problem 3	✓	0.25	✓	0.069
1922	chapter 9 2.1	Problem 4	✓	0.111	✓	0.036
1923	chapter 9 2.1	Problem 5	✓	0.21	✓	0.06
1924	chapter 9 2.1	Problem 6	✗ (Timed out)	600.	✗ (Timed out)	600.
1925	chapter 9 2.1	Problem 7	✓	0.167	✓	0.182
1926	chapter 9 2.1	Problem 8	✓	0.123	✓	0.023
1927	chapter 9 2.1	Problem 9	✓	0.272	✓	0.595
1928	chapter 9 2.2	Problem 1	✓	0.3	✓	0.054
1929	chapter 9 2.2	Problem 2	✓	0.083	✓	0.043
1930	chapter 9 2.2	Problem 3	✓	0.257	✓	0.063
1931	chapter 9 2.2	Problem 4	✗ (Timed out)	600.	✓	578.
1932	chapter 9 2.2	Problem 5	✓	0.053	✓	0.129
1933	chapter 9 2.2	Problem 6	✓	0.05	✓	0.042
1934	chapter 9 2.2	Problem 7	✓	0.317	✓	0.265
1935	chapter 9 2.3	Problem 1	✓	0.133	✓	0.143
1936	chapter 9 2.3	Problem 2	✓	0.139	✓	0.122
1937	chapter 9 2.3	Problem 3	✓	0.144	✓	1.511
1938	chapter 9 2.3	Problem 4	✗ (Timed out)	600.	✓	177.289
1939	chapter 9 2.3	Problem 5	✓	0.304	✓	0.575
1940	chapter 9 2.4	Problem 1	✓	0.185	✓	0.247
1941	chapter 9 2.4	Problem 2	✓	0.177	✓	0.076
1942	chapter 9 2.4	Problem 3	✓	0.267	✓	3.25
1943	chapter 9 2.4	Problem 4	✓	0.143	✓	0.281
1944	chapter 9 2.4	Problem 5	✓	0.044	✓	1.599
1945	chapter 9 2.4	Problem 6	✓	0.142	✓	0.565
1946	chapter 9 2.4	Problem 7	✓	3.95	✓	12.536
1947	chapter 9 2.4	Problem 8	✓	2.038	✓	10.178
1948	chapter 9 2.4	Problem 9	✗	23.655	✓	36.975
1949	chapter 9 2.4	Problem 10	✓	0.074	✓	0.125
1950	chapter 9 2.4	Problem 11	✓	0.185	✓	0.434
1951	chapter 9 2.4	Problem 12	✗	0.031	✓	0.701
1952	chapter 9 2.4	Problem 13	✓	2.958	✓	2.391
1953	chapter 9 2.4	Problem 14	✓	0.537	✓	0.353
1954	chapter 9 3.1	Problem 1	✓	0.073	✓	0.054
1955	chapter 9 3.1	Problem 2	✓	0.102	✓	0.061
1956	chapter 9 3.1	Problem 3	✓	0.226	✓	0.04
1957	chapter 9 3.1	Problem 4	✓	0.194	✓	0.046
1958	chapter 9 3.1	Problem 5	✗	2.677	✓	2.257
1959	chapter 9 3.1	Problem 6	✓	1.455	✓	0.975
1960	chapter 9 3.1	Problem 7	✗ (Timed out)	600.	✓	32.505
1961	chapter 9 3.2	Problem 1	✓	0.078	✓	0.066
1962	chapter 9 3.2	Problem 2	✓	0.104	✓	0.063
1963	chapter 9 3.2	Problem 3	✗	0.167	✓	0.204
1964	chapter 9 3.2	Problem 4	✗	2.52	✓	3.626
1965	chapter 9 3.2	Problem 5	✓	2.575	✓	1.111
1966	chapter 9 3.2	Problem 6	✗	2.641	✓	2.329
1967	chapter 9 3.2	Problem 7	✓	0.347	✓	0.118
1968	chapter 9 3.2	Problem 8	✓	1.351	✓	0.513
1969	chapter 9 3.2	Problem 9	✗ (Timed out)	600.	✓	3.155
1970	chapter 9 3.2	Problem 10	✗	1.863	✓	1.685
1971	chapter 9 4.1	Problem 1	✓	127.643	✓	0.274
1972	chapter 9 4.1	Problem 2	✓	3.164	✓	0.573
1973	chapter 9 4.1	Problem 3	✓	0.162	✓	0.249
1974	chapter 9 4.1	Problem 4	✗	167.253	✓	0.556
1975	chapter 9 4.1	Problem 5	✓	150.807	✓	2.987
1976	chapter 9 4.2	Problem 1	✓	130.254	✓	0.22
1977	chapter 9 4.2	Problem 2	✓	3.226	✓	0.707
1978	chapter 9 4.2	Problem 3	✓	0.143	✓	0.262
1979	chapter 9 4.2	Problem 4	✗	176.196	✓	0.451
1980	chapter 9 4.2	Problem 5	✓	155.26	✓	2.194
1981	chapter 9 4.3	Problem 1	✓	74.218	✓	0.267
1982	chapter 9 4.3	Problem 2	✓	3.212	✓	2.997
1983	chapter 9 4.3	Problem 3	✓	0.235	✓	0.378
1984	chapter 9 4.3	Problem 4	✗	185.477	✓	0.892
1985	chapter 9 4.3	Problem 5	✓	275.802	✓	1.291
1986	chapter 9 4.4	Problem 1	✓	70.045	✓	0.266
1987	chapter 9 4.4	Problem 2	✓	3.915	✓	0.958
1988	chapter 9 4.4	Problem 3	✓	0.209	✓	0.355
1989	chapter 9 4.4	Problem 4	✗	189.822	✓	0.94
1990	chapter 9 4.4	Problem 5	✓	272.554	✓	1.332
1991	chapter 9 4.5	Problem 1	✓	132.333	✓	0.063
1992	chapter 9 4.5	Problem 2	✓	59.285	✓	0.204
1993	chapter 9 4.5	Problem 3	✗	180.194	✓	0.184
1994	chapter 9 4.5	Problem 4	✓	0.109	✓	0.03
1995	chapter 9 4.5	Problem 5	✓	158.848	✓	0.996
1996	chapter 9 5.1	Problem 1	✓	0.169	✓	0.092
1997	chapter 9 5.1	Problem 2	✓	0.126	✓	0.223
1998	chapter 9 5.1	Problem 3	✗	0.523	✓	0.139
1999	chapter 9 5.1	Problem 4	✗	0.27	✓	0.637
2000	chapter 9 5.1	Problem 5	✓	1.416	✓	157.

Handbook of nonlinear partial differential equations

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
2001	chapter 1 1.1	Problem 1	✗	0.361	✗	4.009
2002	chapter 1 1.1	Problem 2	✓	0.108	✓	0.241
2003	chapter 1 1.2	Problem 1	✗	0.08	✗	13.744
2004	chapter 1 1.2	Problem 2	✗	0.094	✓	0.241
2005	chapter 1 1.2	Problem 3	✗	0.182	✓	0.227
2006	chapter 1 1.2	Problem 4	✗	0.175	✓	0.357
2007	chapter 1 1.2	Problem 5	✗	0.891	✓	0.918
2008	chapter 1 1.3	Problem 1	✗	0.008	✗	0.023
2009	chapter 1 1.3	Problem 2	✗	0.009	✗	0.017
2010	chapter 1 1.3	Problem 3	✗	0.015	✗	0.044
2011	chapter 1 1.3	Problem 4	✗	0.015	✗	0.026
2012	chapter 1 1.4	Problem 1	✗	0.012	✗	0.019