1.4 Result lookup table on one web page

Miscellaneous PDE’s

Table 1.13: Miscellaneous PDE’s breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
1	General first order	Transport equation \(u_t+ u_x = 0\)	✓	0.041	✓	0.014	Yes
2	General first order	Transport equation \(u_t-3 u_x = 0\) IC \(u(0,x)=e^{-x^2}\). Peter Olver textbook, 2.2.2 (a)	✓	0.005	✓	0.061	Yes	Yes
3	General first order	Transport equation \(u_t+2 u_x = 0\) IC \(u(-1,x)=\frac {x}{1+x^2}\). Peter Olver textbook, 2.2.2 (b)	✓	0.006	✓	0.023	Yes	Yes
4	General first order	Transport equation \(u_t+u_x+\frac {1}{2}u = 0\) IC \(u(0,x)=\arctan (x)\). Peter Olver textbook, 2.2.2 (c)	✓	0.004	✓	0.047	Yes	Yes
5	General first order	Transport equation \(u_t-4u_x+u = 0\) IC \(u(0,x)=\frac {1}{1+x^2}\). Peter Olver textbook, 2.2.2 (d)	✓	0.005	✓	0.023	Yes	Yes
6	General first order	Transport equation \(u_t+2 u_x= \sin x\) IC \(u(0,x)=\sin x\). Peter Olver textbook, 2.2.5	✓	0.058	✓	0.052	Yes	Yes
7	General first order	Transport equation \(u_t+\frac {1}{1+x^2} u_x= 0\) IC \(u(x,0)=\frac {1}{1+(3+x)^2}\). Peter Olver textbook, page 27	✓	0.018	✓	0.157	Yes	Yes
8	General first order	Transport equation \(u_t-x u_x= 0\) IC \(u(x,0)=\frac {1}{1+x^2}\). Peter Olver textbook, problem 2.2.17	✓	0.005	✓	0.107	Yes	Yes
9	General first order	Transport equation \(u_t+(1-2 t) u_x= 0\) IC \(u(x,0)=\frac {1}{1+x^2}\). Peter Olver textbook, problem 2.2.29	✓	0.07	✓	0.213	Yes	Yes
10	General first order	Transport equation \(u_t+\frac {1}{x^2+4} u_x= 0\) IC \(u(x,0)=e^{x^3+12 x}\)	✓	0.015	✓	0.085	Yes	Yes
11	General first order	\(3 u_x + 5 u_y = x\)	✓	0.006	✓	0.012	Yes
12	General first order	\(x u_y + y u_x = -4 x y u\) and \(u(x,0)=e^{-x^2}\)	✓	0.023	✓	0.155	Yes
13	General first order	\(u_t + u_x = 0\) and \(u(x,0)=\sin x\) and \(u(0,t)=0\)	✓	0.104	✓	0.374	Yes
14	General first order	\(u_t+ c u_x = 0\) and \(u(x,0)=e^{-x^2}\)	✓	0.005	✓	0.026	Yes
15	General first order	(Haberman 12.2.2) \(\omega _t -3 \omega _x = 0\) and \(\omega (x,0)=\cos x\)	✓	0.004	✓	0.021	Yes
16	General first order	(Haberman 12.2.4) \(\omega _t +c \omega _x = 0\) and \(\omega (x,0)=f(x)\) and \(\omega (0,t)=h(t)\)	✗	1.669	✓ Solution contains unresolved invlaplace calls	0.432	Yes
17	General first order	(Haberman 12.2.5 (a)) \(\omega _t +c \omega _x = e^{2 x}\) and \(\omega (x,0)=f(x)\)	✓	0.042	✓	0.086	Yes
18	General first order	(Haberman 12.2.5 (d)) \(\omega _t +3 t \omega _x = \omega (x,t)\) and \(\omega (x,0)=f(x)\)	✓	0.396	✓	0.096	Yes
19	General first order	\( 2 u_x + 5 u_y = u^2(x,y) + 1\)	✓	0.138	✓	0.038	Yes
20	General first order	Clairaut equation \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\)	✓	0.055	✓	0.191	Yes
21	General first order	Clairaut equation. \(x u_x + y u_y + \frac {1}{2} ( (u_x)^2+ (u_y)^2 ) = 0\) with \(u(x,0)= \frac {1}{2} (1-x^2)\)	✓	0.01	✓	0.813
22	General first order	Clairaut equation. \(u = x u_x+ y u_y + \sin ( u_x + u_y )\)	✓	0.058	✓	0.022
23	General first order	Recover a function from its gradient vector	✓	0.026	✓	0.089
24	General first order	\(x f_y - f_x = \frac {g(x)}{h(y)} f^2\)	✓	0.049	✓	0.04	Yes
25	General first order	\(f_x + (f_y)^2 = f(x,y,z)+z\)	✓	0.107	✓	0.533
26	General first order	\(x u_x+y u_y=u\) (Example 3.5.1 in Lokenath Debnath)	✓	0.016	✓	0.011	Yes
27	General first order	\(x u_x+y u_y=n u\) Example 3.5.2 in Lokenath Debnath	✓	0.017	✓	0.01	Yes
28	General first order	\(x^2 u_x+y^2 u_y=(x+y) u\) Example 3.5.3 in Lokenath Debnath	✓	0.104	✓	0.027	Yes
29	General first order	\((y-z) u_x + (z-x) u_y + (x-y) u_z = 0\) (Example 3.5.4 in Lokenath Debnath)	✗ (Timed out)	600.	✓	2.291	Yes
30	General first order	\(u(x+y) u_x+u(x-y) u_y=x^2+y^2\) (Example 3.5.5 in Lokenath Debnath)	✓	0.382	✓	0.162	Yes
31	General first order	\(u_x-u_y=1\) with \(u(x,0)=x^2\) Example 3.5.6 in Lokenath Debnath	✓	0.004	✓	0.019
32	General first order	\(y u_x+x u_y=u\) with \(u(x,0)=x^3\) and \(u(0,y)=y^3\) Example 3.5.8 in Lokenath Debnath	✗	2.248	✗	0.545
33	General first order	\(x u_x+y u_y=x e^{-u}\) with \(u=0\) on \(y=x^2\) Example 3.5.10 in Lokenath Debnath	✓	0.123	✓	0.063
34	General first order	\(u_t+u u_x=x\) with \(u(x,0)=f(x)\) Example 3.5.11 in Lokenath Debnath.	✗	3.382	✓	0.256
35	General first order	\(u_x=0\) Problem 3.3(a) Lokenath Debnath	✓	0.004	✓	0.003
36	General first order	\(a u_x+b u_y=0\) Problem 3.3(b) Lokenath Debnath	✓	0.007	✓	0.01
37	General first order	\(u_x+y u_y=0\) Problem 3.3(c) Lokenath Debnath	✓	0.023	✓	0.011
38	General first order	\((1+x^2) u_x+ u_y=0\) Problem 3.3(d) Lokenath Debnath	✓	0.008	✓	0.01
39	General first order	\(2 x y u_x+(x^2+y^2)u_y=0\) Problem 3.3(e) Lokenath Debnath	✓	0.101	✓	0.033
40	General first order	\((y+u) u_x+y u_y=x-y\) Problem 3.3(f) Lokenath Debnath	✓	9.993	✓	0.527
41	General first order	\(y^2 u_x- x y u_y=x(u-2 y)\) Problem 3.3(g) Lokenath Debnath	✓	0.1	✓	0.038
42	General first order	\(y u_y - x u_x = 1\) Problem 3.3(h) Lokenath Debnath	✓	0.016	✓	0.009
43	General first order	\(u_x+2 x y^2 u_y=0\) Problem 3.4 Lokenath Debnath	✓	0.07	✓	0.014
44	General first order	\(3 u_x+2 u_y=0\) with \(u(x,0)=\sin x\). Problem 3.5(a) Lokenath Debnath	✓	0.004	✓	0.018
45	General first order	\(y u_x+x u_y=0\) with \(u(0,y)=e^{-y^2}\). Problem 3.5(b) Lokenath Debnath	✓	0.019	✓	0.033
46	General first order	\(x u_x+y u_y=2 x y\) with \(u=2\) on \(y=x^2\). Problem 3.5(c) Lokenath Debnath	✓	0.014	✓	0.008
47	General first order	\(u_x+x u_y=0\) with \(u(0,y)=\sin y\). Problem 3.5(d) Lokenath Debnath	✓	0.004	✓	0.021
48	General first order	\(y u_x+x u_y=x y\) with \(u(0,y)=e^{-y^2},u(x,0)=e^{-x^2}\). Problem 3.5(e) Lokenath Debnath	✗	3.612	✗	0.523
49	General first order	\(u_x+x u_y=(y-\frac {1}{2}x^2)^2\) with \(u(0,y)=e^{y}\). Problem 3.5(f) Lokenath Debnath	✓	0.01	✓	0.097
50	General first order	\(x u_x+y u_y=u+1\) with \(u=x^2\) on \(y=x^2\) Problem 3.5(g) Lokenath Debnath	✓	0.017	✓	0.01
51	General first order	\(u u_x - u u_y= u^2 + (x+y)^2\) with \(u(x,0)=1\) Problem 3.5(h) Lokenath Debnath	✓	0.046	✓	0.065
52	General first order	\(x u_x+(x+y)u_y=u+1\) with \(u(x,0)=x^2\) Problem 3.5(i) Lokenath Debnath	✓	0.026	✓	0.07
53	General first order	\(x u_x+y u_y+z u_z=0\) Problem 3.8(a) .Lokenath Debnath	✓	0.027	✓	0.014
54	General first order	\(x^2 u_x+y^2 u_y+z(x+y)u_z=0\) Problem 3.8(b) Lokenath Debnath	✓	0.045	✓	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	✓	0.035	✓	0.977
56	General first order	\(y z u_x - x z u_y+ x y (x^2+y^2) u_z=0\) Problem 3.8(d) Lokenath Debnath	✓	0.091	✓	0.068
57	General first order	\(x(y^2-z^2) u_x + y(z^2-y^2) u_y+ z (x^2-y^2) u_z=0\) Problem 3.8(e) Lokenath Debnath	✗	44.354	✗	0.255
58	General first order	\(u_x+x u_y=y\) with \(u(0,y)=y^2\) Problem 3.9(a) Lokenath Debnath	✓	0.006	✓	0.021
59	General first order	\(u_x+x u_y=y\) with \(u(1,y)=2 y\) Problem 3.9(b) Lokenath Debnath	✓	0.006	✓	0.009
60	General first order	\((u_x+u_y)^2-u^2=0\). Problem 3.10 Lokenath Debnath	✓	0.01	✓	0.017
61	General first order	\((y+u)u_x+y u_y=x-y\) with \(u(x,1)=1+x\). Problem 3.11 Lokenath Debnath	✗	20.216	✗	1.067
62	General first order	\(2 x u_x+(x+1) u_y=y\) with \(u(1,y)=2 y\). Problem 3.14(d) Lokenath Debnath	✓	0.018	✓	0.161
63	General first order	\(x u_x+y u_y=x^2+y^2\) with \(u(x,1)=x^2\). Problem 3.14(e) Lokenath Debnath	✓	0.022	✓	0.073
64	General first order	\(y^2 u_x+(x y) u_y=x\) with \(u(x,1)=x^2\). Problem 3.14(f) Lokenath Debnath	✓	0.027	✓	0.05
65	General first order	\(x u_x+y u_y=x y\) with \(u=\frac {x^2}{2}\) at \(y=x\). Problem 3.14(g) Lokenath Debnath	✓	0.018	✓	0.016
66	General first order	\(u_x+u u_y=1\) with \(u(0,y)=a y\). Problem 3.16(a) Lokenath Debnath	✓	0.081	✓	0.026
67	General first order	\((y+u)u_x+(x+u)u_y=x+y\). Problem 3.17(a) Lokenath Debnath	✗	139.518	✓	1.372
68	General first order	\(x u(u^2+x y)u_x - y u(u^2+x y) u_y = x^4\). Problem 3.17(b) Lokenath Debnath	✓	0.047	✓	0.036
69	General first order	\((x+y) u_x + (x-y)u_y =0\). Problem 3.17(c) Lokenath Debnath	✓	0.048	✓	0.052
70	General first order	\(y u_x - x u_y = e^u\) with \(u(0,y)=y^2-1\)	✓	0.14	✓	0.094	Yes
71	General first order	\(y u_x - x u_y = e^u\)	✓	0.067	✓	0.001	Yes
72	General first order	\(u_t + x u_x = 0\) with \(u(x,0)=x^2\). Math 5587	✓	0.007	✓	0.056	Yes
73	General first order	\(u_t + t u_x = 0\) with \(u(x,0)=e^x\)	✓	0.018	✓	0.202	Yes
74	General first order	\(2 u_x + 3 u_y = 1\)	✓	0.006	✓	0.009	Yes
75	General first order	\(x u_t - t u_x = 0\)	✓	0.018	✓	0.02	Yes
76	General first order	\(u_t + u_x = 0\) with \(u(x,1)=\frac {x}{1+x^2}\)	✓	0.005	✓	0.013	Yes
77	General first order	\(u_x u_y = 1\)	✓	0.002	✓	0.02	Yes
78	General first order	\(u_x u_y = u\) with \(u(x,0)=0,u(0,y)=0\)	✗	1.415	✓	0.226	Yes
79	Solved by factoring into two transport equations	\(u_{xx} + u_{xt} - 6 u_{tt} = 0\)	✓	0.03	✓	0.096	Yes
80	Solved by factoring into two transport equations	\(u_{xx} - u_{xt} - 12 u_{tt} = 0\)	✓	0.008	✓	0.276	Yes
81	Solved by factoring into two transport equations	\(u_{xx} - 3 u_{xt} - 4 u_{tt} = 0\)	✓	0.008	✓	2.616	Yes
82	Solved by factoring into two transport equations	\(u_{tt} - 2 u_{xt} - 3 u_{xx} = 0\) with \(u(0,x)=x^2, u_t(x,0)=e^x\)	✓	0.011	✓	2.259
83	Beam PDE	Beam PDE \(u_{tt} + u_{xxxx} = 0\)	✓	1.254	✓	0.205
84	Burger’s PDE	Inviscid Burgers \(u_x + u u_y = 0\)	✓ Implicit solution	0.037	✓	0.025	Yes
85	Burger’s PDE	Inviscid Burgers with I.C. \(u_x+ u u_y = 0\) and \(u(x,0)=\frac {1}{x+1}\)	✓	0.009	✓	0.039	Yes
86	Burger’s PDE	\(u_t+ u u_x = \mu u_{xx}\)	✓	0.026	✓	0.075
87	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) with IC	✓	9.278	✗	0.556
88	Burger’s PDE	\(u_t + u u_x + \mu u_{xx}\) IC as UnitBox	✓	20.599	✗	0.606
89	Black Scholes PDE	classic Black Scholes model from finance, European call version	✓	5.655	✓	0.837
90	Black Scholes PDE	Boundary value problem for the Black Scholes equation	✓	4.522	✓	2.12
91	Korteweg-deVries PDE	\(u_{xxx} + u_t -6 u u_x = 0\)	✓	0.03	✓	0.186
92	Tricomi PDE	\(u_{xx} + y u_{yy} = 0\) with \(u(x,0)=0,u_y(x,0)=x^2\)	✓	9.249	✓	3.436
93	Tricomi PDE	\(u_{xx} + x u_{yy} = 0\)	✗	0.009	✓	2.783
94	Keldysh equation	\(x u_{xx} + u_{yy} = 0\)	✗	0.007	✓	4.056
95	Euler-Poisson-Darboux equation	\(u_{xx} + u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.012	✓	0.139
96	Euler-Poisson-Darboux equation	\(u_{xx} - u_{yy} + \frac {\beta }{x} u_x = 0\)	✗	0.01	✓	0.487
97	Euler-Poisson-Darboux equation	\(u_{tt} - u_{xx} - \frac {2}{x} u_x = 0\) with \(u(x,0)=0,u_t(x,0)=g(x)\)	✗	2.637	✓	4.295
98	Chaplygin’s equation	\(u_{\theta \theta }+\frac {v^2}{1-\frac {v^2}{c^2}} u_{vv} + v u_v=0\)	✗	0.048	✓	1.266
99	Cauchy Riemann PDE’s	Cauchy Riemann PDE with Prescribe the values of \(u\) and \(v\) on the \(x\) axis	✓	0.005	✓	0.168
100	Cauchy Riemann PDE’s	Cauchy Riemann PDE With extra term on right side	✗	0.002	✓	0.07
101	Hamilton-Jacobi PDE	Hamilton-Jacobi type PDE	✗	0.051	✓	0.191
102	Airy PDE	\(u_t + u_{xxx} = 0\)	✓	0.053	✓	0.115	Yes
103	Nonlinear PDE’s	Bateman-Burgers \(u_t+u u_x = \nu u_{xx}\)	✓	0.021	✓	0.113
104	Nonlinear PDE’s	Benjamin Bona Mahony \(u_t+u_x + u u+x - u_{xxt} = 0\)	✓	0.033	✓	0.115
105	Nonlinear PDE’s	Benjamin Ono \(u_t+H u_{xx} +u u_x = 0\)	✓	0.022	✓	0.106
106	Nonlinear PDE’s	Born Infeld \((1-u_t^2) u_{xx} + 2 u_x u_t u_{xt} - (1+ u_x^2) u_{tt}=0\)	✓	0.012	✓	0.175
107	Nonlinear PDE’s	Boussinesq \(u_{tt}-u_{xx}-u_{xxxx} - 3 (u^2)_{xx} = 0\)	✓	0.043	✓	0.117
108	Nonlinear PDE’s	Boussinesq type \(u_{tt}-u_{xx}-2 \alpha (u u_x)_x - \beta u_{xxtt} = 0\)	✓	0.044	✓	0.132
109	Nonlinear PDE’s	Buckmaster \( u_t = (u^4)_{xx} + (u^3)_x\)	✗	0.108	✓ Answer in terms of RootOf.	0.704
110	Nonlinear PDE’s	Camassa Holm \(u_t + 2 k u_x - u_{xxt} + 3 u u_x = 2 u_x u_{xx}+ u u_{xxx}\)	✗	0.191	✓ Answer in terms of RootOf.	1.45
111	Nonlinear PDE’s	Chaffee Infante \(u_t = u_{xx} + \lambda (u^3 - u) = 0\)	✗	0.102	✓	0.226
112	Nonlinear PDE’s	Clarke. \(\left ( \theta _t - \gamma e^\theta \right )_{tt} = \left ( \theta _t - e^\theta \right )_{xx}\)	✗	0.013	✗	0.05
113	Nonlinear PDE’s	Degasperis Procesi \(u_t - u_{xxt} + 4 u u_x = 3 u_x u_xx + u u_{xxx}\)	✗	0.18	✓ But still has unresolved ODE’s in solution	0.621
114	Nonlinear PDE’s	Dym equation \(u_t =u^3 u_{xxx}\)	✗	0.089	✓ has RootOf	0.541
115	Nonlinear PDE’s	Estevez Mansfield Clarkson \(u_{tyyy} + \beta u_y u_{yt} + \beta u_{yy} u_t + u_{tt} = 0\)	✓	0.034	✓	0.158
116	Nonlinear PDE’s	Fisher’s \(u_t = u(1-u)+u_{xx}\)	✓	0.051	✓	0.232
117	Nonlinear PDE’s	Hunter Saxton \(\left ( u_t + u u_x) \right )_x = \frac {1}{2} (u_x)^2\)	✗	0.046	✓ with RootOf	0.123
118	Nonlinear PDE’s	Kadomtsev Petviashvili \( \left ( u_t + u u_x + \epsilon ^2 u_{xxx} \right )_x + \lambda u_{yy} = 0 \)	✓	0.066	✓	0.158
119	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ \lambda u^p=0\)	✗	0.008	✗	0.025
120	Nonlinear PDE’s	Klein Gordon \(u_{xx}+u_{yy}+ u^2=0\)	✗	0.222	✓	0.408
121	Nonlinear PDE’s	Khokhlov Zabolotskaya \(u_{x t} - (u u_x)_x = u_{yy}\)	✗	0.067	✓	0.251
122	Nonlinear PDE’s	Korteweg de Vries (KdV) \(u_t + (u_x)^3+ 6 u u_x = 0\)	✓	0.028	✓	0.115
123	Nonlinear PDE’s	Lin Tsien \(2 u_{tx} + u_x u_{xx} - u_{yy} = 0\)	✗	0.085	✓	0.277
124	Nonlinear PDE’s	Liouville \(u_{xx} + u_{yy} +e^{\lambda u} = 0\)	✗	0.008	✗	0.026
125	Nonlinear PDE’s	Plateau \((1+u_y^2)u_{xx} - 2 u_x u_y y_{xy} + (1+u_x^2) u_{yy} = 0\)	✗	0.038	✓	0.463
126	Nonlinear PDE’s	Rayleigh \(u_{tt} - u_{xx} = \epsilon (u_t - u_t^3)\)	✗	0.082	✓ Has RootOf	0.163
127	Nonlinear PDE’s	Sawada Kotera \(u_t + 45 u^2 u_x + 15 u_x u_{xx} + 15 u u_{xxx} + u_{xxxxx} = 0 \)	✓	0.085	✓	0.183
128	Nonlinear PDE’s	Sine Gordon \(\phi _{tt} - \phi _{xx} + \sin \phi = 0\)	✗	0.01	✗	0.025
129	Nonlinear PDE’s	Sinh Gordon \( u_{xt} = \sinh u\)	✗	0.01	✗	0.028
130	Nonlinear PDE’s	Sinh Poisson \(u_{xx}+u_{yy} + \sinh u=0\)	✗	0.01	✗	0.026
131	Nonlinear PDE’s	Thomas equation \( u_{xy} + \alpha u_x + \beta u_y+ \nu u_x u_y =0\)	✗	0.067	✓	0.414
132	Nonlinear PDE’s	phi equation \(\phi _{tt} - \phi _{xx} - \phi + \phi ^3 = 0\)	✓	0.045	✓	0.138
133	more miscellaneous	\(S S_{xy} + S_x S_y = 1\)	✗	0.035	✓	0.032
134	more miscellaneous	\(u_{rr} + u_{\theta \theta } = 0\)	✓	27.793	✓	0.631
135	more miscellaneous	\( u_{xx} + y u_{yy} = 0\)	✓	8.389	✓	2.995
136	more miscellaneous	\(u_t + u_{xxx} = 0\)	✓	0.174	✓	5.69
137	more miscellaneous	\(u_{xy} = \sin (x) \sin (y) \)	✓	4.171	✓	0.52
138	more miscellaneous	\(w_t = w_{x_1 x_1} + w_{x_2 x_2} + w_{x_3 x_3}\)	✓	2.84	✓	0.745
139	more miscellaneous	Linear PDE, initial conditions at \(t=t_0\)	✓	3.384	✓	0.718
140	more miscellaneous	second order in time, Linear PDE, initial conditions at \(t=t_0\)	✓	2.229	✓	2.228
141	more miscellaneous	Einstein-Weiner \(u_t = -\beta u_x + D u_{xx}\)	✓	0.05	✓	0.305
142	more miscellaneous	Using integral transforms.	✓	39.73	✓	2.523

Schrodinger PDE

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
143	1D	Logan textbook, page 30	✓	0.439	✓	0.474
144	1D	From Mathematica help pages	✓	0.653	✓	1.235
145	1D	David Griffiths, page 47	✓	30.722	✓	1.26
146	1D	David Griffiths, page 47	✓	0.597	✓	0.933
147	1D	Deep well	✓ Does not handle \(n=2\) case correctly. Division by zero	81.529	✓	6.925
148	1D	From Mathematica help pages	✓	0.008	✗ Trivial solution. Maple does not support \(\infty \) in boundary conditions	2.546
149	2D	In a square, zero potential	✓	0.614	✓	4.08
150	2D	In a square	✓	0.675	✓	4.622

Parabolic PDE’s (Diffusion)

Table 1.15: Parabolic PDE’s (Diffusion) breakdown of results. Time in seconds

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
151	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	General initial conditions	✓	87.065	✓	1.31	Yes
152	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Specific initial condition	✓	29.392	✓	0.619	Yes	Yes
153	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC \(u=x(1-x)\)	✓	32.123	✓	0.611	Yes	Yes
154	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (a)	✓	0.402	✓	3.055	Yes
155	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	IC hat function	✓	32.292	✓	1.385	Yes	Yes
156	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (b)	✓	0.963	✓	3.697	Yes
157	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (c)	✓ but \(n=3\) should be special case	94.078	✓ handled \(n=3\) case correctly.	5.432	Yes
158	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.3 (d)	✓	20.406	✓	26.013	Yes
159	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	24.972	✓	1.119	Yes
160	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	domain from -1 to +1	✓	92.53	✓	0.753	Yes	Yes
161	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (general case)	✓	71.052	✓	1.606	Yes
162	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space only (special case)	✓	59.534	✓	2.285	Yes	Yes
163	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (general case)	✓	69.6	✓	3.32	Yes
164	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	with source that depends on space and time (special case)	✓	65.981	✓	10.046	Yes	Yes
165	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Math 4567 Exam	✓	22.702	✓	1.938	Yes
166	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	With source	✓	67.131	✓	6.367
167	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	special initial condition	✓	2.675	✗ (Timed out)	600.	Yes
168	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction and Euler-Cauchy Sturm-Liouville	✓	1.479	✓	8.987
169	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Using growth form reaction term	✓	152.58	✓	0.83	Yes
170	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using logistic form for reaction term	✗	4.483	✗	27.471
171	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction, using Aleee form for reaction term	✗	7.125	✗	35.232
172	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Haberman 2.3.8	✓	94.774	✓	6.826	Yes
173	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	93.921	✓	1.482	Yes
174	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✓	0.622	✓	1.497
175	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction	✗	42.986	✓	1.147
176	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (general case)	✓	2.377	✓	2.102	Yes
177	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion convection (special case)	✓	62.434	✓	1.978	Yes	Yes
178	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.2 (general case)	✓	27.698	✓	2.112	Yes
179	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Left end zero, right end insulated, no source	✓	29.368	✓	2.041	Yes
180	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	One end insulated	✓	32.017	✓	2.24
181	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.3.7 (general case)	✓	31.697	✓	1.804	Yes
182	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	specific case	✓	10.587	✓	3.334	Yes	Yes
183	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (a)	✗ (Timed out)	600.	✓	26.393
184	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Both ends insulated, no source	✓	32.949	✓	2.065	Yes
185	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (b) (special case)	✓	1.496	✓	4.518	Yes
186	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (c) (special case)	✓	32.276	✓	6.848	Yes
187	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 2.4.1 (d)	✓	1.346	✓	4.021
188	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	both ends insulated	✓	91.714	✓	4.442
189	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	32.722	✓	3.185
190	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.25	✓	44.137	✓	8.53
191	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	external source	✓	19.439	✓	19.326
192	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction (general case)	✓	91.768	✓	0.938	Yes	Yes
193	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.23	✓	64.376	✓	31.669
194	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Pinchover and Rubinstein 6.21	✓	63.149	✓	3.556
195	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Diffusion Reaction. Euler-Cauchy Sturm-Liouville	✓	2.654	✓	26.115	Yes
196	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	convection heat loss	✓	32.75	✓	1.936	Yes
197	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Mixed BC	✓	33.604	✓	4.725
198	Diffusion in 1D Finite domain (bar), Both ends homogeneous BC	Haberman 8.2.1 (f)	✓	63.638	✓	4.279
199	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (general case)	✓	33.381	✓	4.627	Yes
200	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	left end insulated (special case)	✓	8.047	✓	1.614	Yes	Yes
201	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (general case)	✓	96.438	✓	2.418	Yes
202	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC (special case)	✓	0.01	✓	3.152	Yes
203	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	right end nonhomogeneous BC, special case	✓	12.063	✓	2.215	Yes	Yes
204	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	convection heat loss	✓	40.163	✗ (Timed out)	600.	Yes
205	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✗	2.233	✓	9.692
206	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	92.576	✓	1.904
207	Diffusion in 1D Finite domain (bar), left end homogeneous, right end not	nonhomogeneous BC	✓	44.428	✓	15.72	Yes
208	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (general case)	✓	66.568	✓	11.76	Yes
209	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	89.752	✓	15.321	Yes	Yes
210	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	left end BC depends on time (special case)	✓	88.034	✓	13.846	Yes	Yes
211	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	Haberman 8.3.6 (special case)	✓	125.302	✓	18.548	Yes	Yes
212	Diffusion in 1D Finite domain (bar), right end homogeneous, left end not	BC depends on time (special case)	✓	14.123	✓	5.8
213	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). IC given	✓	15.983	✓	10.554
214	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). No IC given	✓	0.015	✓	1.573	Yes
215	Diffusion in 1D Finite domain (bar), Periodic BC	Periodic BC (general case). Damped heat PDE. No IC given	✗	0.029	✓	1.459	Yes
216	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends non-homogeneous BC (general case)	✓	94.077	✓	4.237	Yes
217	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	non-homogeneous BC (special case)	✓	18.468	✓	2.648	Yes
218	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.1 (special case)	✓	93.164	✓	2.548	Yes
219	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (general case)	✓	83.766	✓	6.341	Yes
220	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space only (special case)	✓	124.882	✓	3.432	Yes	Yes
221	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	With source that depends on space and time only (general case)	✓	69.358	✓	9.333	Yes
222	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (general case)	✓	85.769	✓	17.345	Yes
223	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time (special case)	✓	98.168	✓	28.194	Yes	Yes
224	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	both ends nonhomogeneous	✓	63.93	✓	14.49	Yes
225	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (a) (general case)	✓	39.141	✓	6.474	Yes
226	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.1 (d) (general solution)	✓	82.22	✓	5.482	Yes
227	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on space only (general solution)	✓	117.169	✗ (Timed out)	600.	Yes
228	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on space only (special case)	✓	135.484	✓	29.86	Yes	Yes
229	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source that depends on time and space (general solution)	✓	80.197	✓	16.293	Yes
230	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Both ends depend on time with source present (special case)	✓	148.347	✓	63.454	Yes	Yes
231	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Pinchover and Rubinstein 6.17	✗	26.441	✓	11.401
232	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	nonhomogeneous BC	✓	142.061	✓	16.879
233	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Haberman 8.2.2. (a)	✓	125.581	✓	21.911	Yes
234	Diffusion in 1D Finite domain (bar), Both ends nonhomogeneous BC	Articolo 8.4.3	✓	5.558	✓	16.523
235	Diffusion in 1D Semi-infinite domain	left end constant (general case)	✓	42.075	✓	2.036	Yes
236	Diffusion in 1D Semi-infinite domain	left end constant (special case)	✓ It fail if assumption \(x>0\) is given. A bug	34.038	✓	2.772	Yes	Yes
237	Diffusion in 1D Semi-infinite domain	Logan p. 76. Left end general function of time (general case)	✓	0.578	✓	6.391	Yes
238	Diffusion in 1D Semi-infinite domain	Left end function of time (special case)	✓	60.047	✓	10.552	Yes	Yes
239	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	41.502	✓	2.204
240	Diffusion in 1D Semi-infinite domain	I.C. not zero	✓ due to IC/BC not zero	14.608	✓	2.941
241	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	47.487	✓	2.326
242	Diffusion in 1D Semi-infinite domain	nonhomogeneous BC	✓	60.072	✓	6.131
243	Diffusion in 1D Semi-infinite domain	nonhomogeneous B.C.	✓	45.447	✓	2.684
244	Diffusion in 1D Semi-infinite domain	Unit triangle I.C.	✓	35.215	✓	2.839
245	Diffusion in 1D Semi-infinite domain	I.C. not at \(t=0\)	✓	6.613	✓	4.622
246	Diffusion in 1D Semi-infinite domain	Diffusion with advection	✓	1.78	✓	4.813
247	Diffusion in 1D Semi-infinite domain	Practice exam problem	✓	60.111	✓	2.73
248	Diffusion in 1D Infinite domain	Inverse exponential I.C.	✓	18.765	✓	3.444	Yes
249	Diffusion in 1D Infinite domain	Advection term	✓	0.072	✓	2.516
250	Diffusion in 1D Infinite domain	UnitBox I.C.	✓	0.08	✓	4.32
251	Diffusion in 1D Infinite domain	No source	✓	1.586	✓	5.85
252	Diffusion in 1D Infinite domain	constant as source	✓	30.487	✓	2.873
253	Diffusion in 1D Infinite domain	No intial conditions	✓	0.004	✓	0.676	Yes
254	Diffusion in 1D Infinite domain	piecewise I.C.	✓ due to i.c. not at zero	80.483	✓	3.928	Yes
255	Diffusion in 1D Infinite domain	Practice exam problem	✓	20.46	✓	1.503
256	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	No source	✓	4.275	✓	14.339
257	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Internal source term	✓	9.849	✓	13.191
258	Diffusion in 2D Cartesian coordinates (Rectangle, Square)	Articolo 6.6.3	✓	6.824	✓	20.238
259	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (General solution)	✓	1.016	✓ Cant get series solution	51.553	Yes
260	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency, insulated (Specific solution)	✓	2.649	✓ Do not understand Maple solution	17.502	Yes	Yes
261	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	0.359	✓	1.819
262	Diffusion in 2D Polar coordinates (disk, sector, annulus)	no \(\theta \) dependency	✓	1.181	✓	1.511
263	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.3.5 (General solution)	✓	20.342	✓	5.353	Yes
264	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	2.901	✓	1.148	Yes	Yes
265	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Specific example of the above	✓	2.482	✗	1.184	Yes	Yes
266	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Inside ring	✓ \(n=1\) causs division by zero	3.69	✗ (Timed out)	600.
267	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.1	✓	3.909	✗	0.908
268	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Articolo 6.9.2	✓	4.548	✓	38.487
269	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Haberman 8.2.5 with \(\theta \) dependency (General case)	✓	380.997	✗	0.441	Yes
270	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (Specific example)	✓	8.155	✗	1.062	Yes	Yes
271	Diffusion in 2D Polar coordinates (disk, sector, annulus)	With \(\theta \) dependency (specific example)	✓	9.736	✗	28.405	Yes	Yes
272	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (General solution)	✓	5.089	✗	5.436	Yes
273	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✓	15.47	✗	9.737	Yes	Yes
274	Diffusion in 2D Polar coordinates (disk, sector, annulus)	Insulated with \(\theta \) dependency (Specific example)	✗ (Timed out)	600.	✗	9.36	Yes	Yes
275	Diffusion in 3D Spherical coordinates	No angle dependencies	✓	61.114	✓ Has unresolved Laplace integrals	3.518
276	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (a)	✓	2.161	✓	81.613	Yes	Yes
277	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (b)	✓	7.282	✗	30.911	Yes	Yes
278	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.4 (c)	✓	3.412	✗	27.302
279	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (a)	✗	0.012	✗	4.145
280	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (b)	✗	0.009	✗	4.083
281	Diffusion in 3D Cylinderical coordinates	Haberman 7.9.3 (c)	✗	0.012	✗	4.082

Elliptic PDE’s (Laplace, Poisson, Helmholtz)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
282	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge not	✓	1.631	✓	79.735	Yes
283	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, right edge not	✓	1.743	✓	8.797	Yes
284	Laplace in 2D Cartesian coordinates	Rectangle, 3 edges zero, buttom edge has impulse	✓	3.989	✓	26.447	Yes
285	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (a)	✓	0.935	✓	72.504
286	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (b)	✓	0.905	✓	83.332
287	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (c)	✓	4.763	✓	58.768
288	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (d)	✓	4.235	✓	83.677
289	Laplace in 2D Cartesian coordinates	Haberman 2.5.1 (e)	✓	20.264	✓	73.192	Yes
290	Laplace in 2D Cartesian coordinates	Unit triangle B.C.	✓	1.039	✓	18.79
291	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	3.505	✓	7.27	Yes
292	Laplace in 2D Cartesian coordinates	Top edge at infinity	✓	2.766	✓	9.875	Yes
293	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	3.464	✓	7.235	Yes
294	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	41.177	✓	41.03	Yes
295	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	2.962	✓	32.109
296	Laplace in 2D Cartesian coordinates	Laplace PDE in 2D Cartessian with boundary condition as Dirac function	✓	0.043	✓	3.511
297	Laplace in 2D Cartesian coordinates	One side homogeneous	✓	1.619	✓	51.323
298	Laplace in 2D Cartesian coordinates	In right half plane	✓	22.988	✓	4.04
299	Laplace in 2D Cartesian coordinates	Right edge at infinity	✓	5.902	✓	23.138
300	Laplace in 2D Cartesian coordinates	Dirichlet problem Upper half	✓	1.282	✓	6.671
301	Laplace in 2D Cartesian coordinates	Right half-plane	✓	22.63	✓	4.481
302	Laplace in 2D Cartesian coordinates	First quadrant	✓	14.85	✗	31.473
303	Laplace in 2D Cartesian coordinates	Neumann problem upper half-plane	✓	4.935	✓ used convert(sol,Int).	8.997
304	Laplace in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	2.225	✓	12.098
305	Laplace in 2D Cartesian coordinates	Strip in upper half	✓	60.268	✓	12.959
306	Laplace in 2D Cartesian coordinates	in Rectangle, right edge at infinity	✓	5.899	✓	19.588
307	Laplace in 2D Polar coordinates	Laplace PDE inside quarter disk, Neumann BC at edge	✓	3.591	✓	2.842
308	Laplace in 2D Polar coordinates	\(r=4\) and \(u=x^4\) at boundary of disk	✓	253.737	✓	22.021	Yes
309	Laplace in 2D Polar coordinates	\(r=1\) and \(u_r=x\) at boundary of disk	✗	2.745	✗	1.888	Yes
310	Laplace in 2D Polar coordinates	Laplace inside disk. General solution	✓	0.655	✓	11.463
311	Laplace in 2D Polar coordinates	Laplace inside disk. Specific boundary conditions	✓	3.688	✓	13.769	Yes
312	Laplace in 2D Polar coordinates	Haberman 2.5.5 (c)	✗	4.073	✓	2.611	Yes
313	Laplace in 2D Polar coordinates	semi-circle	✓	2.093	✓	2.322
314	Laplace in 2D Polar coordinates	Haberman 2.5.8 (b)	✓	9.474	✓	361.819	Yes
315	Laplace in 2D Polar coordinates	Circular annulus	✓	0.547	✓	9.499
316	Laplace in 2D Polar coordinates	Outside a disk	✓	7.343	✓	13.615
317	Laplace in 2D Polar coordinates	Outside a disk	✓	4.194	✓	15.946	Yes
318	Laplace in 3D Spherical coordinates	In a sphere	✓	0.036	✓	3.401
319	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (a)	✗	0.018	✗	3.513
320	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (b)	✗	0.015	✗	3.773
321	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (c)	✗	0.015	✗	3.813
322	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (d)	✗	0.015	✗	3.881
323	Laplace in 3D Cylinderical coordinates	Haberman 7.9.1 (e)	✗	0.014	✗	3.827
324	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (a)	✗	0.016	✗	4.865
325	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (b)	✗	0.015	✗	39.671
326	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (c)	✗	0.02	✗	53.644
327	Laplace in 3D Cylinderical coordinates	Haberman 7.9.2 (d)	✗	0.015	✗	4.81
328	Poisson in 2D Cartesian coordinates	All boundaries at zero	✗	0.02	✗	82.75	Yes
329	Poisson in 2D Cartesian coordinates	Dirichlet problem in a rectangle	✓	1.285	✓	1.599
330	Poisson in 2D Cartesian coordinates	Poisson PDE in whole 2D plane	✓	30.87	✓	0.066	Yes
331	Helmholtz in 2D Cartesian coordinates	In rectangle	✓	64.088	✓	25.968
332	Helmholtz in 2D Cartesian coordinates	On whole plane	✓ why? It solved earlier with BC?	0.004	✓	0.289
333	Helmholtz in 2D Cartesian coordinates	Reduced Helmholtz Inside square	✓	62.012	✓	26.367
334	Helmholtz in 3D Spherical coordinates	Chain reaction PDE	✗	0.123	✗ trivial solution	4.683	Yes

Hyperbolic PDE’s (Wave)

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
335	Wave PDE in 1D Finite length string	General solution for both ends fixed. Domain is \(0\dots L\)	✓	39.729	✓	26.077	Yes
336	Wave PDE in 1D Finite length string	both ends fixed, inital position zero (special case)	✓	2.745	✓	13.872	Yes	Yes
337	Wave PDE in 1D Finite length string	both ends fixed, inital velocity zero (special case)	✓	1.654	✓	10.655	Yes	Yes
338	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-\pi \dots \pi \). zero intial position, non zero initial velocity	✓	6.485	✓	60.958	Yes	Yes
339	Wave PDE in 1D Finite length string	both ends fixed but domain is \(-1 \dots 1\). intial position is an impulse, zero initial velocity	✓	0.651	✓	23.098	Yes
340	Wave PDE in 1D Finite length string	Logan book, page 28. Both ends fixed	✓	1.011	✓	2.843
341	Wave PDE in 1D Finite length string	non-zero initial velocity. Both ends fixed	✓	102.57	✓	8.794
342	Wave PDE in 1D Finite length string	Logan book page 149)	✓	22.208	✓	15.192
343	Wave PDE in 1D Finite length string	Haberman 8.5.2 (a)	✓	25.092	✓	54.316
344	Wave PDE in 1D Finite length string	Haberman 8.5.2 (b)	✓	56.658	✓	36.438	Yes
345	Wave PDE in 1D Finite length string	Both I.C. not zero	✓	26.507	✓	18.372
346	Wave PDE in 1D Finite length string	With constant source	✓	42.579	✓	30.72
347	Wave PDE in 1D Finite length string	Logan page 213	✓	4.687	✓	17.921
348	Wave PDE in 1D Finite length string	Telegraphy PDE	✓	148.548	✓	19.516
349	Wave PDE in 1D Finite length string	Dispersion term present (general case)	✓ Due to adding dispersion term	66.087	✓	25.109	Yes
350	Wave PDE in 1D Finite length string	Dispersion term present	✓ Due to adding dispersion term	154.94	✓	89.473	Yes
351	Wave PDE in 1D Finite length string	Dispersion term present (specific case)	✓ Due to adding dispersion term	158.32	✓	22.849	Yes	Yes
352	Wave PDE in 1D Finite length string	non-zero initial position	✓ But sum should not include \(n=2\)	7.67	✓ Handled \(n=2\) case correctly	75.615
353	Wave PDE in 1D Finite length string	With source	✓	11.457	✓	79.233
354	Wave PDE in 1D Finite length string	Right end free (general case)	✓	26.182	✓	34.789	Yes
355	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (general case)	✓	7.292	✓	25.612	Yes
356	Wave PDE in 1D Finite length string	Right end free, zero initial velocity (special case)	✓	90.868	✓	15.144	Yes	Yes
357	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (general case)	✓	53.247	✓	33.813	Yes
358	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, underdamped)	✓	110.821	✓	29.971	Yes	Yes
359	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, critical damped)	✓	110.575	✓	36.941	Yes	Yes
360	Wave PDE in 1D Finite length string	Right end free, zero initial velocity, damping present (special case, over damped)	✓	112.386	✓	22.824	Yes	Yes
361	Wave PDE in 1D Finite length string	I.C. at different times, right end free, with source	✗	39.847	✓	85.616	Yes
362	Wave PDE in 1D Finite length string	Right end oscillates	✓	73.611	✓	62.784
363	Wave PDE in 1D Finite length string	Perioidic B.C.	✗	2.343	✗	4.542
364	Wave PDE in 1D Finite length string	Mixed B.C.	✗	15.952	✗	5.86
365	Wave PDE in 1D Finite length string	Left end fixed, right end non-homogeneous Neumann BC. Zero initial conditions	✓	63.293	✓	29.737	Yes	Yes
366	Wave PDE in 1D Semi-infinite domain	Left end fixed, (general case)	✓	4.332	✗	5.185	Yes
367	Wave PDE in 1D Semi-infinite domain	Left end fixed with specific initial position	✓	16.204	✓	13.644	Yes
368	Wave PDE in 1D Semi-infinite domain	Logan page 115, left end fixed with source	✓	7.221	✓	5.306
369	Wave PDE in 1D Semi-infinite domain	Left moving boundary condition	✓	1.807	✓	4.509
370	Wave PDE in 1D Semi-infinite domain	moving Left end	✓	9.432	✓	6.497
371	Wave PDE in 1D Semi-infinite domain	I.C. at \(t=1\)	✓	9.345	✓	1.518
372	Wave PDE in 1D Semi-infinite domain	B.C. at \(x=1\)	✓	77.621	✓	2.819
373	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (general solution)	✓	10.585	✓	1.703
374	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial velocity (Special solution)	✓	4.216	✓	6.313	Yes	Yes
375	Wave PDE in 1D Semi-infinite domain	Left end fixed. zero initial velocity (Special solution)	✓	4.331	✓	8.789	Yes	Yes
376	Wave PDE in 1D Semi-infinite domain	Left end free. zero initial position (general solution)	✓	13.593	✓	1.712
377	Wave PDE in 1D Semi-infinite domain	Left end free. Non zero initial position and velocity (general solution)	✓	34.866	✓	1.483
378	Wave PDE in 1D Semi-infinite domain	Left end free with source	✓	1.029	✓	1.232
379	Wave PDE in 1D Infinite domain	General case. \(u_{tt} = u_{xx}\) with \(u(x,0)=f(x),u_t(x,0)=g(x)\)	✓	0.019	✓	0.69
380	Wave PDE in 1D Infinite domain	General case. No IC given. \(u_{tt} + u_{xt} = c^2 u_{xx}\)	✓	0.005	✓	0.55
381	Wave PDE in 1D Infinite domain	\(u_{tt}= c^2 u_{xx} + f(x,t)\), IC at \(t=1\),\(u(x,1) = g(x),u_t(x,1)=h(x)\)	✓	0.159	✓	6.92
382	Wave PDE in 1D Infinite domain	No source. \(u_{tt} = u_{xx}\), with \(u(x,0) =e^{-x^2},u_t(x,0)=1\)	✓	0.002	✓	0.307
383	Wave PDE in 1D Infinite domain	With source term. \(u_{tt} = u_{xx} + m\)	✓	0.01	✓	0.444
384	Wave PDE in 1D Infinite domain	non-linear (Solitons) \(u_t +6 u(x,t) u_x + u_{xxx} = 0\)	✓	0.029	✓	0.404	Yes	Yes
385	Wave PDE in 1D Infinite domain	Inhomogeneous PDE \(3 u_{xx}- u_{tt} + u_{xt}=1\)	✓	0.004	✓	0.319
386	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.032	✓	0.365
387	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	0.002	✓	0.29
388	Wave PDE in 1D Infinite domain	Practice exam problem Math 5587	✓	8.986	✓	0.491
389	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.002	✓	0.306	Yes	Yes
390	Wave PDE in 1D Infinite domain	zero initial velocity	✓	0.004	✓	4.527	Yes	Yes
391	Wave PDE in 1D Infinite domain	General case \(u_{tt} = u_{xx}\) with \(u(x,0)=\sin x, u_t(x,0)=-2 x e^{-x^2}\)	✓	0.104	✓	0.378
392	Wave PDE in 1D Infinite domain	General case. \(u_{tt} =u_{xx}\) dAlembert solution, box function as initial position	✓	0.003	✓	0.347	Yes	Yes
393	Wave PDE in 1D Infinite domain	\(u_{tt}=4 u_{xx}+ \cos (t)\) dAlembert solution with \(u(x,0)=\sin x,u_t(x,0)=\cos x\)	✓	0.101	✓	0.699	Yes	Yes
394	Wave PDE in 1D Infinite domain	\(u_{tt}=c^2 u_{xx}\) dAlembert solution with \(u(x,0)=\delta (x-a),u_t(x,0)=0\)	✓	63.765	✓	0.695	Yes
395	Wave PDE in 1D Infinite domain	system of 2 inhomogeneous linear hyperbolic system with constant coefficients	✓	0.274	✗	1.19
396	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, General solution	✗	3.116	✓	399.349	Yes
397	Wave PDE in 2D Cartesian coordinates	Rectangular membrane. Fixed on all edges, zero velocity. Specific example	✗	0.471	✓	32.39	Yes	Yes
398	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example	✓	34.18	✓	57.503	Yes	Yes
399	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, Specific example, delta in center	✓	9.562	✓	54.177	Yes	Yes
400	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed	✓	4.864	✓	32.94
401	Wave PDE in 2D Cartesian coordinates	All edges fixed (Haberman 8.5.5 (a)	✓	29.711	✗	3.128
402	Wave PDE in 2D Cartesian coordinates	2 edgs fixed, 2 free, zero initial velocity	✓	6.093	✓	63.49
403	Wave PDE in 2D Cartesian coordinates	All 4 edges fixed, zero initial velocity, general solution	✓	1.518	✗ (Timed out)	600.	Yes
404	Wave PDE in 2D Cartesian coordinates	With damping	✓	7.018	✓	88.935
405	Wave PDE in 2D Cartesian coordinates	On the whole plane	✓	0.187	✗	0.388
406	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency, fixed boundary, general case	✓	2.339	✓ Has unresolved Invlaplace calls	8.424	Yes
407	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	2.425	✓ Has unresolved Invlaplace calls	73.886
408	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Specific example. Both initial conditions not zero	✓	2.25	✓ Has unresolved Invlaplace calls. How to get series solution?	68.303	Yes	Yes
409	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✓	3.815	✓	29.343
410	Wave PDE in 2D Polar coordinates	no \(\theta \) dependency. Using integral transforms. Source present. Specific example	✗	2.47	✓	7.253
411	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, general solution	✓	10.075	✗	16.112	Yes
412	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, general solution	✓	4.977	✗	12.441	Yes
413	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial velocity, specific example	✓	15.007	✗	10.359	Yes	Yes
414	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position, specific example	✓	6.402	✗	12.831	Yes	Yes
415	Wave PDE in 2D Polar coordinates	\(\theta \) dependency, fixed on edges, zero initial position with internal source (Haberman 8.5.5. (b)	✗	0.043	✗	4.539	Yes
416	Wave PDE in 3D Spherical coordinates	No I.C. no B.C.	✓	0.042	✓	6.306
417	Wave PDE in 3D Cylindrical coordinates	No I.C. no B.C.	✓	0.006	✓	0.668

Handbook of first order partial differential equations

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
418	chapter 1	problem number 1	✓	0.006	✓	0.072
419	chapter 1	problem number 2	✓	0.004	✓	0.005
420	chapter 1	problem number 3	✓	0.017	✓	0.006	Yes
421	chapter 1	problem number 4	✓	0.016	✓	0.003
422	chapter 1	problem number 5	✓	0.034	✓	0.031	Yes
423	chapter 1	problem number 6	✓	0.031	✓	0.014
424	chapter 2 2.1	problem number 1	✓	0.007	✓	0.075	Yes
425	chapter 2 2.1	problem number 2	✓	0.01	✓	0.072	Yes
426	chapter 2 2.1	problem number 3	✓	0.055	✓	0.208	Yes
427	chapter 2 2.1	problem number 4	✓	0.021	✓	0.171	Yes
428	chapter 2 2.1	problem number 5	✓	0.025	✓	1.405	Yes
429	chapter 2 2.1	problem number 6	✓	0.051	✓	1.384	Yes
430	chapter 2 2.1	problem number 7	✓	0.059	✓	3.135	Yes
431	chapter 2 2.1	problem number 8	✗	2.391	✓	18.946
432	chapter 2 2.2	problem number 1	✓	0.009	✓	0.01
433	chapter 2 2.2	problem number 2	✓	0.251	✓	0.582
434	chapter 2 2.2	problem number 3	✓	0.112	✓	0.183
435	chapter 2 2.2	problem number 4	✓	0.392	✓	0.413
436	chapter 2 2.2	problem number 5	✓	0.51	✓	0.994
437	chapter 2 2.2	problem number 6	✓	0.335	✓	0.435
438	chapter 2 2.2	problem number 7	✓	0.363	✓	0.805
439	chapter 2 2.2	problem number 8	✓	0.529	✓	0.707
440	chapter 2 2.2	problem number 9	✓	0.31	✓	0.525
441	chapter 2 2.2	problem number 10	✓	0.173	✓	0.3
442	chapter 2 2.2	problem number 11	✓	0.323	✓	2.757
443	chapter 2 2.2	problem number 12	✓	0.837	✓	1.533
444	chapter 2 2.2	problem number 13	✓	0.113	✓	0.3
445	chapter 2 2.2	problem number 14	✓	0.276	✓	0.821
446	chapter 2 2.2	problem number 15	✓	0.724	✓	1.048
447	chapter 2 2.2	problem number 16	✓	1.586	✓	0.658
448	chapter 2 2.2	problem number 17	✓	0.987	✓	0.828
449	chapter 2 2.2	problem number 18	✓	0.276	✓	0.108
450	chapter 2 2.2	problem number 19	✓	0.299	✓	0.793
451	chapter 2 2.2	problem number 20	✗	0.24	✓	1.996
452	chapter 2 2.2	problem number 21	✓	0.205	✓	2.307
453	chapter 2 2.2	problem number 22	✓	0.347	✓	1.529
454	chapter 2 2.2	problem number 23	✓	0.442	✓	2.915
455	chapter 2 2.2	problem number 24	✗	0.321	✓	0.734
456	chapter 2 2.2	problem number 25	✗ (Timed out)	600.	✗ (Timed out)	600.
457	chapter 2 2.2	problem number 26	✗	170.56	✗	45.839
458	chapter 2 2.2	problem number 27	✗	101.608	✗	3.194
459	chapter 2 2.2	problem number 28	✗	0.529	✓ solution contains RootOf	1.436
460	chapter 2 2.2	problem number 29	✗	101.346	✗	5.214
461	chapter 2 2.2	problem number 30	✗	0.305	✓	1.639
462	chapter 2 2.2	problem number 31, Hesse’s equation	✗	236.35	✓	10.262
463	chapter 2 2.3	problem number 1	✓ But it can’t solve it when assuming \(b>0\) which is strange.	0.504	✓	3.677
464	chapter 2 2.3	problem number 2	✓	0.133	✓	0.278
465	chapter 2 2.3	problem number 3	✓	0.27	✓	2.572
466	chapter 2 2.3	problem number 4	✗	0.262	✓	5.678
467	chapter 2 2.3	problem number 5	✗	0.916	✓ Answer contains RootOf	0.536
468	chapter 2 2.3	problem number 6	✗	0.227	✓ Answer contains RootOf	0.263
469	chapter 2 2.3	problem number 7	✓	0.234	✓	0.239
470	chapter 2 2.3	problem number 8	✓	0.263	✓	4.681
471	chapter 2 2.3	problem number 9	✗ (Timed out)	600.	✓	0.102
472	chapter 2 2.4	problem number 1	✓	0.035	✓	0.214
473	chapter 2 2.4	problem number 2	✓	0.345	✓	1.645
474	chapter 2 2.4	problem number 3	✓	0.239	✓	0.843
475	chapter 2 2.4	problem number 4	✓	0.647	✓	6.135
476	chapter 2 2.4	problem number 5	✗	0.533	✗ (Timed out)	600.
477	chapter 2 2.4	problem number 6	✓	2.024	✓	1.328
478	chapter 2 2.4	problem number 7	✗	1.838	✓	65.123
479	chapter 2 2.5	problem number 1	✓	0.085	✓	0.583
480	chapter 2 2.5	problem number 2	✓	0.302	✓	1.028
481	chapter 2 2.5	problem number 3	✓	1.418	✓	0.404
482	chapter 2 2.5	problem number 4	✗	19.884	✓	4.145
483	chapter 2 2.5	problem number 5	✓	1.06	✓	4.072
484	chapter 2 2.5	problem number 6	✗	1.814	✓	9.467
485	chapter 2 2.5	problem number 7	✓	0.442	✓	0.454
486	chapter 2 2.5	problem number 8	✗	23.239	✓	12.719
487	chapter 2 2.5	problem number 9	✗	1.13	✓	20.194
488	chapter 2 2.5	problem number 10	✗	2.907	✓	17.552
489	chapter 2 2.5	problem number 11	✗	26.089	✗	25.263
490	chapter 2 2.5	problem number 12	✗	25.204	✗	21.109
491	chapter 2 2.5	problem number 13	✗	30.248	✗	39.568
492	chapter 2 2.5	problem number 14	✗	0.352	✓ Solution contains RootOf	2.879
493	chapter 2 2.5	problem number 15	✓	2.132	✓	5.063
494	chapter 2 2.5	problem number 16	✗	77.659	✗	82.583
495	chapter 2 2.5	problem number 17	✗	0.317	✓	6.927
496	chapter 2 2.5	problem number 18	✗	0.589	✓	4.42
497	chapter 2 2.5	problem number 19	✓	0.824	✓	3.761
498	chapter 2 2.5	problem number 20	✓	0.297	✓	0.898
499	chapter 2 2.5	problem number 21	✓	0.636	✓	0.808
500	chapter 2 2.5	problem number 22	✓	0.591	✓	0.391
501	chapter 2 2.5	problem number 23	✗	26.451	✓	0.487
502	chapter 2 2.5	problem number 24	✓	0.318	✓	0.325
503	chapter 2 2.5	problem number 25	✓	0.604	✓	0.282
504	chapter 2 2.5	problem number 26	✓	0.845	✓	0.533
505	chapter 2 2.5	problem number 27	✓	0.407	✓	3.769
506	chapter 2 2.5	problem number 28	✗	0.472	✓ Solution contains RootOf	4.192
507	chapter 2 2.5	problem number 29	✗	0.362	✓ Solution contains RootOf	0.744
508	chapter 2 2.5	problem number 30	✗	0.758	✓	9.119
509	chapter 2 2.5	problem number 31	✗	17.455	✓	17.864
510	chapter 2 2.5	problem number 32	✗	113.488	✗	35.89
511	chapter 2 2.5	problem number 33	✓	0.554	✓	3.592
512	chapter 2 2.5	problem number 34	✓	0.457	✓	2.213
513	chapter 2 2.5	problem number 35	✓	0.237	✓	0.764
514	chapter 2 2.5	problem number 36	✓	0.834	✓	1.009
515	chapter 2 2.5	problem number 37	✓	3.895	✓	1.892
516	chapter 2 2.5	problem number 38	✓	2.634	✓	1.227
517	chapter 2 2.5	problem number 39	✓	0.182	✓	7.199
518	chapter 2 2.5	problem number 40	✗	100.615	✗	26.251
519	chapter 2 2.5	problem number 41	✓	1.075	✓	4.981
520	chapter 2 2.5	problem number 42	✗	4.27	✓	29.642
521	chapter 2 2.5	problem number 43	✗	2.976	✓	11.045
522	chapter 2 2.5	problem number 44	✗	31.107	✗	35.803
523	chapter 2 2.5	problem number 45	✗	31.33	✗	43.207
524	chapter 2 2.5	problem number 46	✗	11.97	✓	26.704
525	chapter 2 2.5	problem number 47	✓	1.448	✓	0.553
526	chapter 2 2.5	problem number 48	✗	33.878	✓	2.402
527	chapter 2 2.5	problem number 49	✗	21.284	✗	28.604
528	chapter 2 2.5	problem number 50	✗	50.832	✗	96.439
529	chapter 2 2.5	problem number 51	✗	0.994	✓	9.535
530	chapter 2 2.5	problem number 52	✗	11.917	✗	13.929
531	chapter 2 2.5	problem number 53	✗	0.83	✓	13.071
532	chapter 2 2.5	problem number 54	✗	0.974	✗	8.801
533	chapter 2 2.5	problem number 55	✗	19.596	✗	18.898
534	chapter 2 2.5	problem number 56	✗	1.508	✓	12.736
535	chapter 2 3.1	problem number 1	✓	0.018	✓	0.113
536	chapter 2 3.1	problem number 2	✓	0.025	✓	0.012
537	chapter 2 3.1	problem number 3	✓	0.188	✓	11.577
538	chapter 2 3.1	problem number 4	✓	0.377	✓	14.391
539	chapter 2 3.1	problem number 5	✗	1.032	✓	3.809
540	chapter 2 3.1	problem number 6	✓	0.252	✓	1.342
541	chapter 2 3.1	problem number 7	✓	0.219	✓	0.115
542	chapter 2 3.1	problem number 8	✓	0.632	✓ Has RootOf	8.201
543	chapter 2 3.1	problem number 9	✓	0.489	✓	12.494
544	chapter 2 3.1	problem number 10	✗	0.628	✓	19.394
545	chapter 2 3.1	problem number 11	✗	2.551	✗	7.209
546	chapter 2 3.2	problem number 1	✓	0.79	✓	1.534
547	chapter 2 3.2	problem number 2	✓	1.35	✓	0.585
548	chapter 2 3.2	problem number 3	✓	0.635	✓	0.203
549	chapter 2 3.2	problem number 4	✓	0.619	✓	1.058
550	chapter 2 3.2	problem number 5	✓	0.38	✓	0.275
551	chapter 2 3.2	problem number 6	✗	3.073	✗	22.006
552	chapter 2 3.2	problem number 7	✓	0.576	✓	0.79
553	chapter 2 3.2	problem number 8	✗	1.058	✓	0.437
554	chapter 2 3.2	problem number 9	✓	1.715	✓	2.165
555	chapter 2 3.2	problem number 10	✓	2.077	✓	2.023
556	chapter 2 3.2	problem number 11	✗	3.642	✓	2.587
557	chapter 2 3.2	problem number 12	✓	3.518	✓	0.692
558	chapter 2 3.2	problem number 13	✓	0.759	✓	0.284
559	chapter 2 3.2	problem number 14	✗	24.211	✗	23.358
560	chapter 2 3.2	problem number 15	✗	3.011	✓	4.565
561	chapter 2 3.2	problem number 16	✗	22.997	✗	20.321
562	chapter 2 3.2	problem number 17	✗	1.802	✓	4.062
563	chapter 2 3.2	problem number 18	✗	23.199	✗	16.888
564	chapter 2 3.2	problem number 19	✓	0.563	✓	3.809
565	chapter 2 3.2	problem number 20	✗	23.217	✗	14.983
566	chapter 2 3.2	problem number 21	✗	25.11	✗	13.417
567	chapter 2 3.2	problem number 22	✓	3.188	✓	0.766
568	chapter 2 3.2	problem number 23	✓	0.806	✓	0.543
569	chapter 2 3.2	problem number 24	✗	21.752	✗	17.232
570	chapter 2 3.2	problem number 25	✓	0.489	✓	0.87
571	chapter 2 3.2	problem number 26	✓	0.605	✓	0.625
572	chapter 2 3.2	problem number 27	✗	1.106	✓ Solution contains RootOf	2.313
573	chapter 2 3.2	problem number 28	✓	0.613	✓	4.207
574	chapter 2 3.2	problem number 29	✓	0.422	✓	0.589
575	chapter 2 3.2	problem number 30	✓	4.087	✓	0.849
576	chapter 2 3.2	problem number 31	✗	48.052	✓	34.16
577	chapter 2 3.2	problem number 32	✓	0.277	✓	0.579
578	chapter 2 3.2	problem number 33	✗	0.385	✓	2.288
579	chapter 2 3.2	problem number 34	✗	1.478	✓	66.937
580	chapter 2 3.2	problem number 35	✗	1.013	✓	41.681
581	chapter 2 3.2	problem number 36	✗	1.113	✓	58.283
582	chapter 2 4.1	problem number 1	✓	0.023	✓	0.143
583	chapter 2 4.1	problem number 2	✓	0.135	✓	1.8
584	chapter 2 4.1	problem number 3	✓	3.279	✓	15.25
585	chapter 2 4.1	problem number 4	✗	45.177	✓	3.023
586	chapter 2 4.1	problem number 5	✗	66.562	✓	19.35
587	chapter 2 4.1	problem number 6	✓	0.226	✓	1.993
588	chapter 2 4.1	problem number 7	✓	0.042	✓	0.237
589	chapter 2 4.2	problem number 1	✓	0.019	✓	0.012
590	chapter 2 4.2	problem number 2	✓	0.123	✓	1.313
591	chapter 2 4.2	problem number 3	✗	70.992	✓	18.217
592	chapter 2 4.2	problem number 4	✗	71.326	✓	18.563
593	chapter 2 4.2	problem number 5	✗	1.859	✓	9.164
594	chapter 2 4.2	problem number 6	✗	3.016	✓	30.208
595	chapter 2 4.2	problem number 7	✗	468.18	✓	8.38
596	chapter 2 4.2	problem number 8	✓	0.21	✓	0.597
597	chapter 2 4.3	problem number 1	✓	0.028	✓	0.015
598	chapter 2 4.3	problem number 2	✓	0.177	✓	0.002
599	chapter 2 4.3	problem number 3	✓	3.363	✓	4.988
600	chapter 2 4.3	problem number 4	✗	45.302	✓	15.147
601	chapter 2 4.3	problem number 5	✗	2.278	✓	9.777
602	chapter 2 4.3	problem number 6	✗	4.168	✓	20.35
603	chapter 2 4.3	problem number 7	✗	77.097	✓	7.616
604	chapter 2 4.3	problem number 8	✓	0.369	✓	3.885
605	chapter 2 4.4	problem number 1	✓	0.03	✓	0.155
606	chapter 2 4.4	problem number 2	✓	0.183	✓	3.86
607	chapter 2 4.4	problem number 3	✓	3.184	✓	4.598
608	chapter 2 4.4	problem number 4	✓	19.34	✓	3.854
609	chapter 2 4.5	problem number 1	✓	0.286	✓	1.781
610	chapter 2 4.5	problem number 2	✓	0.284	✓	0.664
611	chapter 2 4.5	problem number 3	✓	2.891	✓	8.434
612	chapter 2 4.5	problem number 4	✓	29.134	✓	13.157
613	chapter 2 4.5	problem number 5	✓	0.187	✓	0.665
614	chapter 2 4.5	problem number 6	✗	570.059	✓	16.266
615	chapter 2 5.1	problem number 1	✓	0.059	✓	0.165
616	chapter 2 5.1	problem number 3	✓	1.031	✓	0.109
617	chapter 2 5.1	problem number 4	✗	3.212	✓	0.47
618	chapter 2 5.2	problem number 1	✓	0.24	✓	0.659
619	chapter 2 5.2	problem number 2	✓	0.269	✓	0.467
620	chapter 2 5.2	problem number 3	✗	1.281	✓	1.175
621	chapter 2 5.2	problem number 4	✓	1.002	✓	1.164
622	chapter 2 5.2	problem number 5	✗	23.741	✗	10.796
623	chapter 2 5.2	problem number 6	✗	27.323	✓	9.23
624	chapter 2 5.2	problem number 7	✗	27.983	✗	15.989
625	chapter 2 5.2	problem number 8	✗	24.346	✗	14.186
626	chapter 2 5.2	problem number 9	✓	0.946	✓	2.86
627	chapter 2 5.2	problem number 10	✗	3.392	✓	4.48
628	chapter 2 5.2	problem number 11	✓	0.213	✓	0.539
629	chapter 2 5.2	problem number 12	✗	20.966	✗	9.505
630	chapter 2 5.2	problem number 13	✗	23.802	✗	9.175
631	chapter 2 5.2	problem number 14	✗	22.61	✗	10.421
632	chapter 2 5.2	problem number 15	✓	0.493	✓	2.586
633	chapter 2 5.2	problem number 16	✓	0.33	✓	0.405
634	chapter 2 5.2	problem number 17	✓	1.159	✓	0.839
635	chapter 2 5.2	problem number 18	✓	0.999	✓	3.392
636	chapter 2 5.2	problem number 19	✗	4.536	✓	6.177
637	chapter 2 5.2	problem number 20	✗	4.564	✓	3.954
638	chapter 2 5.2	problem number 21	✗	26.852	✓	3.814
639	chapter 2 5.2	problem number 22	✓	0.822	✓	4.567
640	chapter 2 5.2	problem number 23	✓	0.914	✓	2.847
641	chapter 2 6.1	problem number 1	✓	0.509	✓	1.595
642	chapter 2 6.1	problem number 2	✓ contains unresolved integral	6.021	✓ contains unresolved integral	4.149
643	chapter 2 6.1	problem number 3	✓	1.451	✓ contains unresolved integral	12.66
644	chapter 2 6.1	problem number 4	✗	11.764	✓ contains unresolved integral	7.566
645	chapter 2 6.1	problem number 5	✗	42.592	✓	13.428
646	chapter 2 6.1	problem number 6	✗	7.899	✓ contains unresolved integrals	2.247
647	chapter 2 6.1	problem number 7	✓	35.897	✓	26.217
648	chapter 2 6.1	problem number 8	✗	43.048	✓	3.993
649	chapter 2 6.1	problem number 9	✗	52.577	✓	28.754
650	chapter 2 6.1	problem number 10	✗	52.538	✓	14.128
651	chapter 2 6.1	problem number 11	✗	34.799	✓	29.626
652	chapter 2 6.1	problem number 12	✗	139.86	✗ (Timed out)	600.
653	chapter 2 6.1	problem number 13	✓	0.776	✓	1.866
654	chapter 2 6.1	problem number 14	✗	13.062	✓	13.095
655	chapter 2 6.2	problem number 1	✓	0.535	✓ Contains unresolved integral	2.144
656	chapter 2 6.2	problem number 2	✓	4.001	✓	5.842
657	chapter 2 6.2	problem number 3	✓	0.851	✓	7.66
658	chapter 2 6.2	problem number 4	✗	9.586	✓	4.918
659	chapter 2 6.2	problem number 5	✗	42.269	✓	9.539
660	chapter 2 6.2	problem number 6	✗	42.767	✓	3.48
661	chapter 2 6.2	problem number 7	✗	52.386	✓	16.95
662	chapter 2 6.2	problem number 8	✗	52.58	✓	12.079
663	chapter 2 6.2	problem number 9	✗	128.153	✓	25.044
664	chapter 2 6.2	problem number 10	✗	2.122	✓	13.398
665	chapter 2 6.2	problem number 11	✗	1.706	✓	42.632
666	chapter 2 6.2	problem number 12	✗	48.913	✓	16.057
667	chapter 2 6.3	problem number 1	✓	0.051	✓	0.143
668	chapter 2 6.3	problem number 2	✓	0.443	✓	1.419
669	chapter 2 6.3	problem number 3	✓	0.931	✓ Has unresolved integrals	7.417
670	chapter 2 6.3	problem number 4	✗	43.73	✓	6.748
671	chapter 2 6.3	problem number 5	✗	46.186	✓	3.165
672	chapter 2 6.3	problem number 6	✓	2.635	✓	7.204
673	chapter 2 6.3	problem number 7	✗	37.463	✓	18.134
674	chapter 2 6.3	problem number 8	✗	43.644	✗	87.83
675	chapter 2 6.3	problem number 9	✗	161.912	✗ (Timed out)	600.
676	chapter 2 6.3	problem number 10	✓	0.818	✓	2.565
677	chapter 2 6.3	problem number 11	✗	86.969	✓	52.796
678	chapter 2 6.3	problem number 12	✗	22.291	✓	14.816
679	chapter 2 6.3	problem number 13	✗	1.958	✓	13.869
680	chapter 2 6.3	problem number 14	✗	1.86	✓	16.572
681	chapter 2 6.3	problem number 15	✗	25.118	✓	12.753
682	chapter 2 6.4	problem number 1	✓	0.428	✓ Has unresolved integral	2.391
683	chapter 2 6.4	problem number 2	✓	1.976	✓	3.04
684	chapter 2 6.4	problem number 3	✗	8.186	✓	4.599
685	chapter 2 6.4	problem number 4	✗	43.96	✓	3.522
686	chapter 2 6.4	problem number 5	✗	46.392	✓	2.895
687	chapter 2 6.4	problem number 6	✓	0.693	✓	0.95
688	chapter 2 6.4	problem number 7	✓	0.65	✓	11.699
689	chapter 2 6.4	problem number 8	✓	0.576	✓	4.912
690	chapter 2 6.4	problem number 9	✓	2.162	✓	2.5
691	chapter 2 6.4	problem number 10	✓	2.521	✓	27.569
692	chapter 2 6.4	problem number 11	✓	0.664	✓	4.846
693	chapter 2 6.4	problem number 12	✗	7.026	✓	10.77
694	chapter 2 6.5	problem number 1	✓	1.455	✓ Has unresolved integrals	4.171
695	chapter 2 6.5	problem number 2	✓	2.566	✓	2.568
696	chapter 2 6.5	problem number 3	✓	1.014	✓ Mathematica answer is simpler	5.158
697	chapter 2 6.5	problem number 4	✗	26.775	✗	140.386
698	chapter 2 6.5	problem number 5	✗	43.793	✓	4.745
699	chapter 2 6.5	problem number 6	✗	64.521	✓	4.608
700	chapter 2 6.5	problem number 7	✗	137.954	✗	162.199
701	chapter 2 6.5	problem number 8	✗	26.118	✓	5.187
702	chapter 2 6.5	problem number 9	✗	24.273	✓	0.002
703	chapter 2 6.5	problem number 10	✗	2.461	✓	12.582
704	chapter 2 6.5	problem number 11	✗ (Timed out)	600.	✓	10.393
705	chapter 2 7.1	problem number 1	✓	0.266	✓	0.542
706	chapter 2 7.1	problem number 2	✓	3.37	✓	1.281
707	chapter 2 7.1	problem number 3	✗	0.622	✓	1.933
708	chapter 2 7.1	problem number 4	✓	0.17	✓	0.816
709	chapter 2 7.1	problem number 5	✗	1.797	✓	2.717
710	chapter 2 7.1	problem number 6	✓	0.569	✓	9.601
711	chapter 2 7.1	problem number 7	✗	27.195	✓	20.897
712	chapter 2 7.1	problem number 8	✗	1.494	✓	2.534
713	chapter 2 7.1	problem number 9	✗	55.472	✗	84.036
714	chapter 2 7.1	problem number 10	✗	37.37	✗	72.918
715	chapter 2 7.1	problem number 11	✓	2.373	✓	1.064
716	chapter 2 7.1	problem number 12	✓	1.183	✓	2.67
717	chapter 2 7.2	problem number 1	✓	0.262	✓	0.423
718	chapter 2 7.2	problem number 2	✓	5.142	✓	1.151
719	chapter 2 7.2	problem number 3	✗	14.08	✓	2.323
720	chapter 2 7.2	problem number 4	✓	0.748	✓	1.302
721	chapter 2 7.2	problem number 5	✗	6.026	✓	82.866
722	chapter 2 7.2	problem number 6	✗	29.825	✗	23.073
723	chapter 2 7.2	problem number 7	✗	44.583	✓	21.085
724	chapter 2 7.2	problem number 8	✗	7.585	✓	74.218
725	chapter 2 7.2	problem number 9	✗	39.882	✗	115.308
726	chapter 2 7.2	problem number 10	✗	40.99	✗	140.156
727	chapter 2 7.2	problem number 11	✓	2.468	✓	0.19
728	chapter 2 7.2	problem number 12	✓	1.369	✓	1.005
729	chapter 2 7.3	problem number 1	✓	0.642	✓	0.185
730	chapter 2 7.3	problem number 2	✓	4.287	✓	0.271
731	chapter 2 7.3	problem number 3	✗	15.282	✓	0.457
732	chapter 2 7.3	problem number 4	✓	0.485	✓	0.441
733	chapter 2 7.3	problem number 5	✗	7.48	✓	1.876
734	chapter 2 7.3	problem number 6	✓	2.523	✓	1.246
735	chapter 2 7.3	problem number 7	✗	41.987	✓	21.22
736	chapter 2 7.3	problem number 8	✓	0.316	✓	0.283
737	chapter 2 7.3	problem number 9	✗	39.257	✗	18.052
738	chapter 2 7.3	problem number 10	✗	41.89	✗ (Timed out)	600.
739	chapter 2 7.3	problem number 11	✓	1.089	✓	0.248
740	chapter 2 7.3	problem number 12	✓	0.964	✓	2.867
741	chapter 2 7.4	problem number 1	✓	0.707	✓	0.185
742	chapter 2 7.4	problem number 2	✓	7.025	✓	0.108
743	chapter 2 7.4	problem number 3	✗	19.955	✓	0.241
744	chapter 2 7.4	problem number 4	✓	0.529	✓	0.264
745	chapter 2 7.4	problem number 5	✗	7.619	✓	2.96
746	chapter 2 7.4	problem number 6	✓	2.573	✓	1.598
747	chapter 2 7.4	problem number 7	✗	42.928	✓	15.806
748	chapter 2 7.4	problem number 8	✗	35.469	✗	10.949
749	chapter 2 7.4	problem number 9	✗	39.891	✗	37.954
750	chapter 2 7.4	problem number 10	✗	42.23	✗ (Timed out)	600.
751	chapter 2 7.4	problem number 11	✓	1.157	✓	0.303
752	chapter 2 7.4	problem number 12	✓	1.233	✓	5.337
753	chapter 2 8.1	problem number 1	✓	0.09	✓	0.043
754	chapter 2 8.1	problem number 2	✓	0.346	✓	0.175
755	chapter 2 8.1	problem number 3	✗	0.623	✓	0.097
756	chapter 2 8.1	problem number 4	✓	0.293	✓	0.095
757	chapter 2 8.1	problem number 5	✗	25.221	✓	0.725
758	chapter 2 8.1	problem number 6	✗	0.914	✓	0.094
759	chapter 2 8.1	problem number 7	✗	24.184	✗	4.
760	chapter 2 8.1	problem number 8	✗	24.355	✗	4.237
761	chapter 2 8.1	problem number 9	✗	0.935	✓	0.106
762	chapter 2 8.1	problem number 10	✗	29.421	✗	15.819
763	chapter 2 8.1	problem number 11	✗	28.257	✗	14.721
764	chapter 2 8.1	problem number 12	✓	0.332	✓	0.134
765	chapter 2 8.1	problem number 13	✓	2.764	✓	0.118
766	chapter 2 8.2	problem number 1	✓	1.293	✓	0.478
767	chapter 2 8.2	problem number 2	✗	22.078	✗	3.334
768	chapter 2 8.2	problem number 3	✗	22.098	✗	3.281
769	chapter 2 8.2	problem number 4	✓	0.371	✓	0.136
770	chapter 2 8.2	problem number 5	✗	23.931	✗	4.21
771	chapter 2 8.2	problem number 6	✗	1.325	✓	0.075
772	chapter 2 8.2	problem number 7	✗	27.019	✗	7.125
773	chapter 2 8.2	problem number 8	✗	27.676	✗	6.062
774	chapter 2 8.2	problem number 9	✗	23.978	✗	5.51
775	chapter 2 8.2	problem number 10	✓	0.406	✓	0.145
776	chapter 2 8.2	problem number 11	✗	0.379	✓	0.411
777	chapter 2 8.3	problem number 1	✗	27.419	✗	16.778
778	chapter 2 8.3	problem number 2	✗	30.495	✗	26.32
779	chapter 2 8.3	problem number 3	✗	30.23	✗	11.393
780	chapter 2 8.4	problem number 1	✗	21.998	✓	1.021
781	chapter 2 8.4	problem number 2	✗	21.251	✗	2.787
782	chapter 2 8.4	problem number 3	✗	21.308	✗	1.296
783	chapter 2 8.4	problem number 4	✓	0.218	✓	0.072
784	chapter 2 8.5	problem number 1	✗	26.857	✓	4.046
785	chapter 2 8.5	problem number 2	✗	27.224	✗	18.031
786	chapter 2 8.5	problem number 3	✗	26.978	✗	11.928
787	chapter 2 8.5	problem number 4	✗	30.477	✗	35.659
788	chapter 2 8.5	problem number 5	✗	30.782	✗	16.26
789	chapter 2 8.6	problem number 1	✗	20.865	✗	2.858
790	chapter 2 8.6	problem number 2	✗	20.974	✓	0.521
791	chapter 2 8.6	problem number 3	✓	0.157	✓	0.042
792	chapter 2 8.6	problem number 4	✗	0.467	✓	0.42
793	chapter 2 8.6	problem number 5	✗	21.303	✗	2.431
794	chapter 2 8.6	problem number 6	✗	0.327	✓	0.091
795	chapter 2 8.6	problem number 7	✗	0.365	✓	0.087
796	chapter 2 8.6	problem number 8	✓	0.307	✓	0.188
797	chapter 2 8.6	problem number 9	✗	0.739	✓	0.175
798	chapter 2 8.6	problem number 10	✗	2.176	✓	0.384
799	chapter 2 8.6	problem number 11	✓	0.402	✓	0.131
800	chapter 2 8.6	problem number 12	✗	22.786	✓	0.996
801	chapter 2 9.1	problem number 1	✓	0.085	✓	0.021
802	chapter 2 9.1	problem number 2	✗	0.174	✓	0.664
803	chapter 2 9.1	problem number 3	✗	0.492	✓	0.656
804	chapter 2 9.1	problem number 4	✗	0.896	✗	0.987
805	chapter 2 9.1	problem number 5	✗	2.84	✗	2.858
806	chapter 2 9.2	problem number 1	✗	0.249	✓	0.056
807	chapter 2 9.2	problem number 2	✗	0.075	✓	0.093
808	chapter 2 9.2	problem number 3	✗	0.421	✓	0.229
809	chapter 2 9.2	problem number 4	✗	0.302	✓	0.143
810	chapter 2 9.2	problem number 5	✗	0.643	✗	3.673
811	chapter 2 9.2	problem number 6	✗	0.384	✓	0.148
812	chapter 2 9.2	problem number 7	✗	0.541	✓	0.185
813	chapter 2 9.2	problem number 8	✗	0.277	✓	0.151
814	chapter 2 9.2	problem number 9	✗	0.33	✓	0.21
815	chapter 2 9.2	problem number 10	✗	0.707	✓	1.118
816	chapter 2 9.2	problem number 11	✗	0.383	✓	0.39
817	chapter 2 9.2	problem number 12	✗	1.58	✗	2.638
818	chapter 2 9.2	problem number 13	✗	2.448	✗	2.017
819	chapter 2 9.2	problem number 14	✗	0.948	✓	0.654
820	chapter 2 9.2	problem number 15	✗	0.394	✓	0.897
821	chapter 2 9.2	problem number 16	✗	0.549	✓	0.261
822	chapter 2 9.3	problem number 1	✗	5.542	✓	5.146
823	chapter 2 9.3	problem number 2	✗	5.032	✗	2.488
824	chapter 2 9.3	problem number 3	✗	12.836	✗	6.826
825	chapter 2 9.3	problem number 4	✗	2.368	✗	7.326
826	chapter 2 9.3	problem number 5	✗	2.381	✗	5.814
827	chapter 2 9.3	problem number 6	✗	21.883	✗	5.957
828	chapter 2 9.3	problem number 7	✗	22.518	✗	4.987
829	chapter 2 9.3	problem number 8	✗	13.073	✗	10.507
830	chapter 2 9.3	problem number 9	✓	0.099	✓	0.045
831	chapter 2 9.3	problem number 11	✗	0.374	✓	0.361
832	chapter 2 9.3	problem number 12	✗	3.816	✓	5.555
833	chapter 2 9.3	problem number 13	✗	11.445	✗	3.845
834	chapter 2 9.3	problem number 14	✗	10.882	✗	4.474
835	chapter 2 9.3	problem number 15	✗	18.075	✗	4.669
836	chapter 2 9.3	problem number 16	✗	17.671	✗	4.967
837	chapter 2 9.3	problem number 17	✗	4.549	✗	2.686
838	chapter 2 9.3	problem number 18	✗	27.723	✗	5.198
839	chapter 2 9.3	problem number 19	✗	27.244	✗	4.121
840	chapter 2 9.3	problem number 20	✗	33.462	✗	146.794
841	chapter 2 9.3	problem number 21	✗	56.284	✗	41.75
842	chapter 2 9.3	problem number 22	✗	12.608	✗	16.143
843	chapter 2 9.3	problem number 23	✗	7.763	✗	48.678
844	chapter 3 Examples	Example 1	✓	0.025	✓	0.035
845	chapter 3 Examples	Example 2	✓	0.046	✓	0.046
846	chapter 3 Examples	Example 3	✓	0.006	✓	0.01
847	chapter 3 2.1	Problem 1	✓	0.01	✓	0.011
848	chapter 3 2.1	Problem 2	✓	0.025	✓	0.018
849	chapter 3 2.1	Problem 3	✓	0.029	✓	0.019
850	chapter 3 2.1	Problem 4	✓	0.007	✓	0.009
851	chapter 3 2.1	Problem 5	✓	0.33	✓	0.064
852	chapter 3 2.1	Problem 6	✓	0.208	✓	0.163
853	chapter 3 2.1	Problem 7	✓	0.071	✓	0.046
854	chapter 3 2.1	Problem 8	✓	0.101	✓	0.029
855	chapter 3 2.2	Problem 1	✓	0.098	✓	0.022
856	chapter 3 2.2	Problem 2	✓	0.223	✓	0.037
857	chapter 3 2.2	Problem 3	✓	0.11	✓	0.03
858	chapter 3 2.2	Problem 4	✓	0.409	✓	0.048
859	chapter 3 2.2	Problem 5	✓	0.034	✓	0.027
860	chapter 3 2.2	Problem 6	✓	0.348	✓ Contains unresolved integral with RootOf	0.167
861	chapter 3 2.2	Problem 7	✓	0.216	✓	0.024
862	chapter 3 2.3	Problem 1	✓	0.028	✓	0.045
863	chapter 3 2.3	Problem 2	✓	0.169	✓	0.049
864	chapter 3 2.3	Problem 3	✓	0.177	✓	0.031
865	chapter 3 2.3	Problem 4	✓	0.616	✓	0.05
866	chapter 3 2.3	Problem 5	✓	0.024	✓	0.014
867	chapter 3 2.3	Problem 6	✓	0.124	✓	0.146
868	chapter 3 2.4	Problem 1	✓	0.138	✓	0.022
869	chapter 3 2.4	Problem 2	✓	0.056	✓	0.021
870	chapter 3 2.4	Problem 3	✓	0.032	✓	0.686
871	chapter 3 2.4	Problem 4	✓	0.046	✓	0.036
872	chapter 3 2.4	Problem 5	✓	0.074	✓ Result has unresolved integral	0.084
873	chapter 3 2.4	Problem 6	✓	0.12	✓ Result has unresolved integral	0.041
874	chapter 3 2.4	Problem 7	✓	0.883	✓ Result has unresolved integral	1.062
875	chapter 3 2.4	Problem 8	✓	2.275	✓ Result has unresolved integral	0.74
876	chapter 3 2.4	Problem 9	✓	11.096	✓	0.439
877	chapter 3 2.4	Problem 10	✗	2.18	✓	8.292
878	chapter 3 2.4	Problem 11	✓	0.56	✓	1.082
879	chapter 3 3.1	Problem 1	✓	0.077	✓	0.04
880	chapter 3 3.1	Problem 2	✓	0.063	✓	0.028
881	chapter 3 3.1	Problem 3	✓	0.275	✓	0.128
882	chapter 3 3.1	Problem 4	✓	0.293	✓	0.123
883	chapter 3 3.1	Problem 5	✓	0.598	✓	0.119
884	chapter 3 3.1	Problem 6	✓	0.735	✓	0.031
885	chapter 3 3.1	Problem 7	✓	0.832	✓	0.125
886	chapter 3 3.1	Problem 8	✗	3.641	✓	3.932
887	chapter 3 3.1	Problem 9	✗	1.273	✓	1.319
888	chapter 3 3.1	Problem 10	✓	4.836	✓	0.413
889	chapter 3 3.1	Problem 11	✓	0.649	✓	0.605
890	chapter 3 3.2	Problem 1	✓	0.197	✓	0.03
891	chapter 3 3.2	Problem 2	✓	0.034	✓	0.067
892	chapter 3 3.2	Problem 3	✓	0.096	✓	0.036
893	chapter 3 3.2	Problem 4	✓	0.61	✓	0.256
894	chapter 3 3.2	Problem 5	✓	0.93	✓	1.251
895	chapter 3 3.2	Problem 6	✓	0.052	✓	0.025
896	chapter 3 3.2	Problem 7	✓	0.055	✓	0.022
897	chapter 3 3.2	Problem 8	✓	0.44	✓	0.14
898	chapter 3 3.2	Problem 9	✓	1.596	✓	0.633
899	chapter 3 3.2	Problem 10	✓	0.4	✓	0.875
900	chapter 3 3.2	Problem 11	✓	2.969	✓	0.353
901	chapter 3 4.1	Problem 1	✓	0.12	✓	0.03
902	chapter 3 4.1	Problem 2	✓	0.118	✓	0.022
903	chapter 3 4.1	Problem 3	✗ (Timed out)	600.	✓	0.029
904	chapter 3 4.1	Problem 4	✗ (Timed out)	600.	✓	6.531
905	chapter 3 4.1	Problem 5	✓	18.042	✓	11.256
906	chapter 3 4.2	Problem 1	✓	0.117	✓	0.087
907	chapter 3 4.2	Problem 2	✓	0.116	✓	0.041
908	chapter 3 4.2	Problem 3	✓	0.402	✓	0.038
909	chapter 3 4.2	Problem 4	✗ (Timed out)	600.	✓	1.062
910	chapter 3 4.2	Problem 5	✓	172.546	✓	1.985
911	chapter 3 4.3	Problem 1	✓	0.179	✓	0.028
912	chapter 3 4.3	Problem 2	✓	0.1	✓	0.017
913	chapter 3 4.3	Problem 3	✓	0.077	✓	0.018
914	chapter 3 4.3	Problem 4	✓	594.537	✓	2.26
915	chapter 3 4.3	Problem 5	✓	239.9	✓	1.6
916	chapter 3 4.4	Problem 1	✓	0.27	✓	0.071
917	chapter 3 4.4	Problem 2	✓	0.194	✓	0.017
918	chapter 3 4.4	Problem 3	✓	0.095	✓	0.016
919	chapter 3 4.4	Problem 4	✗ (Timed out)	600.	✓	2.255
920	chapter 3 4.4	Problem 5	✓	258.728	✓	2.521
921	chapter 3 4.5	Problem 1	✓	0.123	✓	0.049
922	chapter 3 4.5	Problem 2	✓	0.267	✓	0.098
923	chapter 3 4.5	Problem 3	✓	0.108	✓	0.058
924	chapter 3 4.5	Problem 4	✓	0.191	✓	0.195
925	chapter 3 4.5	Problem 5	✓	0.175	✓	0.075
926	chapter 3 5.1	Problem 1	✓	0.099	✓	0.024
927	chapter 3 5.1	Problem 2	✓	0.03	✓	0.023
928	chapter 3 5.1	Problem 3	✓	0.321	✓	0.67
929	chapter 3 5.1	Problem 4	✓	2.119	✓	0.209
930	chapter 3 5.1	Problem 5	✓	1.284	✓	0.244
931	chapter 3 5.1	Problem 6	✗	0.336	✓	1.247
932	chapter 3 5.2	Problem 1	✓	0.118	✓	0.023
933	chapter 3 5.2	Problem 2	✓	0.326	✓ Result has unresolved integrals	0.806
934	chapter 3 5.2	Problem 3	✓	0.214	✓	0.326
935	chapter 3 5.3	Problem 4	✓	0.114	✓ Result has unresolved integrals	0.097
936	chapter 3 5.3	Problem 5	✓	0.089	✓	0.161
937	chapter 3 5.3	Problem 6	✓	1.976	✓	1.455
938	chapter 3 6.1	Problem 1	✓	0.121	✓	0.024
939	chapter 3 6.1	Problem 2	✓	0.121	✓	0.024
940	chapter 3 6.1	Problem 3	✓	0.085	✓	0.019
941	chapter 3 6.1	Problem 4	✓	253.028	✓	3.825
942	chapter 3 6.1	Problem 5	✓	105.61	✓ Result has unresolved integrals	5.837
943	chapter 3 6.2	Problem 1	✓	0.123	✓	0.077
944	chapter 3 6.2	Problem 2	✓	0.122	✓	0.042
945	chapter 3 6.2	Problem 3	✓	0.085	✓	0.037
946	chapter 3 6.2	Problem 4	✓	250.568	✓	2.164
947	chapter 3 6.2	Problem 5	✓	67.109	✓	2.97
948	chapter 3 6.3	Problem 1	✓	0.199	✓	0.028
949	chapter 3 6.3	Problem 2	✓	0.106	✓	0.018
950	chapter 3 6.3	Problem 3	✓	0.082	✓	0.014
951	chapter 3 6.3	Problem 4	✓	79.248	✓	2.963
952	chapter 3 6.3	Problem 5	✓	49.768	✓	3.656
953	chapter 3 6.4	Problem 1	✓	0.291	✓	0.074
954	chapter 3 6.4	Problem 2	✓	0.174	✓	0.02
955	chapter 3 6.4	Problem 3	✓	0.101	✓	0.02
956	chapter 3 6.4	Problem 4	✓	92.816	✓	4.015
957	chapter 3 6.4	Problem 5	✓	45.073	✓	3.298
958	chapter 3 6.5	Problem 1	✓	0.145	✓	0.063
959	chapter 3 6.5	Problem 2	✓	0.187	✓	0.068
960	chapter 3 6.5	Problem 3	✓	0.41	✓	0.042
961	chapter 3 6.5	Problem 4	✓	0.247	✓	0.412
962	chapter 3 6.5	Problem 5	✓	0.303	✓	0.649
963	chapter 3 6.5	Problem 6	✓	0.168	✓	0.21
964	chapter 3 7.1	Problem 1	✓	1.165	✓	0.071
965	chapter 3 7.1	Problem 2	✓	0.456	✓	0.075
966	chapter 3 7.1	Problem 3	✓	0.143	✓	0.024
967	chapter 3 7.1	Problem 4	✓	13.785	✓	1.725
968	chapter 3 7.1	Problem 5	✓	5.055	✓	1.04
969	chapter 3 7.2	Problem 1	✓	1.167	✓	0.022
970	chapter 3 7.2	Problem 2	✓	0.749	✓	0.016
971	chapter 3 7.2	Problem 3	✓	0.171	✓	0.017
972	chapter 3 7.2	Problem 4	✓	16.983	✓	1.386
973	chapter 3 7.2	Problem 5	✓	5.414	✓	0.824
974	chapter 3 7.3	Problem 1	✓	0.073	✓	0.195
975	chapter 3 7.3	Problem 2	✓	0.103	✓	0.134
976	chapter 3 7.3	Problem 3	✓	0.062	✓	0.047
977	chapter 3 7.3	Problem 4	✓	0.628	✓	5.161
978	chapter 3 7.3	Problem 5	✓	0.765	✓	1.393
979	chapter 3 7.4	Problem 1	✓	0.051	✓	0.048
980	chapter 3 7.4	Problem 2	✓	0.123	✓	0.026
981	chapter 3 7.4	Problem 3	✓	0.068	✓	0.035
982	chapter 3 7.4	Problem 4	✓	0.698	✓	2.495
983	chapter 3 7.4	Problem 5	✓	0.63	✓	1.138
984	chapter 3 8.1	Problem 1	✓	0.009	✓	0.017
985	chapter 3 8.1	Problem 2	✓	0.042	✓	0.028
986	chapter 3 8.1	Problem 3	✓	0.044	✓	0.026
987	chapter 3 8.1	Problem 4	✓	0.054	✓	0.096
988	chapter 3 8.1	Problem 5	✓	0.041	✓	0.037
989	chapter 3 8.1	Problem 6	✓	0.058	✓	0.018
990	chapter 3 8.1	Problem 7	✓	0.165	✓	0.087
991	chapter 3 8.1	Problem 8	✓	0.185	✓	0.044
992	chapter 3 8.1	Problem 9	✓	0.203	✓	0.028
993	chapter 3 8.1	Problem 10	✓	0.138	✓	0.013
994	chapter 3 8.1	Problem 11	✓	0.325	✓	0.328
995	chapter 3 8.1	Problem 12	✓	0.533	✓	0.215
996	chapter 3 8.1	Problem 13	✗	0.413	✓	0.522
997	chapter 3 8.1	Problem 14	✓	0.43	✓	0.217
998	chapter 3 8.1	Problem 15	✓	7.917	✓	0.441
999	chapter 3 8.1	Problem 16	✓	0.084	✓	0.022
1000	chapter 3 8.2	Problem 1	✓	0.029	✓	0.026
1001	chapter 3 8.2	Problem 2	✓	0.023	✓	0.019
1002	chapter 3 8.2	Problem 3	✓	0.098	✓	0.039
1003	chapter 3 8.2	Problem 4	✗	0.086	✓	0.068
1004	chapter 3 8.2	Problem 5	✓	0.546	✓	0.243
1005	chapter 3 8.2	Problem 6	✓	0.059	✓	0.019
1006	chapter 3 8.2	Problem 7	✗	0.175	✓	0.087
1007	chapter 3 8.3	Problem 1	✓	0.054	✓	0.032
1008	chapter 3 8.3	Problem 2	✓	0.018	✓	0.01
1009	chapter 3 8.3	Problem 3	✓	0.044	✓	0.024
1010	chapter 3 8.3	Problem 4	✓	0.072	✓	0.022
1011	chapter 3 8.3	Problem 5	✓	0.062	✓	0.182
1012	chapter 3 8.3	Problem 6	✓	0.091	✓	0.087
1013	chapter 3 8.3	Problem 7	✓	0.086	✓	0.034
1014	chapter 3 8.3	Problem 8	✓	0.266	✓	0.738
1015	chapter 3 8.4	Problem 1	✓	0.014	✓	0.018
1016	chapter 3 8.4	Problem 2	✓	0.08	✓	0.022
1017	chapter 3 8.4	Problem 3	✓	0.09	✓	0.048
1018	chapter 3 8.4	Problem 4	✓	0.252	✓	0.141
1019	chapter 3 8.4	Problem 5	✓	1.068	✓	0.318
1020	chapter 3 8.4	Problem 6	✗	0.476	✓	0.704
1021	chapter 3 8.4	Problem 7	✗	0.057	✓ Contains RootOf	0.035
1022	chapter 4 1.1	Example 1	✓	0.033	✓	0.034
1023	chapter 4 1.1	Example 2	✓	0.098	✓	0.029
1024	chapter 4 1.1	Example 3	✓	0.006	✓	0.015
1025	chapter 4 2.1	Problem 1	✓	0.007	✓	0.017
1026	chapter 4 2.1	Problem 2	✓	0.03	✓	0.017
1027	chapter 4 2.1	Problem 3	✓	0.018	✓	0.01
1028	chapter 4 2.1	Problem 4	✓	0.016	✓	0.029
1029	chapter 4 2.1	Problem 5	✓	0.018	✓	0.01
1030	chapter 4 2.1	Problem 6	✓	0.027	✓	0.013
1031	chapter 4 2.1	Problem 7	✗	0.208	✗ (Timed out)	600.
1032	chapter 4 2.2	Problem 1	✓	0.042	✓	0.059
1033	chapter 4 2.2	Problem 2	✓	0.03	✓	0.033
1034	chapter 4 2.2	Problem 3	✓	0.141	✓	0.048
1035	chapter 4 2.2	Problem 4	✓	0.16	✓	0.068
1036	chapter 4 2.2	Problem 5	✓	0.374	✓	0.093
1037	chapter 4 2.2	Problem 6	✓	0.09	✓	0.073
1038	chapter 4 2.2	Problem 7	✗	15.302	✓	1.808
1039	chapter 4 2.2	Problem 8	✗	1.921	✓	1.122
1040	chapter 4 2.3	Problem 1	✓	0.025	✓	0.05
1041	chapter 4 2.3	Problem 2	✓	0.029	✓	0.031
1042	chapter 4 2.3	Problem 3	✓	0.023	✓	0.027
1043	chapter 4 2.3	Problem 4	✓	0.148	✓	0.101
1044	chapter 4 2.3	Problem 5	✓	0.054	✓	0.186
1045	chapter 4 2.3	Problem 6	✓	0.438	✓	0.141
1046	chapter 4 2.4	Problem 1	✓	0.171	✓	0.033
1047	chapter 4 2.4	Problem 2 case \(n\neq -1, n\neq -2\)	✓	0.049	✓	0.09
1048	chapter 4 2.4	Problem 2 case \(n = -1\)	✓	0.056	✓	0.043
1049	chapter 4 2.4	Problem 2 case \(n = -2\)	✓	0.096	✓	0.043
1050	chapter 4 2.4	Problem 3	✓	0.034	✓	0.028
1051	chapter 4 2.4	Problem 4	✓	0.046	✓	0.03
1052	chapter 4 2.4	Problem 5	✓	0.073	✓	0.027
1053	chapter 4 2.4	Problem 6	✓	0.122	✓	0.037
1054	chapter 4 2.4	Problem 7	✓	1.286	✓	1.94
1055	chapter 4 2.4	Problem 8	✓	1.854	✓	0.701
1056	chapter 4 2.4	Problem 9	✓	9.395	✓	5.513
1057	chapter 4 2.4	Problem 10	✓	1.971	✓	13.451
1058	chapter 4 2.4	Problem 11	✓	0.882	✓	2.319
1059	chapter 4 2.4	Problem 12	✗	0.496	✓	0.588
1060	chapter 4 2.4	Problem 13	✗	0.495	✓	0.766
1061	chapter 4 3.1	Problem 1	✓	0.16	✓	0.032
1062	chapter 4 3.1	Problem 2	✓	0.122	✓	0.034
1063	chapter 4 3.1	Problem 3	✓	0.27	✓	0.148
1064	chapter 4 3.1	Problem 4	✓	0.371	✓	0.177
1065	chapter 4 3.1	Problem 5	✓	2.053	✓	0.414
1066	chapter 4 3.1	Problem 6	✓	8.748	✓	0.138
1067	chapter 4 3.1	Problem 7	✗	2.472	✓	4.213
1068	chapter 4 3.1	Problem 8	✗	1.294	✓	2.385
1069	chapter 4 3.1	Problem 9	✓	28.935	✓	1.352
1070	chapter 4 3.1	Problem 10	✓	0.394	✓	0.033
1071	chapter 4 3.2	Problem 1	✓	0.566	✓	0.048
1072	chapter 4 3.2	Problem 2	✓	0.075	✓	0.029
1073	chapter 4 3.2	Problem 3	✓	0.052	✓	0.026
1074	chapter 4 3.2	Problem 4	✓	0.375	✓	0.206
1075	chapter 4 3.2	Problem 5	✓	7.289	✓	0.313
1076	chapter 4 3.2	Problem 6	✓	0.402	✓	0.123
1077	chapter 4 3.2	Problem 7	✓	3.003	✓	0.066
1078	chapter 4 4.1	Problem 1	✓	0.477	✓	0.029
1079	chapter 4 4.1	Problem 2	✓	0.506	✓	0.029
1080	chapter 4 4.1	Problem 3	✓	0.364	✓	0.021
1081	chapter 4 4.1	Problem 4	✗ (Timed out)	600.	✓	0.968
1082	chapter 4 4.1	Problem 5	✓	302.342	✓	1.134
1083	chapter 4 4.2	Problem 1	✓	0.53	✓	0.022
1084	chapter 4 4.2	Problem 2	✓	0.503	✓	0.048
1085	chapter 4 4.2	Problem 3	✓	0.371	✓	0.045
1086	chapter 4 4.2	Problem 4	✗ (Timed out)	600.	✓	0.707
1087	chapter 4 4.2	Problem 5	✓	295.718	✓	0.838
1088	chapter 4 4.3	Problem 1	✓	0.192	✓	0.109
1089	chapter 4 4.3	Problem 2	✓	0.098	✓	0.119
1090	chapter 4 4.3	Problem 3	✓	0.092	✓	0.088
1091	chapter 4 4.3	Problem 4	✗ (Timed out)	600.	✓	1.175
1092	chapter 4 4.3	Problem 5	✓	233.819	✓	1.182
1093	chapter 4 4.4	Problem 1	✓	0.419	✓	0.189
1094	chapter 4 4.4	Problem 2	✓	0.247	✓	0.099
1095	chapter 4 4.4	Problem 3	✓	0.125	✓	0.084
1096	chapter 4 4.4	Problem 4	✗ (Timed out)	600.	✓	1.509
1097	chapter 4 4.4	Problem 5	✓	253.129	✓	1.35
1098	chapter 4 4.5	Problem 1	✓	0.531	✓	0.05
1099	chapter 4 4.5	Problem 2	✓	0.403	✓	0.103
1100	chapter 4 4.5	Problem 3	✓	0.165	✓	0.232
1101	chapter 4 4.5	Problem 4	✓	0.086	✓	0.045
1102	chapter 4 4.5	Problem 5	✓	0.283	✓	0.637
1103	chapter 4 4.5	Problem 6	✓	0.851	✓	0.66
1104	chapter 4 5.1	Problem 1	✓	0.105	✓	0.109
1105	chapter 4 5.1	Problem 2	✓	0.042	✓	0.057
1106	chapter 4 5.1	Problem 3	✓	1.812	✓	0.145
1107	chapter 4 5.1	Problem 4	✓	1.118	✓	0.284
1108	chapter 4 5.1	Problem 5	✓	0.275	✓	0.408
1109	chapter 4 5.1	Problem 6	✗	0.354	✓	1.359
1110	chapter 4 5.2	Problem 1	✓	0.24	✓	1.598
1111	chapter 4 5.2	Problem 2	✓	0.639	✓	0.443
1112	chapter 4 5.2	Problem 3	✓	0.225	✓	0.031
1113	chapter 4 5.2	Problem 4	✓	0.128	✓	0.06
1114	chapter 4 5.2	Problem 5	✓	0.077	✓	0.29
1115	chapter 4 5.2	Problem 6	✓	2.027	✓	8.379
1116	chapter 4 6.1	Problem 1	✓	0.511	✓	0.035
1117	chapter 4 6.1	Problem 2	✓	0.292	✓	0.027
1118	chapter 4 6.1	Problem 3	✓	0.313	✓	0.06
1119	chapter 4 6.1	Problem 4	✓	271.861	✓	2.815
1120	chapter 4 6.1	Problem 5	✓	101.833	✓	2.573
1121	chapter 4 6.2	Problem 1	✓	0.521	✓	0.062
1122	chapter 4 6.2	Problem 2	✓	0.529	✓	0.08
1123	chapter 4 6.2	Problem 3	✓	0.384	✓	0.018
1124	chapter 4 6.2	Problem 4	✓	256.13	✓	1.473
1125	chapter 4 6.2	Problem 5	✓	67.56	✓	1.661
1126	chapter 4 6.3	Problem 1	✓	0.107	✓	0.061
1127	chapter 4 6.3	Problem 2	✓	0.225	✓	0.076
1128	chapter 4 6.3	Problem 3	✓	0.094	✓	0.049
1129	chapter 4 6.3	Problem 4	✓	82.986	✓	1.555
1130	chapter 4 6.3	Problem 5	✓	48.24	✓	1.48
1131	chapter 4 6.4	Problem 1	✓	0.261	✓	0.052
1132	chapter 4 6.4	Problem 2	✓	0.461	✓	0.121
1133	chapter 4 6.4	Problem 3	✓	0.136	✓	0.041
1134	chapter 4 6.4	Problem 4	✓	101.762	✓	1.957
1135	chapter 4 6.4	Problem 5	✓	46.034	✓	1.8
1136	chapter 4 6.5	Problem 1	✓	0.215	✓	0.063
1137	chapter 4 6.5	Problem 2	✓	0.084	✓	0.108
1138	chapter 4 6.5	Problem 3	✓	0.203	✓	0.414
1139	chapter 4 6.5	Problem 4	✓	0.226	✓	0.756
1140	chapter 4 6.5	Problem 5	✓	0.825	✓	0.394
1141	chapter 4 6.5	Problem 6	✓	0.21	✓	0.404
1142	chapter 4 7.1	Problem 1	✓	1.189	✓	0.072
1143	chapter 4 7.1	Problem 2	✓	0.432	✓	0.078
1144	chapter 4 7.1	Problem 3	✓	0.499	✓	0.059
1145	chapter 4 7.1	Problem 4	✓	0.185	✓	5.972
1146	chapter 4 7.1	Problem 5	✓	5.091	✓	4.364
1147	chapter 4 7.2	Problem 1	✓	1.38	✓	0.039
1148	chapter 4 7.2	Problem 2	✓	0.767	✓	0.03
1149	chapter 4 7.2	Problem 3	✓	0.741	✓	0.041
1150	chapter 4 7.2	Problem 4	✓	0.206	✓	4.49
1151	chapter 4 7.2	Problem 5	✓	0.661	✓	4.661
1152	chapter 4 7.3	Problem 1	✓	0.167	✓	0.179
1153	chapter 4 7.3	Problem 2	✓	0.112	✓	0.144
1154	chapter 4 7.3	Problem 3	✓	0.431	✓	0.168
1155	chapter 4 7.3	Problem 4	✓	0.259	✓	1.363
1156	chapter 4 7.3	Problem 5	✓	0.7	✓	2.472
1157	chapter 4 7.4	Problem 1	✓	0.147	✓	0.136
1158	chapter 4 7.4	Problem 2	✓	0.129	✓	0.091
1159	chapter 4 7.4	Problem 3	✓	0.345	✓	0.148
1160	chapter 4 7.4	Problem 4	✓	0.27	✓	1.17
1161	chapter 4 7.4	Problem 5	✓	0.726	✓	1.194
1162	chapter 4 8.1	Problem 1	✓	0.01	✓	0.018
1163	chapter 4 8.1	Problem 2	✓	0.051	✓	0.025
1164	chapter 4 8.1	Problem 3	✓	0.055	✓	0.016
1165	chapter 4 8.1	Problem 4	✓	0.064	✓	0.026
1166	chapter 4 8.1	Problem 5	✓	0.05	✓	0.03
1167	chapter 4 8.1	Problem 6	✓	0.06	✓	0.016
1168	chapter 4 8.1	Problem 7	✓	0.201	✓	0.05
1169	chapter 4 8.1	Problem 8	✓	0.191	✓	0.062
1170	chapter 4 8.1	Problem 9	✓	0.271	✓	0.062
1171	chapter 4 8.1	Problem 10	✓	0.142	✓	0.042
1172	chapter 4 8.1	Problem 11	✓	0.426	✓	0.121
1173	chapter 4 8.1	Problem 12	✓	0.562	✓	0.239
1174	chapter 4 8.1	Problem 13	✗	24.023	✗	5.972
1175	chapter 4 8.1	Problem 14	✓	0.457	✓	0.096
1176	chapter 4 8.1	Problem 15	✓	0.3	✓	0.162
1177	chapter 4 8.2	Problem 1	✓	0.036	✓	0.027
1178	chapter 4 8.2	Problem 2	✓	0.027	✓	0.023
1179	chapter 4 8.2	Problem 3	✓	0.117	✓	0.023
1180	chapter 4 8.2	Problem 4	✗	0.087	✓ contains RootOf	0.047
1181	chapter 4 8.2	Problem 5	✗	22.018	✗	2.423
1182	chapter 4 8.2	Problem 6	✗	0.194	✓ has RootOf	0.097
1183	chapter 4 8.2	Problem 7	✗	0.054	✓ has RootOf	0.042
1184	chapter 4 8.3	Problem 1	✓	0.059	✓	0.031
1185	chapter 4 8.3	Problem 2	✓	0.018	✓	0.02
1186	chapter 4 8.3	Problem 3	✓	0.05	✓	0.02
1187	chapter 4 8.3	Problem 4	✓	0.148	✓	0.313
1188	chapter 4 8.3	Problem 5	✓	0.135	✓	0.038
1189	chapter 4 8.3	Problem 6	✓	0.097	✓	0.033
1190	chapter 4 8.3	Problem 7	✓	0.082	✓	1.953
1191	chapter 4 8.4	Problem 1	✓	0.019	✓	0.013
1192	chapter 4 8.4	Problem 2	✓	0.085	✓	0.015
1193	chapter 4 8.4	Problem 3	✓	0.096	✓	0.021
1194	chapter 4 8.4	Problem 4	✓	0.274	✓	0.028
1195	chapter 4 8.4	Problem 5	✓	1.128	✓	0.267
1196	chapter 4 8.4	Problem 6	✗	24.	✗	5.206
1197	chapter 4 8.4	Problem 7	✗	0.171	✓ has RootOf	0.092
1198	chapter 5 2.1	Problem 1	✓	0.018	✓	0.026
1199	chapter 5 2.1	Problem 2	✓	0.031	✓	0.02
1200	chapter 5 2.1	Problem 3	✓	0.054	✓	0.042
1201	chapter 5 2.1	Problem 4	✓	0.061	✓	0.024
1202	chapter 5 2.1	Problem 5	✓	0.401	✓	0.065
1203	chapter 5 2.1	Problem 6	✓	0.106	✓	0.064
1204	chapter 5 2.1	Problem 7	✓	17.124	✗ (Timed out)	600.
1205	chapter 5 2.1	Problem 8	✓	31.619	✓	0.798
1206	chapter 5 2.2	Problem 1	✓	0.124	✓	0.042
1207	chapter 5 2.2	Problem 2	✓	0.152	✓	0.034
1208	chapter 5 2.2	Problem 3	✓	0.024	✓	0.029
1209	chapter 5 2.2	Problem 4	✓	0.28	✓	0.052
1210	chapter 5 2.2	Problem 5	✗ (Timed out)	600.	✓	24.969
1211	chapter 5 2.2	Problem 6	✗ (Timed out)	600.	✓	7.573
1212	chapter 5 2.2	Problem 7	✗	42.095	✓	0.978
1213	chapter 5 2.2	Problem 8	✗	26.308	✓	28.928
1214	chapter 5 2.3	Problem 1	✓	0.385	✓	0.287
1215	chapter 5 2.3	Problem 2	✓	0.78	✓	0.087
1216	chapter 5 2.3	Problem 3	✓	7.766	✓	0.153
1217	chapter 5 2.3	Problem 4	✓	7.196	✓	0.003
1218	chapter 5 2.3	Problem 5	✓	0.546	✓	0.657
1219	chapter 5 2.3	Problem 6	✓	0.164	✓	0.162
1220	chapter 5 2.3	Problem 7	✓	6.978	✓ contains RootOf	0.66
1221	chapter 5 2.4	Problem 1	✓	0.602	✓	0.361
1222	chapter 5 2.4	Problem 2	✓	0.148	✓	0.124
1223	chapter 5 2.4	Problem 3	✓	0.05	✓	0.168
1224	chapter 5 2.4	Problem 4	✓	0.276	✓	0.108
1225	chapter 5 2.4	Problem 5	✓	0.823	✓	0.96
1226	chapter 5 2.4	Problem 6	✓	0.689	✓	0.969
1227	chapter 5 2.4	Problem 7	✓	0.294	✓	0.178
1228	chapter 5 2.4	Problem 8	✓	0.27	✓	0.143
1229	chapter 5 2.4	Problem 9	✓	14.178	✓	7.115
1230	chapter 5 2.4	Problem 10	✓	11.411	✓	3.049
1231	chapter 5 2.4	Problem 11	✓	4.944	✓	3.011
1232	chapter 5 2.4	Problem 12	✓	11.665	✓	1.314
1233	chapter 5 3.1	Problem 1	✓	1.353	✓	0.26
1234	chapter 5 3.1	Problem 2	✓	2.624	✓	0.321
1235	chapter 5 3.1	Problem 3	✓	6.684	✓	0.497
1236	chapter 5 3.1	Problem 4	✗	2.461	✓	4.126
1237	chapter 5 3.1	Problem 5	✗	1.387	✓	2.312
1238	chapter 5 3.1	Problem 6	✓	21.404	✓	0.937
1239	chapter 5 3.1	Problem 7	✓	0.299	✓	0.085
1240	chapter 5 3.1	Problem 8	✓	0.323	✓	0.177
1241	chapter 5 3.2	Problem 1	✓	0.175	✓	0.134
1242	chapter 5 3.2	Problem 2	✓	0.152	✓	0.066
1243	chapter 5 3.2	Problem 3	✓	0.129	✓	0.063
1244	chapter 5 3.2	Problem 4	✓	0.784	✓	1.153
1245	chapter 5 3.2	Problem 5	✓	1.132	✓	0.266
1246	chapter 5 3.2	Problem 6	✓	0.487	✓	0.146
1247	chapter 5 3.2	Problem 7	✓	18.178	✓	0.471
1248	chapter 5 3.2	Problem 8	✓	0.093	✓	0.035
1249	chapter 5 3.2	Problem 9	✓	1.949	✓	0.759
1250	chapter 5 3.2	Problem 10	✓	2.74	✓	0.248
1251	chapter 5 4.1	Problem 1	✓	9.64	✓	15.043
1252	chapter 5 4.1	Problem 2	✓	264.178	✓	0.309
1253	chapter 5 4.1	Problem 3	✓	87.53	✓	9.376
1254	chapter 5 4.1	Problem 4	✓	7.773	✓	6.78
1255	chapter 5 4.1	Problem 5	✓	1.005	✓	1.606
1256	chapter 5 4.2	Problem 1	✓	9.499	✓	12.51
1257	chapter 5 4.2	Problem 2	✓	136.622	✓	0.337
1258	chapter 5 4.2	Problem 3	✓	88.731	✓	6.861
1259	chapter 5 4.2	Problem 4	✓	0.153	✓	0.203
1260	chapter 5 4.2	Problem 5	✓	4.524	✓	5.384
1261	chapter 5 4.2	Problem 6	✓	2.323	✓	1.643
1262	chapter 5 4.3	Problem 1	✓	10.86	✓	1.682
1263	chapter 5 4.3	Problem 2	✓	89.795	✓	0.374
1264	chapter 5 4.3	Problem 3	✗ (Timed out)	600.	✓	2.931
1265	chapter 5 4.3	Problem 4	✓	5.212	✓	4.151
1266	chapter 5 4.3	Problem 5	✓	1.848	✓	1.918
1267	chapter 5 4.4	Problem 1	✓	10.633	✓	1.704
1268	chapter 5 4.4	Problem 2	✓	85.498	✓	0.376
1269	chapter 5 4.4	Problem 3	✗ (Timed out)	600.	✓	3.115
1270	chapter 5 4.4	Problem 4	✓	5.308	✓	2.582
1271	chapter 5 4.4	Problem 5	✓	1.837	✓	2.072
1272	chapter 5 4.5	Problem 1	✓	15.996	✓	13.503
1273	chapter 5 4.5	Problem 2	✓	7.952	✓	10.404
1274	chapter 5 4.5	Problem 3	✓	0.447	✓	2.831
1275	chapter 5 4.5	Problem 4	✓	15.191	✓	1.453
1276	chapter 5 4.5	Problem 5	✓	4.712	✓	9.763
1277	chapter 5 4.5	Problem 6	✓	4.721	✓	5.203
1278	chapter 5 5.1	Problem 1	✓	0.345	✓	0.707
1279	chapter 5 5.1	Problem 2	✓	0.083	✓	0.115
1280	chapter 5 5.1	Problem 3	✓	1.227	✓	1.575
1281	chapter 5 5.1	Problem 4	✗	0.136	✓	0.434
1282	chapter 5 5.1	Problem 5	✓	0.55	✓	287.069
1283	chapter 5 5.1	Problem 6	✓	0.409	✓	345.013
1284	chapter 5 5.2	Problem 1	✓	0.746	✓	0.308
1285	chapter 5 5.2	Problem 2	✓	0.64	✓	0.367
1286	chapter 5 5.2	Problem 3	✓	0.324	✓	0.261
1287	chapter 5 5.2	Problem 4	✓	0.602	✓	0.278
1288	chapter 5 5.2	Problem 5	✓	0.276	✓	0.477
1289	chapter 5 5.2	Problem 6	✓	11.053	✓	0.669
1290	chapter 5 5.2	Problem 7	✓	1.979	✓	2.164
1291	chapter 5 6.1	Problem 1	✓	0.566	✓	0.073
1292	chapter 5 6.1	Problem 2	✓	16.044	✓	26.003
1293	chapter 5 6.1	Problem 3	✓	3.594	✓	19.74
1294	chapter 5 6.1	Problem 4	✓	2.129	✓	0.353
1295	chapter 5 6.1	Problem 5	✓	7.328	✓	0.614
1296	chapter 5 6.1	Problem 6	✓	2.055	✓	24.011
1297	chapter 5 6.1	Problem 7	✓	1.213	✓	9.985
1298	chapter 5 6.2	Problem 1	✓	0.568	✓	0.116
1299	chapter 5 6.2	Problem 2	✓	16.385	✓	14.038
1300	chapter 5 6.2	Problem 3	✓	3.573	✓	15.254
1301	chapter 5 6.2	Problem 4	✓	1.64	✓	0.467
1302	chapter 5 6.2	Problem 5	✓	7.608	✓	0.495
1303	chapter 5 6.2	Problem 6	✓	1.993	✓	12.414
1304	chapter 5 6.3	Problem 1	✓	2.497	✓	0.316
1305	chapter 5 6.3	Problem 2	✓	5.608	✓	15.577
1306	chapter 5 6.3	Problem 3	✓	2.858	✓	2.202
1307	chapter 5 6.3	Problem 4	✓	1.618	✓	2.228
1308	chapter 5 6.3	Problem 5	✓	5.965	✓	0.313
1309	chapter 5 6.3	Problem 6	✓	2.179	✓	12.162
1310	chapter 5 6.3	Problem 7	✓	1.853	✓	13.111
1311	chapter 5 6.4	Problem 1	✓	5.559	✓	0.408
1312	chapter 5 6.4	Problem 2	✓	5.877	✓	15.57
1313	chapter 5 6.4	Problem 3	✓	2.643	✓	1.786
1314	chapter 5 6.4	Problem 4	✓	2.353	✓	9.452
1315	chapter 5 6.4	Problem 5	✓	7.523	✓	0.386
1316	chapter 5 6.4	Problem 6	✓	2.176	✓	11.63
1317	chapter 5 6.4	Problem 7	✓	1.822	✓	17.109
1318	chapter 5 6.5	Problem 1	✓	16.127	✓	19.672
1319	chapter 5 6.5	Problem 2	✓	3.306	✓	14.758
1320	chapter 5 6.5	Problem 3	✓	1.43	✓	0.918
1321	chapter 5 6.5	Problem 4	✓	1.867	✓	0.194
1322	chapter 5 6.5	Problem 5	✓	2.521	✓	2.233
1323	chapter 5 6.5	Problem 6	✓	1.97	✓	17.309
1324	chapter 5 6.5	Problem 7	✓	1.948	✓	2.207
1325	chapter 5 7.1	Problem 1	✓	1.315	✓	0.816
1326	chapter 5 7.1	Problem 2	✓	1.619	✓	0.097
1327	chapter 5 7.1	Problem 3	✓	5.044	✓	0.72
1328	chapter 5 7.1	Problem 4	✓	12.069	✓	7.008
1329	chapter 5 7.1	Problem 5	✓	7.039	✓	5.642
1330	chapter 5 7.2	Problem 1	✓	1.659	✓	0.24
1331	chapter 5 7.2	Problem 2	✓	1.703	✓	0.051
1332	chapter 5 7.2	Problem 3	✓	8.026	✓	0.234
1333	chapter 5 7.2	Problem 4	✓	1.821	✓	5.026
1334	chapter 5 7.2	Problem 5	✓	0.364	✓	10.01
1335	chapter 5 7.3	Problem 1	✓	2.557	✓	1.009
1336	chapter 5 7.3	Problem 2	✓	1.902	✓	304.002
1337	chapter 5 7.3	Problem 3	✓	4.021	✓	11.917
1338	chapter 5 7.3	Problem 4	✓	0.437	✓	2.773
1339	chapter 5 7.3	Problem 5	✓	0.425	✓	2.117
1340	chapter 5 7.4	Problem 1	✓	2.761	✓	0.732
1341	chapter 5 7.4	Problem 2	✓	1.934	✓	541.511
1342	chapter 5 7.4	Problem 3	✓	4.933	✓	15.874
1343	chapter 5 7.4	Problem 4	✓	0.462	✓	2.356
1344	chapter 5 7.4	Problem 5	✓	0.434	✓	1.76
1345	chapter 5 8.1	Problem 1	✓	0.036	✓	0.036
1346	chapter 5 8.1	Problem 2	✓	0.148	✓	0.087
1347	chapter 5 8.1	Problem 3	✓	0.151	✓	0.092
1348	chapter 5 8.1	Problem 4	✓	0.078	✓	0.042
1349	chapter 5 8.1	Problem 5	✓	0.147	✓	0.099
1350	chapter 5 8.1	Problem 6	✓	0.059	✓	0.027
1351	chapter 5 8.1	Problem 7	✓	0.22	✓	0.036
1352	chapter 5 8.1	Problem 8	✓	0.242	✓	0.293
1353	chapter 5 8.1	Problem 9	✓	1.638	✓	0.555
1354	chapter 5 8.1	Problem 10	✗	0.477	✓	0.758
1355	chapter 5 8.1	Problem 11	✓	1.17	✓	0.63
1356	chapter 5 8.1	Problem 12	✓	0.653	✓	0.368
1357	chapter 5 8.2	Problem 1	✓	0.042	✓	0.03
1358	chapter 5 8.2	Problem 2	✓	0.184	✓	0.055
1359	chapter 5 8.2	Problem 3	✓	0.042	✓	0.02
1360	chapter 5 8.2	Problem 4	✓	0.2	✓	0.066
1361	chapter 5 8.2	Problem 5	✓	0.112	✓	0.028
1362	chapter 5 8.2	Problem 6	✗	0.085	✓	0.122
1363	chapter 5 8.3	Problem 1	✓	0.066	✓	0.037
1364	chapter 5 8.3	Problem 2	✓	0.272	✓	0.054
1365	chapter 5 8.3	Problem 3	✓	0.156	✓	0.132
1366	chapter 5 8.3	Problem 4	✓	0.81	✓	0.716
1367	chapter 5 8.3	Problem 5	✗ (Timed out)	600.	✓	0.812
1368	chapter 5 8.3	Problem 6	✗	23.902	✗	1.987
1369	chapter 6 2.1	Problem 1	✓	0.01	✓	0.015	Yes
1370	chapter 6 2.1	Problem 2	✓	0.009	✓	0.038	Yes
1371	chapter 6 2.1	Problem 3	✓	0.052	✓	0.077	Yes
1372	chapter 6 2.1	Problem 4	✓	0.118	✓	0.44	Yes
1373	chapter 6 2.1	Problem 5	✓	0.034	✓	0.038
1374	chapter 6 2.1	Problem 6	✓	0.116	✓	0.081
1375	chapter 6 2.1	Problem 7	✓	0.08	✓	0.126
1376	chapter 6 2.1	Problem 8	✗	0.03	✓	0.024
1377	chapter 6 2.1	Problem 9	✓	0.114	✓	0.945
1378	chapter 6 2.1	Problem 10	✓	0.187	✓	0.331
1379	chapter 6 2.1	Problem 11	✗	6.786	✗	9.029
1380	chapter 6 2.1	Problem 12	✗	3.183	✗	0.211
1381	chapter 6 2.1	Problem 13	✓	0.04	✓	0.037
1382	chapter 6 2.1	Problem 14	✗ (Timed out)	600.	✗	1.641
1383	chapter 6 2.1	Problem 15	✗ (Timed out)	600.	✓	10.456
1384	chapter 6 2.1	Problem 16	✗ (Timed out)	600.	✓	7.488
1385	chapter 6 2.1	Problem 17	✗ (Timed out)	600.	✗	5.398
1386	chapter 6 2.1	Problem 18	✗ (Timed out)	600.	✗	4.928
1387	chapter 6 2.1	Problem 19	✗	1.955	✗	0.493
1388	chapter 6 2.1	Problem 20	✗	232.487	✗	0.615
1389	chapter 6 2.1	Problem 21	✗	0.079	✗	0.645
1390	chapter 6 2.2	Problem 1	✓	0.299	✓	0.257
1391	chapter 6 2.2	Problem 2	✓	0.193	✓	0.124
1392	chapter 6 2.2	Problem 3	✗ (Timed out)	600.	✓	1.585
1393	chapter 6 2.2	Problem 4	✓	0.592	✓	0.26
1394	chapter 6 2.2	Problem 5	✓	0.04	✓	0.34
1395	chapter 6 2.2	Problem 6	✓	0.035	✓	0.025
1396	chapter 6 2.2	Problem 7	✓	0.024	✓	0.037
1397	chapter 6 2.2	Problem 8	✓	0.035	✓	0.02
1398	chapter 6 2.2	Problem 9	✓	0.209	✓	0.069
1399	chapter 6 2.2	Problem 10	✓	0.036	✓	0.019
1400	chapter 6 2.2	Problem 11	✓	0.148	✓	0.35
1401	chapter 6 2.2	Problem 12	✓	0.011	✓	0.481
1402	chapter 6 2.2	Problem 13	✓	0.033	✓	0.046
1403	chapter 6 2.2	Problem 14	✓	0.132	✓	0.057
1404	chapter 6 2.2	Problem 15	✓	0.044	✓	0.034
1405	chapter 6 2.2	Problem 16	✓	0.034	✓	0.342
1406	chapter 6 2.2	Problem 17	✓	0.039	✓	0.289
1407	chapter 6 2.2	Problem 18	✓	0.039	✓	0.046
1408	chapter 6 2.2	Problem 19	✓	0.062	✓	0.439
1409	chapter 6 2.2	Problem 20	✓	0.039	✓	0.042
1410	chapter 6 2.2	Problem 21	✓	0.048	✓	0.061
1411	chapter 6 2.2	Problem 22	✓	0.044	✗	1.808
1412	chapter 6 2.2	Problem 23	✗	8.855	✓	3.729
1413	chapter 6 2.2	Problem 24	✓	0.081	✓	1.857
1414	chapter 6 2.2	Problem 25	✓	0.579	✓	1.786
1415	chapter 6 2.2	Problem 26	✗	132.127	✗	0.354
1416	chapter 6 2.2	Problem 27	✗	0.791	✓	3.745
1417	chapter 6 2.2	Problem 28	✓	1.758	✓	0.582
1418	chapter 6 2.2	Problem 29	✗	0.444	✗	1.571
1419	chapter 6 2.3	Problem 1	✗	92.531	✗	0.366
1420	chapter 6 2.3	Problem 2	✓	0.082	✓	0.092
1421	chapter 6 2.3	Problem 3	✓	0.03	✓	0.45
1422	chapter 6 2.3	Problem 4	✗	0.025	✓	1.359
1423	chapter 6 2.3	Problem 5	✗	32.48	✗	0.351
1424	chapter 6 2.3	Problem 6	✗	0.527	✓	3.068
1425	chapter 6 2.3	Problem 7	✗ (Timed out)	600.	✓	2.907
1426	chapter 6 2.3	Problem 8	✓	0.25	✗	0.454
1427	chapter 6 2.3	Problem 9	✗	0.026	✓	1.342
1428	chapter 6 2.3	Problem 10	✓	0.039	✓	0.029
1429	chapter 6 2.3	Problem 11	✓	1.88	✓	0.752
1430	chapter 6 2.3	Problem 12	✗	0.053	✗	2.088
1431	chapter 6 2.3	Problem 13	✗	0.531	✗ (Timed out)	600.
1432	chapter 6 2.4	Problem 1	✓	15.568	✓	6.854
1433	chapter 6 2.4	Problem 2	✓	2.948	✓	1.
1434	chapter 6 2.4	Problem 3	✓	1.181	✓	0.517
1435	chapter 6 2.4	Problem 4	✓	4.95	✓	2.022
1436	chapter 6 2.4	Problem 5	✓	6.763	✓	3.969
1437	chapter 6 2.4	Problem 6	✓	0.557	✓	0.462
1438	chapter 6 2.4	Problem 7	✗	0.609	✓	1.623
1439	chapter 6 2.4	Problem 8	✗	0.034	✓	2.003
1440	chapter 6 3.1	Problem 1	✓	0.185	✓	0.067
1441	chapter 6 3.1	Problem 2	✓	0.208	✓	0.209
1442	chapter 6 3.1	Problem 3	✓	0.242	✓	0.284
1443	chapter 6 3.1	Problem 4	✗	1.001	✓	1.99
1444	chapter 6 3.1	Problem 5	✓	0.485	✓	0.157
1445	chapter 6 3.1	Problem 6	✓	0.432	✓	4.949
1446	chapter 6 3.1	Problem 7	✓	0.989	✓	4.067
1447	chapter 6 3.1	Problem 8	✓	1.051	✓	2.553
1448	chapter 6 3.2	Problem 1	✗	0.602	✓	2.436
1449	chapter 6 3.2	Problem 2	✗	0.407	✓	0.323
1450	chapter 6 3.2	Problem 3	✓	2.196	✓	0.984
1451	chapter 6 3.2	Problem 4	✓	2.782	✓	0.49
1452	chapter 6 3.2	Problem 5	✗	38.618	✗	29.034
1453	chapter 6 3.2	Problem 6	✗	38.325	✗	153.684
1454	chapter 6 3.2	Problem 7	✗	13.89	✗	126.215
1455	chapter 6 3.2	Problem 8	✗	8.366	✗	427.309
1456	chapter 6 3.2	Problem 9	✗	8.903	✓	1.515
1457	chapter 6 3.2	Problem 10	✗	3.009	✓	1.628
1458	chapter 6 3.2	Problem 11	✗	2.202	✓	0.493
1459	chapter 6 3.2	Problem 12	✗	28.89	✗ (Timed out)	600.
1460	chapter 6 3.2	Problem 13	✓	1.567	✓	0.961
1461	chapter 6 3.2	Problem 14	✗	1.399	✓	1.521
1462	chapter 6 3.2	Problem 15	✓	1.816	✓	3.443
1463	chapter 6 3.2	Problem 16	✗	3.201	✓	19.467
1464	chapter 6 3.2	Problem 17	✗	31.835	✗	7.095
1465	chapter 6 3.2	Problem 18	✗	21.581	✗	26.425
1466	chapter 6 4.1	Problem 1	✓	0.03	✓	0.044
1467	chapter 6 4.1	Problem 2	✓	0.187	✓	0.526
1468	chapter 6 4.1	Problem 3	✓	0.237	✓	0.511
1469	chapter 6 4.1	Problem 4	✓	0.431	✓	0.349
1470	chapter 6 4.1	Problem 5	✗	11.161	✓	1.302
1471	chapter 6 4.1	Problem 6	✗ (Timed out)	600.	✓	0.174
1472	chapter 6 4.2	Problem 1	✓	0.029	✓	0.034
1473	chapter 6 4.2	Problem 2	✓	0.046	✓	0.036
1474	chapter 6 4.2	Problem 3	✓	0.172	✓	0.15
1475	chapter 6 4.2	Problem 4	✓	0.237	✓	0.208
1476	chapter 6 4.2	Problem 5	✓	0.465	✓	0.305
1477	chapter 6 4.2	Problem 6	✗	174.3	✓	8.417
1478	chapter 6 4.3	Problem 1	✓	0.272	✓	1.783
1479	chapter 6 4.3	Problem 2	✓	0.084	✓	0.049
1480	chapter 6 4.3	Problem 3	✓	0.692	✓	2.253
1481	chapter 6 4.3	Problem 4	✓	0.887	✓	1.339
1482	chapter 6 4.3	Problem 5	✗	1.706	✓	2.208
1483	chapter 6 4.3	Problem 6	✗	0.66	✓	3.171
1484	chapter 6 4.4	Problem 1	✓	0.266	✓	0.316
1485	chapter 6 4.4	Problem 2	✓	0.083	✓	0.022
1486	chapter 6 4.4	Problem 3	✓	0.719	✓	0.315
1487	chapter 6 4.4	Problem 4	✓	0.832	✓	0.086
1488	chapter 6 4.4	Problem 5	✗	4.673	✓	2.221
1489	chapter 6 4.4	Problem 6	✗	0.656	✓	2.903
1490	chapter 6 4.5	Problem 1	✓	0.473	✓	0.584
1491	chapter 6 4.5	Problem 2	✓	0.284	✓	0.194
1492	chapter 6 4.5	Problem 3	✗ (Timed out)	600.	✓	0.125
1493	chapter 6 4.5	Problem 4	✗ (Timed out)	600.	✓	6.219
1494	chapter 6 4.5	Problem 5	✗	0.733	✓	4.931
1495	chapter 6 4.5	Problem 6	✗	0.699	✓	1.554
1496	chapter 6 5.1	Problem 1	✓	0.058	✓	0.793
1497	chapter 6 5.1	Problem 2	✓	0.011	✓	0.025
1498	chapter 6 5.1	Problem 3	✓	0.249	✓	2.311
1499	chapter 6 5.1	Problem 4	✓	0.23	✓	0.984
1500	chapter 6 5.2	Problem 1	✓	0.038	✓	0.049
1501	chapter 6 5.2	Problem 2	✓	0.339	✓	0.414
1502	chapter 6 5.2	Problem 3	✓	0.251	✓	5.549
1503	chapter 6 5.2	Problem 4	✓	0.309	✓	5.482
1504	chapter 6 5.2	Problem 5	✓	0.141	✓	0.161
1505	chapter 6 5.2	Problem 6	✓	0.933	✓	2.185
1506	chapter 6 6.1	Problem 1	✓	0.208	✓	0.712
1507	chapter 6 6.1	Problem 2	✓	0.219	✓	0.775
1508	chapter 6 6.1	Problem 3	✓	0.17	✓	0.117
1509	chapter 6 6.1	Problem 4	✓	0.498	✓	1.359
1510	chapter 6 6.1	Problem 5	✓	3.232	✓	6.001
1511	chapter 6 6.2	Problem 1	✓	60.46	✓	3.724
1512	chapter 6 6.2	Problem 2	✓	60.479	✓	0.962
1513	chapter 6 6.2	Problem 3	✗ (Timed out)	600.	✓	0.18
1514	chapter 6 6.2	Problem 4	✗ (Timed out)	600.	✓	0.003
1515	chapter 6 6.2	Problem 5	✓	3.148	✓	3.209
1516	chapter 6 6.3	Problem 1	✓	0.23	✓	1.391	Yes
1517	chapter 6 6.3	Problem 2	✓	0.687	✓	1.43	Yes
1518	chapter 6 6.3	Problem 3	✓	0.947	✓	0.929
1519	chapter 6 6.3	Problem 4	✓	0.228	✓	0.003
1520	chapter 6 6.3	Problem 5	✓	1.848	✓	3.709
1521	chapter 6 6.4	Problem 1	✓	0.251	✓	2.089
1522	chapter 6 6.4	Problem 2	✓	0.714	✓	7.017
1523	chapter 6 6.4	Problem 3	✓	0.913	✓	1.75
1524	chapter 6 6.4	Problem 4	✓	0.301	✓	0.003
1525	chapter 6 6.4	Problem 5	✗	1.781	✓	3.181
1526	chapter 6 6.5	Problem 1	✓	172.739	✓	15.113
1527	chapter 6 6.5	Problem 2	✓	0.197	✓	0.766
1528	chapter 6 6.5	Problem 3	✓	0.539	✓	1.67
1529	chapter 6 6.5	Problem 4	✗	68.311	✓	0.658
1530	chapter 6 6.5	Problem 5	✓	0.65	✓	1.305
1531	chapter 6 6.5	Problem 6	✗	24.362	✓	2.535
1532	chapter 6 7.1	Problem 1	✓	0.442	✓	0.469
1533	chapter 6 7.1	Problem 2	✓	1.424	✓	0.525
1534	chapter 6 7.1	Problem 3	✓	0.23	✓	0.14
1535	chapter 6 7.1	Problem 4	✓	0.356	✗ (Timed out)	600.
1536	chapter 6 7.1	Problem 5	✓	0.424	✓	1.938
1537	chapter 6 7.2	Problem 1	✓	0.38	✓	0.484
1538	chapter 6 7.2	Problem 2	✓	1.287	✓	0.539
1539	chapter 6 7.2	Problem 3	✓	0.201	✓	0.12
1540	chapter 6 7.2	Problem 4	✓	0.376	✓	19.589
1541	chapter 6 7.2	Problem 5	✓	0.365	✓	0.284
1542	chapter 6 7.3	Problem 1	✓	0.529	✓	0.967
1543	chapter 6 7.3	Problem 2	✓	1.042	✓	180.253
1544	chapter 6 7.3	Problem 3	✓	0.235	✓	0.49
1545	chapter 6 7.3	Problem 4	✓	0.218	✓	1.486
1546	chapter 6 7.3	Problem 5	✓	0.241	✓	0.08
1547	chapter 6 7.4	Problem 1	✓	0.555	✓	0.859
1548	chapter 6 7.4	Problem 2	✓	1.033	✓	554.306
1549	chapter 6 7.4	Problem 3	✓	0.256	✓	0.388
1550	chapter 6 7.4	Problem 4	✓	0.224	✓	1.967
1551	chapter 6 7.4	Problem 5	✓	0.253	✓	0.06
1552	chapter 6 8.1	Problem 1	✓	0.008	✓	0.016
1553	chapter 6 8.1	Problem 2	✓	0.194	✓	0.1
1554	chapter 6 8.1	Problem 3	✓	0.102	✓	0.029
1555	chapter 6 8.1	Problem 4	✓	0.314	✓	0.641
1556	chapter 6 8.1	Problem 5	✓	0.175	✓	0.064
1557	chapter 6 8.1	Problem 6	✗	0.018	✗	1.828
1558	chapter 6 8.1	Problem 7	✓	3.6	✓	4.393
1559	chapter 6 8.1	Problem 8	✓	0.742	✓	0.743
1560	chapter 6 8.1	Problem 9	✗	0.47	✓	1.038
1561	chapter 6 8.1	Problem 10	✗	0.76	✓	1.722
1562	chapter 6 8.2	Problem 1	✓	0.057	✓	0.049
1563	chapter 6 8.2	Problem 2	✓	0.9	✓	1.602
1564	chapter 6 8.2	Problem 3	✓	3.272	✓	0.05
1565	chapter 6 8.2	Problem 4	✗	0.249	✓	0.491
1566	chapter 6 8.2	Problem 5	✓	0.15	✓	0.039
1567	chapter 6 8.2	Problem 6	✓	0.192	✓	0.036
1568	chapter 6 8.2	Problem 7	✓	0.295	✓	0.308
1569	chapter 6 8.3	Problem 1	✓	0.038	✓	0.066
1570	chapter 6 8.3	Problem 2	✓	0.043	✓	0.04
1571	chapter 6 8.3	Problem 3	✓	0.05	✓	0.027
1572	chapter 6 8.3	Problem 4	✓	0.101	✓	0.036
1573	chapter 6 8.3	Problem 5	✓	0.091	✓	0.028
1574	chapter 6 8.3	Problem 6	✓	0.895	✓	4.748
1575	chapter 6 8.3	Problem 7	✓	152.468	✓	3.761
1576	chapter 6 8.3	Problem 8	✗	136.578	✗ (Timed out)	600.
1577	chapter 6 8.3	Problem 9	✗	0.419	✓	6.432
1578	chapter 6 8.3	Problem 10	✗	0.27	✓	6.055
1579	chapter 6 8.3	Problem 11	✗	50.659	✗	2.848
1580	chapter 6 8.3	Problem 12	✗	1.799	✗	1.882
1581	chapter 7 2.1	Problem 1	✓	0.054	✓	0.071
1582	chapter 7 2.1	Problem 2	✓	0.215	✓	0.66
1583	chapter 7 2.1	Problem 3	✓	0.05	✓	0.075
1584	chapter 7 2.1	Problem 4	✓	0.8	✓	0.143
1585	chapter 7 2.1	Problem 5	✓	0.185	✓	0.184
1586	chapter 7 2.1	Problem 6	✓	0.154	✓	0.048	Yes
1587	chapter 7 2.1	Problem 7	✓	0.203	✓	0.091	Yes
1588	chapter 7 2.1	Problem 8	✓	0.152	✓	1.119
1589	chapter 7 2.1	Problem 9	✓	1.093	✓	0.277
1590	chapter 7 2.2	Problem 1	✓	0.127	✓	0.025
1591	chapter 7 2.2	Problem 2	✓	0.052	✓	0.023
1592	chapter 7 2.2	Problem 3	✓	0.175	✓	0.036
1593	chapter 7 2.2	Problem 4	✓	0.098	✓	0.049
1594	chapter 7 2.2	Problem 5	✓	0.277	✓	0.076
1595	chapter 7 2.2	Problem 6	✓	0.264	✓	0.043
1596	chapter 7 2.2	Problem 7	✓	0.219	✓	0.046
1597	chapter 7 2.2	Problem 8	✓	0.189	✓	0.024
1598	chapter 7 2.2	Problem 9	✓	0.226	✓	0.037
1599	chapter 7 2.3	Problem 1	✓	0.033	✓	0.037
1600	chapter 7 2.3	Problem 2	✓	0.048	✓	0.039
1601	chapter 7 2.3	Problem 3	✓	0.073	✓	0.038
1602	chapter 7 2.3	Problem 4	✓	0.17	✓	0.241
1603	chapter 7 2.3	Problem 5	✓	0.24	✓	0.05
1604	chapter 7 2.4	Problem 1	✓	0.403	✓	0.053
1605	chapter 7 2.4	Problem 2	✓	0.245	✓	0.045
1606	chapter 7 2.4	Problem 3	✓	0.125	✓	0.246
1607	chapter 7 2.4	Problem 4	✓	0.214	✓	0.911
1608	chapter 7 2.4	Problem 5	✓	0.209	✓	0.296
1609	chapter 7 2.4	Problem 6	✓	0.16	✓	0.497
1610	chapter 7 2.4	Problem 7	✗	2.345	✓	0.393
1611	chapter 7 2.4	Problem 8	✓	10.94	✓	1.815
1612	chapter 7 2.4	Problem 9	✓	12.536	✓	4.296
1613	chapter 7 2.4	Problem 10	✓	6.392	✓	6.163
1614	chapter 7 2.4	Problem 11	✓	41.401	✓	2.67
1615	chapter 7 2.4	Problem 12	✓	0.063	✓	0.072
1616	chapter 7 2.4	Problem 13	✓	1.054	✓	0.856
1617	chapter 7 3.1	Problem 1	✓	0.052	✓	0.069
1618	chapter 7 3.1	Problem 2	✓	12.245	✓	1.374
1619	chapter 7 3.1	Problem 3	✓	6.791	✓	1.253
1620	chapter 7 3.1	Problem 4	✗	1.08	✓	1.293
1621	chapter 7 3.1	Problem 5	✓	0.665	✓	0.675
1622	chapter 7 3.1	Problem 6	✓	0.415	✓	1.078
1623	chapter 7 3.1	Problem 7	✓	1.237	✓	4.388
1624	chapter 7 3.1	Problem 8	✓	1.247	✓	2.717
1625	chapter 7 3.2	Problem 1	✓	1.133	✓	0.582
1626	chapter 7 3.2	Problem 2	✓	1.013	✓	0.798
1627	chapter 7 3.2	Problem 3	✓	0.352	✓	0.081
1628	chapter 7 3.2	Problem 4	✓	0.664	✓	0.433
1629	chapter 7 3.2	Problem 5	✓	0.613	✓	3.465
1630	chapter 7 3.2	Problem 6	✗	40.839	✗	26.509
1631	chapter 7 3.2	Problem 7	✗	16.491	✗	113.487
1632	chapter 7 3.2	Problem 8	✗	8.393	✓	44.413
1633	chapter 7 3.2	Problem 9	✓	1.817	✓	0.851
1634	chapter 7 3.2	Problem 10	✗	15.252	✗	41.168
1635	chapter 7 3.2	Problem 11	✓	2.323	✓	3.116
1636	chapter 7 4.1	Problem 1	✓	0.546	✓	0.321
1637	chapter 7 4.1	Problem 2	✓	31.635	✓	2.278
1638	chapter 7 4.1	Problem 3	✓	1.577	✓	3.933
1639	chapter 7 4.1	Problem 4	✓	20.14	✓	3.462
1640	chapter 7 4.1	Problem 5	✓	32.791	✗ (Timed out)	600.
1641	chapter 7 4.2	Problem 1	✓	0.522	✓	0.356
1642	chapter 7 4.2	Problem 2	✓	27.059	✓	2.117
1643	chapter 7 4.2	Problem 3	✓	1.538	✓	0.837
1644	chapter 7 4.2	Problem 4	✓	14.892	✓	2.707
1645	chapter 7 4.2	Problem 5	✓	0.383	✓	0.612
1646	chapter 7 4.2	Problem 6	✓	28.38	✗ (Timed out)	600.
1647	chapter 7 4.3	Problem 1	✓	0.402	✓	0.64
1648	chapter 7 4.3	Problem 2	✓	148.031	✓	19.588
1649	chapter 7 4.3	Problem 3	✓	0.929	✓	1.456
1650	chapter 7 4.3	Problem 4	✗	0.877	✓	6.44
1651	chapter 7 4.3	Problem 5	✓	1.267	✓	1.637
1652	chapter 7 4.3	Problem 6	✗	1.742	✓	2.428
1653	chapter 7 4.3	Problem 7	✓	44.223	✓	9.494
1654	chapter 7 4.4	Problem 1	✓	0.406	✓	0.619
1655	chapter 7 4.4	Problem 2	✓	144.525	✓	20.131
1656	chapter 7 4.4	Problem 3	✓	0.913	✓	1.584
1657	chapter 7 4.4	Problem 4	✗	0.854	✓	4.569
1658	chapter 7 4.4	Problem 5	✓	1.918	✓	1.72
1659	chapter 7 4.4	Problem 6	✓	45.356	✓	6.568
1660	chapter 7 4.5	Problem 1	✓	25.702	✓	12.969
1661	chapter 7 4.5	Problem 2	✓	1.167	✓	0.705
1662	chapter 7 4.5	Problem 3	✓	199.532	✓	2.147
1663	chapter 7 4.5	Problem 4	✓	0.688	✓	1.007
1664	chapter 7 4.5	Problem 5	✓	0.556	✓	1.168
1665	chapter 7 5.1	Problem 1	✓	0.062	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.035
1666	chapter 7 5.1	Problem 2	✗	0.342	✓	0.863
1667	chapter 7 5.1	Problem 3	✓	0.081	✓ Contains unresolve integral because maple can not integrate \(\ln ^n(x)\)	0.098
1668	chapter 7 5.1	Problem 4	✗	0.06	✓	1.542
1669	chapter 7 5.1	Problem 5	✗	2.164	✓ Contains RootOf and unresolved integrals \(\ln ^n(x)\)	1.558
1670	chapter 7 5.2	Problem 1	✓	0.937	✓ Answer has unresolved integrals	11.423
1671	chapter 7 5.2	Problem 2	✓	3.745	✓ Answer has unresolved integrals	4.288
1672	chapter 7 5.2	Problem 3	✓ Generated internal errors from solve : inconsistent or redundant transcendental equation	0.273	✓ Answer has unresolved integrals and RootOf	1.314
1673	chapter 7 5.2	Problem 4	✗	0.511	✓	1.146
1674	chapter 7 5.2	Problem 5	✓	3.64	✓	6.178
1675	chapter 7 6.1	Problem 1	✓	0.581	✓	1.349
1676	chapter 7 6.1	Problem 2	✓	0.367	✓	1.107
1677	chapter 7 6.1	Problem 3	✓	1.146	✓	2.978
1678	chapter 7 6.1	Problem 4	✓	156.664	✓	12.812
1679	chapter 7 6.1	Problem 5	✓	4.633	✓	3.915
1680	chapter 7 6.1	Problem 6	✗ (Timed out)	600.	✓	24.67
1681	chapter 7 6.2	Problem 1	✓	0.596	✓	0.966
1682	chapter 7 6.2	Problem 2	✓	16.371	✓	1.384
1683	chapter 7 6.2	Problem 3	✓	1.272	✓	1.72
1684	chapter 7 6.2	Problem 4	✓	132.72	✓	13.074
1685	chapter 7 6.2	Problem 5	✓	3.249	✓	3.329
1686	chapter 7 6.2	Problem 6	✗ (Timed out)	600.	✓	13.135
1687	chapter 7 6.3	Problem 1	✓	0.434	✓	0.691
1688	chapter 7 6.3	Problem 2	✓	0.479	✓	2.203
1689	chapter 7 6.3	Problem 3	✓	0.821	✓	2.193
1690	chapter 7 6.3	Problem 4	✓	56.048	✓	14.526
1691	chapter 7 6.3	Problem 5	✗ (Timed out)	600.	✓	8.47
1692	chapter 7 6.4	Problem 1	✓	0.449	✓	0.773
1693	chapter 7 6.4	Problem 2	✓	0.702	✓	3.281
1694	chapter 7 6.4	Problem 3	✓	0.829	✓	1.982
1695	chapter 7 6.4	Problem 4	✓	59.712	✓	14.251
1696	chapter 7 6.4	Problem 5	✓	3.513	✓	12.751
1697	chapter 7 6.2	Problem 6	✗ (Timed out)	600.	✓	15.151
1698	chapter 7 6.5	Problem 1	✓	1.576	✓	0.139
1699	chapter 7 6.5	Problem 2	✗	69.605	✓	7.802
1700	chapter 7 6.5	Problem 3	✗	33.469	✓	11.227
1701	chapter 7 6.5	Problem 4	✗ (Timed out)	600.	✓	11.781
1702	chapter 7 6.5	Problem 5	✗	11.522	✓	4.356
1703	chapter 7 7.1	Problem 1	✓	0.507	✓	0.21
1704	chapter 7 7.1	Problem 2	✓	0.739	✓	0.889
1705	chapter 7 7.1	Problem 3	✗	1.011	✓	0.898
1706	chapter 7 7.1	Problem 4	✗	0.75	✓	0.927
1707	chapter 7 7.1	Problem 5	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	6.508	✗ (Timed out)	600.
1708	chapter 7 7.1	Problem 6	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	1.252	✗ (Timed out)	600.
1709	chapter 7 7.2	Problem 1	✓	0.135	✓ Answer contains unresolved integrals	0.184
1710	chapter 7 7.2	Problem 2	✓	0.652	✓	0.043
1711	chapter 7 7.2	Problem 3	✗	0.935	✓	0.39
1712	chapter 7 7.2	Problem 4	✓	6.823	✓	20.171
1713	chapter 7 7.2	Problem 5	✗	0.972	✓	0.646
1714	chapter 7 7.3	Problem 1	✓	0.622	✓	0.376
1715	chapter 7 7.3	Problem 2	✓	0.216	✓	0.568
1716	chapter 7 7.3	Problem 3	✗	0.768	✓	0.505
1717	chapter 7 7.3	Problem 4	✗	0.395	✓	184.541
1718	chapter 7 7.3	Problem 5	✓	0.461	✓	1.917
1719	chapter 7 7.4	Problem 1	✓	0.699	✓	0.692
1720	chapter 7 7.4	Problem 2	✓	0.298	✓	0.169
1721	chapter 7 7.4	Problem 3	✗	0.853	✓	0.532
1722	chapter 7 7.4	Problem 4	✗	0.63	✓	0.987
1723	chapter 7 7.4	Problem 5	✓	0.413	✓	0.451
1724	chapter 7 8.1	Problem 1	✓	0.025	✓	0.205
1725	chapter 7 8.1	Problem 2	✓	0.197	✓	0.115
1726	chapter 7 8.1	Problem 3	✓	0.107	✓	0.024
1727	chapter 7 8.1	Problem 4	✓	0.41	✓	2.214
1728	chapter 7 8.1	Problem 5	✗	0.287	✗	2.091
1729	chapter 7 8.1	Problem 6	✗	24.544	✓ Gives Warning: Incomplete separation	41.767
1730	chapter 7 8.1	Problem 7	✓	0.796	✓	0.821
1731	chapter 7 8.1	Problem 8	✗	0.455	✓	0.916
1732	chapter 7 8.1	Problem 9	✗	0.742	✓	1.458
1733	chapter 7 8.2	Problem 1	✗	0.175	✓	0.083
1734	chapter 7 8.2	Problem 2	✗	0.236	✓	4.395
1735	chapter 7 8.2	Problem 3	✗	0.2	✓	0.164
1736	chapter 7 8.2	Problem 4	✓	0.421	✓	0.797
1737	chapter 7 8.2	Problem 5	✓	2.517	✓	1.914
1738	chapter 7 8.2	Problem 6	✗	36.758	✗	98.439
1739	chapter 7 8.2	Problem 7	✗	0.357	✓	2.52
1740	chapter 7 8.2	Problem 8	✗	0.238	✓	4.668
1741	chapter 7 8.3	Problem 1	✓ Kernel message inconsistent or redundant transcendental equation	0.086	✓	0.11
1742	chapter 7 8.3	Problem 2	✗	0.044	✓	0.115
1743	chapter 7 8.3	Problem 3	✓	0.083	✓	0.068
1744	chapter 7 8.3	Problem 4	✗	0.113	✓	0.088
1745	chapter 7 8.3	Problem 5	✓	15.648	✓	3.107
1746	chapter 7 8.3	Problem 6	✗ (Timed out)	600.	✓	5.109
1747	chapter 7 8.3	Problem 7	✗	3.415	✓	7.692
1748	chapter 7 8.3	Problem 8	✗	0.235	✓	21.24
1749	chapter 7 8.3	Problem 9	✗	0.227	✓	16.869
1750	chapter 7 8.3	Problem 10	✗	44.985	✗	8.941
1751	chapter 7 8.3	Problem 11	✗	0.123	✗	2.766
1752	chapter 8 2.1	Problem 1	✓	0.078	✓	0.24
1753	chapter 8 2.1	Problem 2	✓	0.138	✓	0.985
1754	chapter 8 2.1	Problem 3	✓	0.15	✓	0.192
1755	chapter 8 2.1	Problem 4	✓	1.474	✓	0.418
1756	chapter 8 2.1	Problem 5	✓	0.111	✓	0.173
1757	chapter 8 2.1	Problem 6	✓	0.119	✓	0.228
1758	chapter 8 2.1	Problem 7	✓	0.165	✓	0.22
1759	chapter 8 2.1	Problem 8	✓	0.122	✓	1.782
1760	chapter 8 2.1	Problem 9	✓	0.897	✓	0.315
1761	chapter 8 2.2	Problem 1	✓	0.094	✓	0.072
1762	chapter 8 2.2	Problem 2	✓	0.155	✓	0.035
1763	chapter 8 2.2	Problem 3	✓	0.126	✓	0.03
1764	chapter 8 2.2	Problem 4	✓	2.544	✓	0.654
1765	chapter 8 2.2	Problem 5	✓	0.229	✓	0.283
1766	chapter 8 2.2	Problem 6	✓	0.197	✓	0.366
1767	chapter 8 2.2	Problem 7	✓	0.148	✓	0.133
1768	chapter 8 2.2	Problem 8	✓	0.153	✓	0.052
1769	chapter 8 2.2	Problem 9	✓	0.233	✓	0.096
1770	chapter 8 2.3	Problem 1	✓	0.023	✓	0.111
1771	chapter 8 2.3	Problem 2	✓	0.056	✓	0.13
1772	chapter 8 2.3	Problem 3	✓	0.068	✓	0.062
1773	chapter 8 2.3	Problem 4	✓	0.071	✓	0.788
1774	chapter 8 2.3	Problem 5	✓	0.235	✓	0.11
1775	chapter 8 2.4	Problem 1	✓	0.506	✓	0.089
1776	chapter 8 2.4	Problem 2	✓	0.283	✓	0.072
1777	chapter 8 2.4	Problem 3	✓	0.096	✓	0.411
1778	chapter 8 2.4	Problem 4	✓	0.159	✓	0.928
1779	chapter 8 2.4	Problem 5	✓	0.058	✓	0.434
1780	chapter 8 2.4	Problem 6	✓	0.102	✓	0.246
1781	chapter 8 2.4	Problem 7	✗	1.893	✓	0.542
1782	chapter 8 2.4	Problem 8	✓	9.151	✓	3.025
1783	chapter 8 2.4	Problem 9	✓	11.334	✓	5.376
1784	chapter 8 2.4	Problem 10	✓	5.306	✓	2.639
1785	chapter 8 2.4	Problem 11	✗	23.613	✓	10.807
1786	chapter 8 2.4	Problem 12	✓	0.048	✓	0.104
1787	chapter 8 2.4	Problem 13	✓	0.986	✓	1.158
1788	chapter 8 3.1	Problem 1	✓	0.038	✓	0.107
1789	chapter 8 3.1	Problem 2	✓	0.553	✓	0.131
1790	chapter 8 3.1	Problem 3	✓ Generates Solve::incnst: Inconsistent or redundant transcendental equation	6.508	✓	0.598
1791	chapter 8 3.1	Problem 4	✗	2.09	✓	2.632
1792	chapter 8 3.1	Problem 5	✓	0.573	✓	0.909
1793	chapter 8 3.1	Problem 6	✗	1.967	✓	5.061
1794	chapter 8 3.1	Problem 7	✓	1.072	✓	6.09
1795	chapter 8 3.1	Problem 8	✓	1.12	✓	3.043
1796	chapter 8 3.2	Problem 1	✓	1.775	✓	1.841
1797	chapter 8 3.2	Problem 2	✓	1.581	✓	0.143
1798	chapter 8 3.2	Problem 3	✓	0.993	✓	0.527
1799	chapter 8 3.2	Problem 4	✓	1.231	✓	0.323
1800	chapter 8 3.2	Problem 5	✓	0.872	✓	3.192
1801	chapter 8 3.2	Problem 6	✗	37.533	✓	197.072
1802	chapter 8 3.2	Problem 7	✗	13.807	✗ (Timed out)	600.
1803	chapter 8 3.2	Problem 8	✗	7.747	✗ (Timed out)	600.
1804	chapter 8 3.2	Problem 9	✓	1.967	✓	0.758
1805	chapter 8 3.2	Problem 10	✗	1.365	✓	1.946
1806	chapter 8 3.2	Problem 11	✓	2.317	✓	7.545
1807	chapter 8 4.1	Problem 1	✓	0.972	✓	0.438
1808	chapter 8 4.1	Problem 2	✓	29.051	✓	0.578
1809	chapter 8 4.1	Problem 3	✓	11.12	✓	0.378
1810	chapter 8 4.1	Problem 4	✓	19.408	✓	0.837
1811	chapter 8 4.1	Problem 5	✗	5.544	✓	2.452
1812	chapter 8 4.2	Problem 1	✓	1.098	✓	0.286
1813	chapter 8 4.2	Problem 2	✓	24.869	✓	0.364
1814	chapter 8 4.2	Problem 3	✓	4.19	✓	0.003
1815	chapter 8 4.2	Problem 4	✓	14.906	✓	0.217
1816	chapter 8 4.2	Problem 5	✗	5.499	✓	2.203
1817	chapter 8 4.3	Problem 1	✓	0.249	✓	0.58
1818	chapter 8 4.3	Problem 2	✓	110.676	✓	3.671
1819	chapter 8 4.3	Problem 3	✓	0.746	✓	0.026
1820	chapter 8 4.3	Problem 4	✗	0.855	✓	8.303
1821	chapter 8 4.3	Problem 5	✓	1.294	✓	2.086
1822	chapter 8 4.3	Problem 6	✗	5.573	✓	6.848
1823	chapter 8 4.4	Problem 1	✓	0.232	✓	0.845
1824	chapter 8 4.4	Problem 2	✓	77.97	✓	5.044
1825	chapter 8 4.4	Problem 3	✓	0.731	✓	0.067
1826	chapter 8 4.4	Problem 4	✗	0.854	✓	1.853
1827	chapter 8 4.4	Problem 5	✓	1.734	✓	1.928
1828	chapter 8 4.4	Problem 6	✗	5.255	✓	3.711
1829	chapter 8 4.5	Problem 1	✓	38.122	✓	0.163
1830	chapter 8 4.5	Problem 2	✓	9.312	✓	0.128
1831	chapter 8 4.5	Problem 3	✗	186.371	✓	1.449
1832	chapter 8 4.5	Problem 4	✓	0.737	✓	0.031
1833	chapter 8 4.5	Problem 5	✓	0.545	✓	1.388
1834	chapter 8 5.1	Problem 1	✓	0.025	✓	0.051
1835	chapter 8 5.1	Problem 2	✓	0.087	✓	0.139
1836	chapter 8 5.1	Problem 3	✓	0.087	✓	0.074
1837	chapter 8 5.1	Problem 4	✗	0.554	✓	0.463
1838	chapter 8 5.1	Problem 5	✗	0.023	✓	1.276
1839	chapter 8 5.2	Problem 1	✗	0.354	✓	0.946
1840	chapter 8 5.2	Problem 2	✓	2.423	✓	0.151
1841	chapter 8 5.2	Problem 3	✓	1.248	✗ (Timed out)	600.
1842	chapter 8 5.2	Problem 4	✗	0.513	✓	1.512
1843	chapter 8 5.2	Problem 5	✓	1.178	✓	15.274
1844	chapter 8 6.1	Problem 1	✓	0.988	✓	1.484
1845	chapter 8 6.1	Problem 2	✓	0.616	✓	1.318
1846	chapter 8 6.1	Problem 3	✗	3.484	✓	7.16
1847	chapter 8 6.1	Problem 4	✗	72.211	✓	16.824
1848	chapter 8 6.1	Problem 5	✓	72.219	✓	7.193
1849	chapter 8 6.1	Problem 6	✗ (Timed out)	600.	✓	15.069
1850	chapter 8 6.2	Problem 1	✓	1.532	✓	0.877
1851	chapter 8 6.2	Problem 2	✓	16.386	✓	6.867
1852	chapter 8 6.2	Problem 3	✓	3.06	✓	0.138
1853	chapter 8 6.2	Problem 4	✗	69.628	✓	19.99
1854	chapter 8 6.2	Problem 5	✓	220.84	✓	10.691
1855	chapter 8 6.2	Problem 6	✗ (Timed out)	600.	✓	11.584
1856	chapter 8 6.3	Problem 1	✓	0.279	✓	0.934
1857	chapter 8 6.3	Problem 2	✓	0.49	✓	2.384
1858	chapter 8 6.3	Problem 3	✓	0.665	✓	0.111
1859	chapter 8 6.3	Problem 4	✓	45.182	✓	8.885
1860	chapter 8 6.3	Problem 5	✗ (Timed out)	600.	✓	6.61
1861	chapter 8 6.4	Problem 1	✓	0.426	✓	0.98
1862	chapter 8 6.4	Problem 2	✓	0.818	✓	3.789
1863	chapter 8 6.4	Problem 3	✓	0.683	✓	0.082
1864	chapter 8 6.4	Problem 4	✓	69.557	✓	31.016
1865	chapter 8 6.4	Problem 5	✗ (Timed out)	600.	✓	8.908
1866	chapter 8 6.5	Problem 1	✓	8.709	✓	0.138
1867	chapter 8 6.5	Problem 2	✗	69.31	✓	17.781
1868	chapter 8 6.5	Problem 3	✗	33.332	✓	12.36
1869	chapter 8 6.5	Problem 4	✗ (Timed out)	600.	✓	13.761
1870	chapter 8 6.5	Problem 5	✗ (Timed out)	600.	✓	8.911
1871	chapter 8 7.1	Problem 1	✓	1.012	✓	0.216
1872	chapter 8 7.1	Problem 2	✓	1.058	✓	0.987
1873	chapter 8 7.1	Problem 3	✗	1.008	✓	0.821
1874	chapter 8 7.1	Problem 4	✗	0.783	✓	1.072
1875	chapter 8 7.1	Problem 5	✓	6.319	✗ (Timed out)	600.
1876	chapter 8 7.1	Problem 6	✗	0.867	✓	1.972
1877	chapter 8 7.2	Problem 1	✓	0.386	✓	0.235
1878	chapter 8 7.2	Problem 2	✓	1.065	✓	0.168
1879	chapter 8 7.2	Problem 3	✗	0.895	✓	0.409
1880	chapter 8 7.2	Problem 4	✗	0.726	✓	0.456
1881	chapter 8 7.2	Problem 5	✓	6.521	✓	1.668
1882	chapter 8 7.2	Problem 6	✗	0.855	✓	0.179
1883	chapter 8 7.3	Problem 1	✓	0.291	✓	0.365
1884	chapter 8 7.3	Problem 2	✓	0.609	✓	0.947
1885	chapter 8 7.3	Problem 3	✗	0.623	✓	0.194
1886	chapter 8 7.3	Problem 4	✗	0.585	✓	416.475
1887	chapter 8 7.3	Problem 5	✓	0.448	✓	1.052
1888	chapter 8 7.4	Problem 1	✓	0.327	✓	0.456
1889	chapter 8 7.4	Problem 2	✓	0.569	✓	0.135
1890	chapter 8 7.4	Problem 3	✗	0.676	✓	0.073
1891	chapter 8 7.4	Problem 4	✗	0.611	✓	0.049
1892	chapter 8 7.4	Problem 5	✓	0.446	✓	2.223
1893	chapter 8 8.1	Problem 1	✓	0.038	✓	0.133
1894	chapter 8 8.1	Problem 2	✓	0.185	✓	0.146
1895	chapter 8 8.1	Problem 3	✓	0.098	✓	0.026
1896	chapter 8 8.1	Problem 4	✓	0.512	✓	0.23
1897	chapter 8 8.1	Problem 5	✓	0.384	✓	0.79
1898	chapter 8 8.1	Problem 6	✓	3.425	✓	1.536
1899	chapter 8 8.1	Problem 7	✓	0.742	✓	0.851
1900	chapter 8 8.1	Problem 8	✗	0.428	✓	1.046
1901	chapter 8 8.1	Problem 9	✗	0.713	✓	1.634
1902	chapter 8 8.2	Problem 1	✗	0.165	✓	0.225
1903	chapter 8 8.2	Problem 2	✗	0.231	✓	0.452
1904	chapter 8 8.2	Problem 3	✗	0.192	✓	0.114
1905	chapter 8 8.2	Problem 4	✓	0.238	✓	0.553
1906	chapter 8 8.2	Problem 5	✓	3.012	✗	17.637
1907	chapter 8 8.2	Problem 6	✗	0.319	✓	2.655
1908	chapter 8 8.2	Problem 7	✗	21.051	✗	5.711
1909	chapter 8 8.2	Problem 8	✗	20.283	✗	4.512
1910	chapter 8 8.3	Problem 1	✓	0.093	✓	0.089
1911	chapter 8 8.3	Problem 2	✗	0.042	✓	0.079
1912	chapter 8 8.3	Problem 3	✓	0.093	✓	0.062
1913	chapter 8 8.3	Problem 4	✗	0.108	✓	0.076
1914	chapter 8 8.3	Problem 5	✓	15.641	✓	3.907
1915	chapter 8 8.3	Problem 6	✗ (Timed out)	600.	✓	5.979
1916	chapter 8 8.3	Problem 7	✗	131.917	✗ (Timed out)	600.
1917	chapter 8 8.3	Problem 8	✗	20.351	✗	5.535
1918	chapter 8 8.3	Problem 9	✗	20.241	✗	15.995
1919	chapter 8 8.3	Problem 10	✗	45.319	✓	3.161
1920	chapter 8 8.3	Problem 11	✗	1.467	✗	4.557
1921	chapter 9 2.1	Problem 1	✓	0.353	✓	0.154
1922	chapter 9 2.1	Problem 2	✓	0.419	✓	1.898
1923	chapter 9 2.1	Problem 3	✓	0.246	✓	0.22
1924	chapter 9 2.1	Problem 4	✓	0.124	✓	0.136
1925	chapter 9 2.1	Problem 5	✓	0.213	✓	0.233
1926	chapter 9 2.1	Problem 6	✗ (Timed out)	600.	✗ (Timed out)	600.
1927	chapter 9 2.1	Problem 7	✓	0.17	✓	0.337
1928	chapter 9 2.1	Problem 8	✓	0.122	✓	0.059
1929	chapter 9 2.1	Problem 9	✓	0.273	✓	1.725
1930	chapter 9 2.2	Problem 1	✓	0.296	✓	0.163
1931	chapter 9 2.2	Problem 2	✓	0.087	✓	0.131
1932	chapter 9 2.2	Problem 3	✓	0.249	✓	0.111
1933	chapter 9 2.2	Problem 4	✗ (Timed out)	600.	✓	458.068
1934	chapter 9 2.2	Problem 5	✓	0.048	✓	0.216
1935	chapter 9 2.2	Problem 6	✓	0.051	✓	0.076
1936	chapter 9 2.2	Problem 7	✓	0.292	✓	0.289
1937	chapter 9 2.3	Problem 1	✓	0.108	✓	0.238
1938	chapter 9 2.3	Problem 2	✓	0.151	✓	0.208
1939	chapter 9 2.3	Problem 3	✓	0.118	✓	0.333
1940	chapter 9 2.3	Problem 4	✗ (Timed out)	600.	✓	85.01
1941	chapter 9 2.3	Problem 5	✓	0.334	✓	2.427
1942	chapter 9 2.4	Problem 1	✓	0.181	✓	0.274
1943	chapter 9 2.4	Problem 2	✓	0.171	✓	0.133
1944	chapter 9 2.4	Problem 3	✓	0.263	✓	2.807
1945	chapter 9 2.4	Problem 4	✓	0.142	✓	0.326
1946	chapter 9 2.4	Problem 5	✓	0.043	✓	0.13
1947	chapter 9 2.4	Problem 6	✓	0.415	✓	0.425
1948	chapter 9 2.4	Problem 7	✓	19.472	✓	10.733
1949	chapter 9 2.4	Problem 8	✓	17.158	✓	15.509
1950	chapter 9 2.4	Problem 9	✗	24.209	✓	35.167
1951	chapter 9 2.4	Problem 10	✓	0.077	✓	0.336
1952	chapter 9 2.4	Problem 11	✓	0.149	✓	2.526
1953	chapter 9 2.4	Problem 12	✓	0.221	✓	4.548
1954	chapter 9 2.4	Problem 13	✓	3.714	✓	4.558
1955	chapter 9 2.4	Problem 14	✓	0.747	✓	1.389
1956	chapter 9 3.1	Problem 1	✓	0.073	✓	0.195
1957	chapter 9 3.1	Problem 2	✓	0.105	✓	0.335
1958	chapter 9 3.1	Problem 3	✓	0.228	✓	0.159
1959	chapter 9 3.1	Problem 4	✓	0.19	✓	0.756
1960	chapter 9 3.1	Problem 5	✗	2.788	✓	6.091
1961	chapter 9 3.1	Problem 6	✓	3.395	✓	6.593
1962	chapter 9 3.1	Problem 7	✗ (Timed out)	600.	✓	44.915
1963	chapter 9 3.2	Problem 1	✓	0.087	✓	0.172
1964	chapter 9 3.2	Problem 2	✓	0.11	✓	0.288
1965	chapter 9 3.2	Problem 3	✗	0.157	✓	0.705
1966	chapter 9 3.2	Problem 4	✗	2.547	✓	5.657
1967	chapter 9 3.2	Problem 5	✓	3.933	✓	3.809
1968	chapter 9 3.2	Problem 6	✗	2.718	✓	5.633
1969	chapter 9 3.2	Problem 7	✓	0.353	✓	0.694
1970	chapter 9 3.2	Problem 8	✓	6.031	✓	1.694
1971	chapter 9 3.2	Problem 9	✗ (Timed out)	600.	✓	14.656
1972	chapter 9 3.2	Problem 10	✗	1.853	✓	5.044
1973	chapter 9 4.1	Problem 1	✓	128.813	✓	0.713
1974	chapter 9 4.1	Problem 2	✓	3.199	✓	11.907
1975	chapter 9 4.1	Problem 3	✓	12.326	✓	0.738
1976	chapter 9 4.1	Problem 4	✗	165.378	✓	2.005
1977	chapter 9 4.1	Problem 5	✓	151.995	✓	19.258
1978	chapter 9 4.2	Problem 1	✓	129.142	✓	0.834
1979	chapter 9 4.2	Problem 2	✓	3.167	✓	10.288
1980	chapter 9 4.2	Problem 3	✓	7.605	✓	0.708
1981	chapter 9 4.2	Problem 4	✗	180.909	✓	1.653
1982	chapter 9 4.2	Problem 5	✓	155.999	✓	16.9
1983	chapter 9 4.3	Problem 1	✓	82.392	✓	1.66
1984	chapter 9 4.3	Problem 2	✓	4.463	✓	15.457
1985	chapter 9 4.3	Problem 3	✓	2.075	✓	1.266
1986	chapter 9 4.3	Problem 4	✗	207.533	✓	10.98
1987	chapter 9 4.3	Problem 5	✓	302.567	✓	6.223
1988	chapter 9 4.4	Problem 1	✓	79.65	✓	1.968
1989	chapter 9 4.4	Problem 2	✓	6.66	✓	5.489
1990	chapter 9 4.4	Problem 3	✓	2.946	✓	0.819
1991	chapter 9 4.4	Problem 4	✗	207.524	✓	3.596
1992	chapter 9 4.4	Problem 5	✓	296.585	✓	14.666
1993	chapter 9 4.5	Problem 1	✓	133.332	✓	0.26
1994	chapter 9 4.5	Problem 2	✓	66.579	✓	1.175
1995	chapter 9 4.5	Problem 3	✗	181.078	✓	0.703
1996	chapter 9 4.5	Problem 4	✓	2.051	✓	0.691
1997	chapter 9 4.5	Problem 5	✓	160.738	✓	5.229
1998	chapter 9 5.1	Problem 1	✓	0.173	✓	0.236
1999	chapter 9 5.1	Problem 2	✓	0.132	✓	0.496
2000	chapter 9 5.1	Problem 3	✗	0.528	✓	0.63
2001	chapter 9 5.1	Problem 4	✗	0.276	✓	2.477
2002	chapter 9 5.1	Problem 5	✓	1.468	✓	349.608

Handbook of nonlinear partial differential equations

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

#	PDE	description	Mathematica		Maple		hand solved?	Animated?
			result	time	result	time
2003	chapter 1 1.1	Problem 1	✗	0.376	✗	7.63
2004	chapter 1 1.1	Problem 2	✓	0.122	✓	0.671
2005	chapter 1 1.2	Problem 1	✗	0.079	✗	19.037
2006	chapter 1 1.2	Problem 2	✗	0.093	✓	0.776
2007	chapter 1 1.2	Problem 3	✗	0.182	✓	0.542
2008	chapter 1 1.2	Problem 4	✗	0.172	✓	0.74
2009	chapter 1 1.2	Problem 5	✗	0.843	✓	1.456
2010	chapter 1 1.3	Problem 1	✗	0.009	✗	0.093
2011	chapter 1 1.3	Problem 2	✗	0.01	✗	0.018
2012	chapter 1 1.3	Problem 3	✗	0.017	✗	0.198
2013	chapter 1 1.3	Problem 4	✗	0.018	✗	0.025
2014	chapter 1 1.4	Problem 1	✗	0.013	✗	0.018