3 Lookup table of results

Table 5: Breakdown of results for each PDE. Time in seconds








#

PDE

description

Mathematica
Maple

hand solved?





result

time

result

time









1

General first order PDE’s

Linear PDE, the transport equation

0.003

0.12

Yes









2

General first order PDE’s

Linear PDE

0.003

0.01

Yes









3

General first order PDE’s

Linear PDE, initial value problem

0.013

0.12

Yes









4

General first order PDE’s

Initial-boundary value problem

0.046

0.25

Yes









5

General first order PDE’s

Linear PDE, the transport equation with initial conditions

0.003

0.01

Yes









6

General first order PDE’s

First order wave PDE, with initial conditions (Haberman 12.2.2)

0.003

0.01

Yes









7

General first order PDE’s

First order wave PDE, with initial and boundary conditions (Haberman 12.2.4)

45.343


Solution contains unresolved invlaplace calls

0.23

Yes









8

General first order PDE’s

First order wave PDE, with initial conditions, non homogeneous (Haberman 12.2.5 (a))

0.027

0.03

Yes









9

General first order PDE’s

First order wave PDE, with initial conditions, non homogeneous (Haberman 12.2.5 (d))

0.018

0.05

Yes









10

General first order PDE’s

General solution for a quasilinear first-order PDE

0.05

0.04

Yes









11

General first order PDE’s

quasilinear first-order PDE, scalar conservation law


Implicit solution

0.029

0.01

Yes









12

General first order PDE’s

quasilinear first-order PDE, scalar conservation law with initial value

0.007

0.02

Yes









13

General first order PDE’s

nonlinear first-order PDE, the Clairaut equation

0.024

0.08

Yes









14

General first order PDE’s

nonlinear first-order PDE, the Clairaut equation with initial value

0.01

0.58

No









15

General first order PDE’s

Another example of nonlinear Clairaut equation

0.021

0.01

No









16

General first order PDE’s

Recover a function from its gradient vector

0.014

0.05

No









17

General first order PDE’s

General solution of a first order nonlinear PDE

0.095


Has unresolved integral in the answer

0.03

No









18

General first order PDE’s

Nonlinear first order PDE

0.086

0.43

No









19

General first order PDE’s

first order PDE of three unknowns

(Timed out)

600.

1.75

No









20

Heat PDE in bar (1D)

left and right end temperature fixed at zero. No source (Haberman 2.3.3 (a))

0.277

1.67

Yes









21

Heat PDE in bar (1D)

left and right end temperature fixed at zero, No source (Haberman 2.3.3 (b))

0.727

1.78

Yes









22

Heat PDE in bar (1D)

left and right end temperature fixed at zero, No source (Haberman 2.3.3 (c))


but \(n=3\) should be special case

0.734


handled \(n=3\) case correctly.

3.46

Yes









23

Heat PDE in bar (1D)

left and right end temperature fixed at zero, No source (Haberman 2.3.3 (d))

0.945

1.71

Yes









24

Heat PDE in bar (1D)

left and right end insulated, No source (Haberman 2.3.7)

0.299

0.68

Yes









25

Heat PDE in bar (1D)

left and right end fixed at zero, with heat sink (Haberman 2.3.8)

31.203

0.8

Yes









26

Heat PDE in bar (1D)

left and right end insulated, No source (Haberman 2.4.1 (a))

0.438

1.26

No









27

Heat PDE in bar (1D)

left and right end insulated, No source (Haberman 2.4.1 (b))

0.303

2.12

Yes









28

Heat PDE in bar (1D)

left and right end insulated, No source (Haberman 2.4.1 (c))

0.651

3.43

Yes









29

Heat PDE in bar (1D)

left and right end insulated, No source (Haberman 2.4.1 (d))

0.267

1.9

No









30

Heat PDE in bar (1D)

left and insulated, right end fixed at zero. No source (Haberman 2.4.2)

0.217

0.87

Yes









31

Heat PDE in bar (1D)

Left end insulated, right end has convection heat loss, No source

30.397

1.81

No









32

Heat PDE in bar (1D)

Periodic boundary conditions, No source

0.388

9.76

No









33

Heat PDE in bar (1D)

Left and right end have Robin boundary conditions. No source

31.391

2.45

No









34

Heat PDE in bar (1D)

with domain from -1 to +1, both ends fixed at zero temperature. no source

30.507

0.9

No









35

Heat PDE in bar (1D)

Left and right end fixed at non-zero temperature, zero intial conditions, no source term

13.626

0.44

No









36

Heat PDE in bar (1D)

Left held at constant non-zero temperature, right nonhomogeneous Neumann, No source (Haberman 8.2.1 (a))

0.539

0.99

Yes









37

Heat PDE in bar (1D)

Left and right end fixed at constant non-zero temperature, non zero intial conditions, with source term that is constant (Haberman 8.2.1 (d))

44.45

0.67

Yes









38

Heat PDE in bar (1D)

Left and right end fixed zero temperature, non zero intial conditions, internal source term present

0.731

0.73

No









39

Heat PDE in bar (1D)

Left and right end fixed zero temperature, non zero intial conditions, internal source term present

0.373

1.05

No









40

Heat PDE in bar (1D)

Left and right end fixed zero temperature, intial conditions is hat function, No source

18.612

1.06

No









41

Heat PDE in bar (1D)

Left and right end fixed zero temperature, intial conditions non zero at single location, No source

5.314

0.42

No









42

Heat PDE in bar (1D)

Left temperature depends on time, right end fixed at zero. zero initial conditions, No source

6.127

0.81

No









43

Heat PDE in bar (1D)

Left and right end fixed at zero temperature. non zero initial conditions, external source depends on space only (Haberman 8.2.1 (f))

0.363

1.48

No









44

Heat PDE in bar (1D)

Left and right end fixed at zero temperature. non zero initial conditions, external source depends on time only (Pinchover and Rubinstein 6.25)

0.784

3.32

No









45

Heat PDE in bar (1D)

Left and right end fixed at zero temperature. non zero initial conditions, external source depends on time and space

0.378

13.73

No









46

Heat PDE in bar (1D)

Left and right end insulated. non zero initial conditions, external source depends on time and space (Pinchover and Rubinstein 6.17)

1.354

1.99

No









47

Heat PDE in bar (1D)

Left end insulated, right end non-homogeneous Neumann boundary condition, no source

0.276

2.79

No









48

Heat PDE in bar (1D)

Left and right end fixed at zero, source depends on time and space (Pinchover and Rubinstein 6.23)

0.861

36.94

No









49

Heat PDE in bar (1D)

Left and right end insulated, source depends on time and space (Pinchover and Rubinstein 6.21)

0.264

1.6

No









50

Heat PDE in bar (1D)

Left and right end nonhomogeneous Dirichlet BC that depends on time, source that depends on space

30.598

3.82

No









51

Heat PDE in bar (1D)

Left and right end fixed at zero, non zero initial conditions, source that depends on time and space

1.546

4.69

No









52

Heat PDE in bar (1D)

Left end held fixed at constant temperature, right end at zero. Zero initial conditions, source that depends on time and space (Haberman 8.3.6)

30.671

18.43

Yes









53

Heat PDE in bar (1D)

Both left and right end nonhomogeneous Neumann condition which is function of time, source that depends on time and space (Haberman 8.2.2. (a))

0.408

3.4

Yes









54

Heat PDE in bar (1D)

left and right end nonhomogeneous held at fixed temperature, No source (Articolo 8.4.1)

15.249

0.54

No









55

Heat PDE in bar (1D)

left end held at fixed temperature, right end Robin BC, with source that depends on time (Articolo 8.4.3)

30.735

600.

No









56

Heat PDE in bar (1D)

left end insulated, right end set at fixed flux with no source

14.523

1.9

No









57

Heat PDE in bar (1D)

non zero heat flux at both ends, and no source

30.582

3.99

Yes









58

Heat PDE on semi-infinite domain (1D)

Left end \(u(0,t)=f(t)\), zero initial conditions, No source (Logan p. 76)

0.27

0.51

No









59

Heat PDE on semi-infinite domain (1D)

Left end \(u(0,t)=1\), zero initial conditions, No source

1.548

0.12

No









60

Heat PDE on semi-infinite domain (1D)

B.C. not located at \(x=0\) and I.C. not at \(t=0\)


due to IC/BC not zero

0.007

0.5

No









61

Heat PDE on semi-infinite domain (1D)

Left end at \(u(0,t)=\mu \), non zero initial conditions, No source

2.121

0.13

No









62

Heat PDE on semi-infinite domain (1D)

No condition on left end. Initial conditions given, no source

1.16

0.3

No









63

Heat PDE on semi-infinite domain (1D)

With advection term and initial conditons

0.361

0.25

No









64

Heat PDE on semi-infinite domain (1D)

Initial position as a UnitBox function

1.601

0.41

No









65

Heat PDE on semi-infinite domain (1D)

Left end fixed at specific temperature, non-zero initial conditions, no source

8.027

1.56

No









66

Heat PDE on semi-infinite domain (1D)

Left end function of temperature, zero initial conditions, no source

2.31

0.73

No









67

Heat PDE on semi-infinite domain (1D)

Left end insulated, initial conditions triangle function. No source

27.184

0.78

No









68

Heat PDE on semi-infinite domain (1D)

one end insulated at arbitray location, initial conditions not at \(t=0\). No source

0.009

0.62

No









69

Heat PDE on infinite domain, 1D

No boundary conditions specified. Initial conditions \(u(x,0)=\sin (x)\) and no source

5.638

0.25

No









70

Heat PDE on infinite domain, 1D

No intial conditions and no boundary conditions specified

0.002

0.05

No









71

Heat PDE on infinite domain, 1D

with source and a piecewise initial condition at \(t>0\)


due to i.c. not at zero

0.012

0.91

No









72

Heat PDE in rectangle

4 edges are fixed at zero temperature, No source

0.004

1.87

No









73

Heat PDE in rectangle

2 edges are fixed at zero temperature, 2 edges are insulated, internal source term

0.003

1.81

No









74

Heat PDE in rectangle

Rectangle plate, losing heat by convection (Articolo 6.6.3)

0.804

2.44

No









75

Heat PDE inside disk

circumference fixed at zero temperature, no \(\theta \) dependency, No source

1.407


But has unresolved inverse Laplace transforms

0.45

No









76

Heat PDE inside disk

circumference fixed at zero temperature, no \(\theta \) dependency, zero initial conditions, source that depends on time and radius (Haberman 8.3.5)

0.004

0.08

Yes









77

Heat PDE inside disk

Articolo example 6.9.1. On quarter disk, homogeneous BC (Articolo 6.9.1)

0.004

10.87

No









78

Heat PDE inside disk

On half disk, homogeneous BC (Articolo 6.9.2)

0.003

5.19

No









79

Heat PDE inside disk

Inside disk with time-independent boundary conditions and \(\theta \) dependency (Haberman 8.2.5)

0.003

0.56

Yes









80

Diffusion Reaction in 1D

using growth form for reaction term

22.728

0.55

No









81

Diffusion Reaction in 1D

using logistic form for reaction term

1.189

4.94

No









82

Diffusion Reaction in 1D

using Aleee form for reaction term

2.236

9.1

No









83

Laplace PDE in Cartesian coordinates

Laplace PDE inside rectangle (Haberman 2.5.1 (a))

0.187

14.11

No









84

Laplace PDE in Cartesian coordinates

Laplace PDE inside rectangle (Haberman 2.5.1 (b))

0.167

13.62

No









85

Laplace PDE in Cartesian coordinates

Laplace PDE inside rectangle (Haberman 2.5.1 (c))

0.282

15.39

No









86

Laplace PDE in Cartesian coordinates

Laplace PDE inside rectangle (Haberman 2.5.1 (d))

0.284

13.03

No









87

Laplace PDE in Cartesian coordinates

Laplace PDE inside rectangle (Haberman 2.5.1 (e))

0.564

21.5

Yes









88

Laplace PDE in Cartesian coordinates

Laplace PDE inside rectangle, top/bottom edges non-zero

2.092

2.72

No









89

Laplace PDE in Cartesian coordinates

Laplace PDE inside rectangle, top edge at infinity


May be there is workaround.

1.552

1.21

No









90

Laplace PDE in Cartesian coordinates

Laplace PDE in 2D Cartessian with boundary condition as Dirac function

0.039

0.33

No









91

Laplace PDE in Cartesian coordinates

Laplace PDE in rectangle, one side homogeneous and 3 sides are not

0.517

13.33

No









92

Laplace PDE in Cartesian coordinates

Laplace PDE example 18 from Maple help page

33.074

0.33

No









93

Laplace PDE in Cartesian coordinates

Laplace PDE on rectangle with one edge at infinity

1.434

5.52

No









94

Laplace PDE in Cartesian coordinates

Laplace PDE inside a disk, periodic boundary conditions

0.134

1.1

No









95

Laplace PDE in Cartesian coordinates

Dirichlet problem for the Laplace equation in upper half plan

1.564


used convert(sol,Int)

0.76

No









96

Laplace PDE in Cartesian coordinates

Dirichlet problem for the Laplace equation in right half-plane:

25.382

0.1

No









97

Laplace PDE in Cartesian coordinates

Dirichlet problem for the Laplace equation in the first quadrant

24.952

2.56

No









98

Laplace PDE in Cartesian coordinates

Neumann problem for the Laplace equation in the upper half-plane

13.069


used convert(sol,Int).

0.35

No









99

Laplace PDE in Cartesian coordinates

Dirichlet problem for the Laplace equation in a rectangle

1.2

1.22

No









100

Laplace PDE in Cartesian coordinates

Cartessian coordinates with boundary conditions on two sides only

0.211

1.14

No









101

Laplace PDE in Cartesian coordinates

in Rectangle, right edge at infinity

1.404

4.7

No









102

Laplace PDE in Cartesian coordinates

Laplace PDE inside quarter disk, Neumann BC at edge

1.429

1.28

No









103

Laplace PDE in Polar coordinates

Laplace PDE inside quarter-circle (Haberman 2.5.5 (c))

1.168

0.5

Yes









104

Laplace PDE in Polar coordinates

Laplace PDE inside semi-circle

1.462

0.56

Yes









105

Laplace PDE in Polar coordinates

Laplace PDE inside circular annulus, Neumann boundary conditions using unspecified functions (Haberman 2.5.8 (b))

0.009


But has unresolved Invfourier and Fourier calls

4.33

No









106

Laplace PDE in Polar coordinates

Laplace PDE inside circular annulus, Dirichlet boundary conditions using specified functions

1.312

0.93

No









107

Laplace PDE in Polar coordinates

Laplace PDE outside a disk, periodic boundary conditions

0.007

0.96

No









108

Laplace PDE in Spherical coordinates

Laplace in a sphere

0.02

0.57

No









109

Poisson PDE in Cartesian coordinates

Poisson equation in a rectangle, all boundaries are zero

0.007

9.23

Yes









110

Poisson PDE in Cartesian coordinates

Dirichlet problem for the Poisson equation in a rectangle

0.167

0.1

No









111

Helmholtz PDE in Cartesian coordinates

Dirichlet problem for the Helmholtz equation in a rectangle

2.193

3.34

No









112

Helmholtz PDE in Cartesian coordinates

With no boundary conditions specified


why? It solved earlier with BC?

0.004

0.04

No









113

Reduced Helmholtz PDE in Cartesian coordinates

Inside square

0.723

12.15

No









114

Wave PDE on finite length string

With zero initial position and velocity, and with source term (Logan p. 115)

0.131

0.25

No









115

Wave PDE on finite length string

Both ends fixed, zero initial position, non-zero initial velocity, with extra term present

8.824

1.02

No









116

Wave PDE on finite length string

One end fixed, another free, both initial conduitions non zero, and source that depends on time and space

0.786

39.93

No









117

Wave PDE on finite length string

Both ends fixed, no initial conduitions give and no source (Logan p. 28)

0.237

0.3

No









118

Wave PDE on finite length string

One end fixed, other free, initial position not zero, initial velocity zero, no source (Logan p. 130)

0.599

3.19

No









119

Wave PDE on finite length string

Both ends fixed end, initial conditions zero, with source as generic function that depends on time and space (Logan p. 149)

0.769

1.06

No









120

Wave PDE on finite length string

Both ends fixed end, initial position given, zero initial velocity, with source that depends on time and space (Haberman 8.5.2 (a))

0.806

6.3

No









121

Wave PDE on finite length string

Both ends fixed end, initial position given, zero initial velocity, with source that depends on time and space (Haberman 8.5.2 (b))

1.094

25.2

Yes









122

Wave PDE on finite length string

Both ends fixed, initial conditions both not zero, No source

36.008

1.72

No









123

Wave PDE on finite length string

Both ends fixed end, initial conditions both not zero, and with constant source

0.657

4.4

No









124

Wave PDE on finite length string

Both ends fixed end, with source (Logan p. 213)

0.646

3.7

No









125

Wave PDE on finite length string

Telegraphy PDE, both ends fixed with damping

31.252


But \(n = 1\) should not be included.

1.76

No









126

Wave PDE on finite length string

Both ends fixed. Initial velocity zero. Dispersion term present


Due to adding dispersion term

31.301

8.06

No









127

Wave PDE on finite length string

Both ends fixed, non-zero initial position


But sum should not include \(n=2\)

30.945


Handled \(n=2\) case correctly

7.5

No









128

Wave PDE on finite length string

Both ends fixed, zero initial position, non zero initial velocity, with source that depends on time and space

26.205

7.44

No









129

Wave PDE on finite length string

Left end fixed, right end oscillates, initially at rest. With source that depends on time and space

30.668

7.64

No









130

Wave PDE on semi-infinite domain

Left end having a moving boundary condition

6.524

0.34

No









131

Wave PDE on semi-infinite domain

Initial value with a Dirichlet condition on the half-line

23.231

2.05

No









132

Wave PDE on semi-infinite domain

Initial value problem with a Neumann condition on the half-line

12.001

0.42

No









133

Wave PDE on semi-infinite domain

With initial conditions given at \(t=1\) instead of \(t=0\)

22.004

0.24

No









134

Wave PDE on semi-infinite domain

initial conditions at \(t=0\) but B.C. at \(x=1\)

9.092

0.34

No









135

Wave PDE on semi-infinite domain

initial conditions at \(t=1\) with source that depends on time and space

0.008

1.62

No









136

Wave PDE on semi-infinite domain

Left end free with initial position and velocity given

0.13

0.18

No









137

Wave PDE 1D infinite domain

General solution for a second-order hyperbolic PDE on real line

0.003

0.15

No









138

Wave PDE 1D infinite domain

With initial conditions specified, no source

0.044

0.06

No









139

Wave PDE 1D infinite domain

Wave PDE on infinite domain with initial conditions specified, with source term

0.009

0.08

No









140

Wave PDE 1D infinite domain

non-linear wave PDE (Solitons)

0.042


Returning a solution that is not the most general one

0.11

No









141

Wave PDE 1D infinite domain

Hyperbolic PDE with non-rational coefficients

0.108

0.07

No









142

Wave PDE 1D infinite domain

Inhomogeneous hyperbolic PDE with constant coefficients

0.003

0.08

No









143

Wave PDE 1D infinite domain

system of 2 inhomogeneous linear hyperbolic system with constant coefficients

0.268

0.26

No









144

Wave PDE in 2D Cartesian coordinates

In square, given initial position but with zero initial velocity

0.003

5.16

No









145

Wave PDE in 2D Cartesian coordinates

In square with damping. Given zero initial position but with non-zero initial velocity

0.003

12.52

No









146

Wave PDE in 2D Cartesian coordinates

In rectangle. All 4 edges are fixed and given non-zero initial position with zero initial velocity

0.805

2.43

No









147

Wave PDE in 2D Cartesian coordinates

In rectangle. All 4 edges are fixed and given non-zero initial position with zero initial velocity (Haberman 8.5.5 (a))

0.003

0.11

No









148

Wave PDE in 2D Polar coordinates

In circular disk. fixed edge of disk, no \(\theta \) dependency, with initial position and velocity given

30.994


Has unresolved Invlaplace calls

31.93

No









149

Wave PDE in 2D Polar coordinates

In circular disk. fixed edge of disk, with \(\theta \) dependency, zero initial velocity

0.004

0.18

No









150

Wave PDE in 3D Spherical coordinates

No initial and no boundary conditions given

0.029

0.99

No









151

Wave PDE in 3D Cylindrical coordinates

No initial and no boundary conditions given

0.003

0.2

No









152

Schrodinger PDE

Schrodinger PDE with zero potential (Logan p. 30)

0.251

0.43

No









153

Schrodinger PDE

Schrodinger PDE with initial and boundary conditions. Zero potential

0.013

4.12

No









154

Schrodinger PDE

Initial value problem with Dirichlet boundary conditions. Zero potential

0.728

1.12

No









155

Schrodinger PDE

Solve a Schrodinger equation with potential over the whole real line

0.004


Maple does not support \(\infty \) in boundary conditions

0.

No









156

Schrodinger PDE

Schrodinger equation, with initial conditions. Zero potential (Griffiths p. 47)

35.591

1.18

No









157

Schrodinger PDE

Schrodinger equation, with initial conditions. Infinite square well potential (Griffiths p. 47)

0.01

0.49

No









158

Schrodinger PDE

In 2 space dimensions

0.653

4.95

No









159

Beam PDE

Beam PDE with zero initial velocity

0.19

0.11

No









160

Burger’s PDE

viscous fluid flow with no initial conditions

0.029

0.1

No









161

Burger’s PDE

viscous fluid flow with initial conditions

7.325

0.6

No









162

Burger’s PDE

viscous fluid flow with initial conditions as UnitBox

11.369

0.7

No









163

Black Scholes PDE

classic Black Scholes model from finance, European call version

2.939

0.61

No









164

Black Scholes PDE

Boundary value problem for the Black Scholes equation

1.026

1.87

No









165

Korteweg-deVries PDE

Korteweg-deVries (waves on shallow water surfaces) with no initial conditions

0.036

0.11

No









166

Tricomi PDE

Boundary value problem for the Tricomi equation

5.243

2.91

No









167

Cauchy Riemann PDE’s

Cauchy Riemann PDE with Prescribe the values of \(u\) and \(v\) on the \(x\) axis

0.003

0.23

No









168

Cauchy Riemann PDE’s

Cauchy Riemann PDE With extra term on right side

0.001

0.08

No









169

Hamilton-Jacobi PDE

Hamilton-Jacobi type PDE

0.05

0.23

No









170

miscellaneous PDE’s

A second order PDE

0.034

0.06

No









171

miscellaneous PDE’s

second order PDE in Polar coordinates

0.011

0.46

No









172

miscellaneous PDE’s

Laplace like PDE with polynomial solution

4.571

1.34

No









173

miscellaneous PDE’s

Third oder PDE

0.271

12.38

No









174

miscellaneous PDE’s

PDE solved by Laplace transform

0.181

0.29

No









175

miscellaneous PDE’s

Linear PDE, initial conditions at \(t=1\)

0.003

0.46

No









176

miscellaneous PDE’s

Linear PDE, initial conditions at \(t=t_0\)

0.003

0.32

No









177

miscellaneous PDE’s

second order in time, Linear PDE, initial conditions at \(t=t_0\)

0.003

0.45

No









178

miscellaneous PDE’s

Einstein-Weiner PDE

0.003

0.2

No









179

Nonlinear PDE’s

Bateman-Burgers equation

0.019

0.11

No









180

Nonlinear PDE’s

Benjamin Bona Mahony

0.03

0.12

No









181

Nonlinear PDE’s

Benjamin Ono

0.018

0.11

No









182

Nonlinear PDE’s

Born Infeld

0.007


Mathematica’s solution is simpler. Verified both correct.

0.23

No









183

Nonlinear PDE’s

Boussinesq

0.039

0.13

No









184

Nonlinear PDE’s

Boussinesq type PDE

0.038

0.15

No









185

Nonlinear PDE’s

Buckmaster

0.062


Answer in terms of RootOf.

0.57

No









186

Nonlinear PDE’s

Camassa Holm

0.171


Answer in terms of RootOf.

2.

No









187

Nonlinear PDE’s

Chaffee Infante equation

0.087

0.28

No









188

Nonlinear PDE’s

Clarke’s equation

0.009

0.04

No









189

Nonlinear PDE’s

Degasperis Procesi

0.166


But still has unresolved ODE’s in solution

0.58

No









190

Nonlinear PDE’s

Dym equation

0.081


has RootOf

0.48

No









191

Nonlinear PDE’s

Estevez Mansfield Clarkson equation

0.031

0.19

No









192

Nonlinear PDE’s

Fisher’s equation

0.048

0.26

No









193

Nonlinear PDE’s

Hunter Saxton

0.042


with RootOf

0.14

No









194

Nonlinear PDE’s

Kadomtsev Petviashvili

0.067

0.18

No









195

Nonlinear PDE’s

Klein Gordon (nonlinear)

0.004

0.05

No









196

Nonlinear PDE’s

special case Klein Gordon (nonlinear)

0.211

0.65

No









197

Nonlinear PDE’s

Khokhlov Zabolotskaya

0.056

0.42

No









198

Nonlinear PDE’s

Korteweg de Vries (KdV)

0.013

0.07

No









199

Nonlinear PDE’s

Lin Tsien equation

0.07

0.41

No









200

Nonlinear PDE’s

Liouville equation

0.003

0.04

No









201

Nonlinear PDE’s

Plateau

0.031

0.27

No









202

Nonlinear PDE’s

Rayleigh

0.074


Has RootOf

0.18

No









203

Nonlinear PDE’s

Sawada Kotera

0.081

0.27

No









204

Nonlinear PDE’s

Sine Gordon

0.007

0.02

No









205

Nonlinear PDE’s

Sinh Gordon

0.007

0.01

No









206

Nonlinear PDE’s

Sinh Poisson

0.014

0.01

No









207

Nonlinear PDE’s

Thomas equation

0.061

0.5

No









208

Nonlinear PDE’s

phi equation

0.041

0.26

No









209

HFOPDE, chapter 1

problem number 1

0.021

0.01

No









210

HFOPDE, chapter 1

problem number 2

0.02

0.

No









211

HFOPDE, chapter 1

problem number 3

0.022

0.

No









212

HFOPDE, chapter 1

problem number 4

0.019

0.

No









213

HFOPDE, chapter 1

problem number 5

0.31

0.01

No









214

HFOPDE, chapter 1

problem number 6

0.315

0.01

No









215

HFOPDE, chapter 2.2.1

problem number 1

0.003


Solution missing \(a,b\) compared to book, but technically still correct.

0.

Yes









216

HFOPDE, chapter 2.2.1

problem number 2

0.005

0.02

Yes









217

HFOPDE, chapter 2.2.1

problem number 3

0.018

0.03

Yes









218

HFOPDE, chapter 2.2.1

problem number 4

0.005

0.02

Yes









219

HFOPDE, chapter 2.2.1

problem number 5

0.008

0.08

No









220

HFOPDE, chapter 2.2.1

problem number 6

0.06

0.09

No









221

HFOPDE, chapter 2.2.1

problem number 7

0.021


But Mathematica solution is simpler, both verified correct

0.75

No









222

HFOPDE, chapter 2.2.1

problem number 8

1.783

1.08

No









223

HFOPDE, chapter 2.2.2

problem number 1

0.005

0.01

No









224

HFOPDE, chapter 2.2.2

problem number 2

0.09

0.1

No









225

HFOPDE, chapter 2.2.2

problem number 3

0.028

0.02

No









226

HFOPDE, chapter 2.2.2

problem number 4

0.191

0.1

No









227

HFOPDE, chapter 2.2.2

problem number 5

0.076

0.14

No









228

HFOPDE, chapter 2.2.2

problem number 6

0.138

0.1

No









229

HFOPDE, chapter 2.2.2

problem number 7

0.153

0.94

No









230

HFOPDE, chapter 2.2.2

problem number 8

0.222

0.17

No









231

HFOPDE, chapter 2.2.2

problem number 9

0.071

0.2

No









232

HFOPDE, chapter 2.2.2

problem number 10

0.044

0.08

No









233

HFOPDE, chapter 2.2.2

problem number 11

0.117

0.06

No









234

HFOPDE, chapter 2.2.2

problem number 12

0.282

0.26

No









235

HFOPDE, chapter 2.2.2

problem number 13

0.009

0.03

No









236

HFOPDE, chapter 2.2.2

problem number 14

0.028

0.25

No









237

HFOPDE, chapter 2.2.2

problem number 15

0.168

0.19

No









238

HFOPDE, chapter 2.2.2

problem number 16

0.817

0.18

No









239

HFOPDE, chapter 2.2.2

problem number 17

0.527

0.3

No









240

HFOPDE, chapter 2.2.2

problem number 18

0.023

0.06

No









241

HFOPDE, chapter 2.2.2

problem number 19

0.071

0.14

No









242

HFOPDE, chapter 2.2.2

problem number 20

0.05

0.22

No









243

HFOPDE, chapter 2.2.2

problem number 21

0.05

0.13

No









244

HFOPDE, chapter 2.2.2

problem number 22

0.099

0.37

No









245

HFOPDE, chapter 2.2.2

problem number 23

0.033

0.21

No









246

HFOPDE, chapter 2.2.2

problem number 24

0.064

0.16

No









247

HFOPDE, chapter 2.2.2

problem number 25

(Timed out)

600.

(Timed out)

600.

No









248

HFOPDE, chapter 2.2.2

problem number 26

268.926

29.33

No









249

HFOPDE, chapter 2.2.2

problem number 27

101.494

2.1

No









250

HFOPDE, chapter 2.2.2

problem number 28

0.07


solution contains RootOf

0.2

No









251

HFOPDE, chapter 2.2.2

problem number 29

101.088

1.12

No









252

HFOPDE, chapter 2.2.2

problem number 30

0.066

0.16

No









253

HFOPDE, chapter 2.2.2

problem number 31, Hesse’s equation

235.962

8.47

No









254

HFOPDE, chapter 2.2.3

problem number 1


But it can’t solve it when assuming \(b>0\) which is strange.

0.065


Mathematica solution is much simpler

1.62

No









255

HFOPDE, chapter 2.2.3

problem number 2

0.093

0.12

No









256

HFOPDE, chapter 2.2.3

problem number 3

0.06

0.74

No









257

HFOPDE, chapter 2.2.3

problem number 4

0.089

0.81

No









258

HFOPDE, chapter 2.2.3

problem number 5

0.373


Answer contains RootOf

0.12

No









259

HFOPDE, chapter 2.2.3

problem number 6

0.071


Answer contains RootOf

0.05

No









260

HFOPDE, chapter 2.2.3

problem number 7

0.04

0.11

No









261

HFOPDE, chapter 2.2.3

problem number 8

0.017

0.05

No









262

HFOPDE, chapter 2.2.3

problem number 9

(Timed out)

600.

0.04

No









263

HFOPDE, chapter 2.2.4

problem number 1

0.018

0.02

No









264

HFOPDE, chapter 2.2.4

problem number 2

0.118

0.2

No









265

HFOPDE, chapter 2.2.4

problem number 3

0.224

0.19

No









266

HFOPDE, chapter 2.2.4

problem number 4

0.182

0.92

No









267

HFOPDE, chapter 2.2.4

problem number 5

0.188

(Timed out)

600.

No









268

HFOPDE, chapter 2.2.4

problem number 6

1.7

0.41

No









269

HFOPDE, chapter 2.2.4

problem number 7

1.046

2.01

No









270

HFOPDE, chapter 2.2.5

problem number 1

0.031

0.12

No









271

HFOPDE, chapter 2.2.5

problem number 2

0.095

0.28

No









272

HFOPDE, chapter 2.2.5

problem number 3

0.03

0.1

No









273

HFOPDE, chapter 2.2.5

problem number 4

20.325

0.91

No









274

HFOPDE, chapter 2.2.5

problem number 5

0.336

0.3

No









275

HFOPDE, chapter 2.2.5

problem number 6

(Timed out)

600.

1.48

No









276

HFOPDE, chapter 2.2.5

problem number 7

0.101

0.13

No









277

HFOPDE, chapter 2.2.5

problem number 8

22.769

2.1

No









278

HFOPDE, chapter 2.2.5

problem number 9

0.921

3.27

No









279

HFOPDE, chapter 2.2.5

problem number 10

(Timed out)

600.

2.41

No









280

HFOPDE, chapter 2.2.5

problem number 11

25.391

6.34

No









281

HFOPDE, chapter 2.2.5

problem number 12

25.373

4.14

No









282

HFOPDE, chapter 2.2.5

problem number 13

30.129

9.46

No









283

HFOPDE, chapter 2.2.5

problem number 14

1.546


Solution contains RootOf

0.15

No









284

HFOPDE, chapter 2.2.5

problem number 15

0.413

1.3

No









285

HFOPDE, chapter 2.2.5

problem number 16

88.877

46.76

No









286

HFOPDE, chapter 2.2.5

problem number 17

144.362

0.67

No









287

HFOPDE, chapter 2.2.5

problem number 18

86.632

0.75

No









288

HFOPDE, chapter 2.2.5

problem number 19

(Timed out)

600.

0.9

No









289

HFOPDE, chapter 2.2.5

problem number 20

0.054

0.18

No









290

HFOPDE, chapter 2.2.5

problem number 21

0.389

0.21

No









291

HFOPDE, chapter 2.2.5

problem number 22

0.224

0.13

No









292

HFOPDE, chapter 2.2.5

problem number 23

26.614

0.17

No









293

HFOPDE, chapter 2.2.5

problem number 24

0.122

0.08

No









294

HFOPDE, chapter 2.2.5

problem number 25

0.318

0.06

No









295

HFOPDE, chapter 2.2.5

problem number 26

0.499

0.12

No









296

HFOPDE, chapter 2.2.5

problem number 27

0.094

0.16

No









297

HFOPDE, chapter 2.2.5

problem number 28

0.105


Solution contains RootOf

0.11

No









298

HFOPDE, chapter 2.2.5

problem number 29

0.114


Solution contains RootOf

0.08

No









299

HFOPDE, chapter 2.2.5

problem number 30

0.392

2.57

No









300

HFOPDE, chapter 2.2.5

problem number 31

22.68

2.43

No









301

HFOPDE, chapter 2.2.5

problem number 32

145.72

21.65

No









302

HFOPDE, chapter 2.2.5

problem number 33

0.075

0.27

No









303

HFOPDE, chapter 2.2.5

problem number 34

0.025

0.12

No









304

HFOPDE, chapter 2.2.5

problem number 35

0.051

0.15

No









305

HFOPDE, chapter 2.2.5

problem number 36

0.167

0.3

No









306

HFOPDE, chapter 2.2.5

problem number 37

(Timed out)

600.

0.56

No









307

HFOPDE, chapter 2.2.5

problem number 38

1.329

0.3

No









308

HFOPDE, chapter 2.2.5

problem number 39

0.08

0.22

No









309

HFOPDE, chapter 2.2.5

problem number 40

140.148

26.92

No









310

HFOPDE, chapter 2.2.5

problem number 41

0.141

0.35

No









311

HFOPDE, chapter 2.2.5

problem number 42

3.373

1.36

No









312

HFOPDE, chapter 2.2.5

problem number 43

2.53

3.05

No









313

HFOPDE, chapter 2.2.5

problem number 44

141.42

17.89

No









314

HFOPDE, chapter 2.2.5

problem number 45

141.973

25.44

No









315

HFOPDE, chapter 2.2.5

problem number 46

(Timed out)

600.

7.56

No









316

HFOPDE, chapter 2.2.5

problem number 47

40.931

0.2

No









317

HFOPDE, chapter 2.2.5

problem number 48

35.988

0.69

No









318

HFOPDE, chapter 2.2.5

problem number 49

24.009

15.22

No









319

HFOPDE, chapter 2.2.5

problem number 50

112.817

79.44

No









320

HFOPDE, chapter 2.2.5

problem number 51

0.143

1.46

No









321

HFOPDE, chapter 2.2.5

problem number 52

9.488

2.89

No









322

HFOPDE, chapter 2.2.5

problem number 53

0.262

1.1

No









323

HFOPDE, chapter 2.2.5

problem number 54

0.171

2.69

No









324

HFOPDE, chapter 2.2.5

problem number 55

26.003

9.59

No









325

HFOPDE, chapter 2.2.5

problem number 56

(Timed out)

422.926

1.89

No









326

HFOPDE, chapter 2.3.1

problem number 1

0.011

0.03

No









327

HFOPDE, chapter 2.3.1

problem number 2

0.016

0.01

No









328

HFOPDE, chapter 2.3.1

problem number 3

0.081

0.94

No









329

HFOPDE, chapter 2.3.1

problem number 4

0.128

0.91

No









330

HFOPDE, chapter 2.3.1

problem number 5

22.988

1.33

No









331

HFOPDE, chapter 2.3.1

problem number 6

0.029

0.1

No









332

HFOPDE, chapter 2.3.1

problem number 7

0.096

0.05

No









333

HFOPDE, chapter 2.3.1

problem number 8

0.152


Has RootOf

1.59

No









334

HFOPDE, chapter 2.3.1

problem number 9

0.096

0.34

No









335

HFOPDE, chapter 2.3.1

problem number 10

0.127

1.84

No









336

HFOPDE, chapter 2.3.1

problem number 11

2.009

3.34

No









337

HFOPDE, chapter 2.3.2

problem number 1

0.442

0.57

No









338

HFOPDE, chapter 2.3.2

problem number 2

0.721

0.3

No









339

HFOPDE, chapter 2.3.2

problem number 3

0.219

0.09

No









340

HFOPDE, chapter 2.3.2

problem number 4

36.307

0.26

No









341

HFOPDE, chapter 2.3.2

problem number 5

0.117

0.13

No









342

HFOPDE, chapter 2.3.2

problem number 6

22.289

8.44

No









343

HFOPDE, chapter 2.3.2

problem number 7

0.151

0.19

No









344

HFOPDE, chapter 2.3.2

problem number 8


kernel error generated

0.451

0.14

No









345

HFOPDE, chapter 2.3.2

problem number 9

0.809

0.55

No









346

HFOPDE, chapter 2.3.2

problem number 10

0.772

0.48

No









347

HFOPDE, chapter 2.3.2

problem number 11

21.587

0.67

No









348

HFOPDE, chapter 2.3.2

problem number 12

1.637

0.18

No









349

HFOPDE, chapter 2.3.2

problem number 13

0.058

0.12

No









350

HFOPDE, chapter 2.3.2

problem number 14

23.167

6.48

No









351

HFOPDE, chapter 2.3.2

problem number 15

(Timed out)

600.

1.32

No









352

HFOPDE, chapter 2.3.2

problem number 16

22.107

5.7

No









353

HFOPDE, chapter 2.3.2

problem number 17

222.07

0.86

No









354

HFOPDE, chapter 2.3.2

problem number 18

22.419

3.93

No









355

HFOPDE, chapter 2.3.2

problem number 19

0.103

0.15

No









356

HFOPDE, chapter 2.3.2

problem number 20

22.246

5.22

No









357

HFOPDE, chapter 2.3.2

problem number 21

23.949

5.63

No









358

HFOPDE, chapter 2.3.2

problem number 22

1.745

0.19

No









359

HFOPDE, chapter 2.3.2

problem number 23

0.113

0.22

No









360

HFOPDE, chapter 2.3.2

problem number 24

21.324

3.03

No









361

HFOPDE, chapter 2.3.2

problem number 25

0.133

0.13

No









362

HFOPDE, chapter 2.3.2

problem number 26

0.157

0.14

No









363

HFOPDE, chapter 2.3.2

problem number 27

0.609


Solution contains RootOf

0.17

No









364

HFOPDE, chapter 2.3.2

problem number 28

6.496

0.19

No









365

HFOPDE, chapter 2.3.2

problem number 29

0.08

0.17

No









366

HFOPDE, chapter 2.3.2

problem number 30

2.582

0.16

No









367

HFOPDE, chapter 2.3.2

problem number 31

46.99

11.4

No









368

HFOPDE, chapter 2.3.2

problem number 32

0.046

0.19

No









369

HFOPDE, chapter 2.3.2

problem number 33

0.081

0.24

No









370

HFOPDE, chapter 2.3.2

problem number 34

(Timed out)

600.

5.26

No









371

HFOPDE, chapter 2.3.2

problem number 35

(Timed out)

600.

3.56

No









372

HFOPDE, chapter 2.3.2

problem number 36

(Timed out)

600.

3.55

No









373

HFOPDE, chapter 2.4.1

problem number 1

0.014

0.03

No









374

HFOPDE, chapter 2.4.1

problem number 2

0.048

0.27

No









375

HFOPDE, chapter 2.4.1

problem number 3

59.26

1.74

No









376

HFOPDE, chapter 2.4.1

problem number 4

42.041

0.35

No









377

HFOPDE, chapter 2.4.1

problem number 5

54.596

2.07

No









378

HFOPDE, chapter 2.4.1

problem number 6

0.183

0.08

No









379

HFOPDE, chapter 2.4.1

problem number 7

0.022

0.06

No









380

HFOPDE, chapter 2.4.2

problem number 1

0.011

0.01

No









381

HFOPDE, chapter 2.4.2

problem number 2

0.032

0.26

No









382

HFOPDE, chapter 2.4.2

problem number 3

58.088

2.79

No









383

HFOPDE, chapter 2.4.2

problem number 4

58.999

1.94

No









384

HFOPDE, chapter 2.4.2

problem number 5

(Timed out)

600.

1.85

No









385

HFOPDE, chapter 2.4.2

problem number 6

(Timed out)

600.

5.58

No









386

HFOPDE, chapter 2.4.2

problem number 7

(Timed out)

600.

1.6

No









387

HFOPDE, chapter 2.4.2

problem number 8

0.038

0.07

No









388

HFOPDE, chapter 2.4.3

problem number 1

0.021

0.02

No









389

HFOPDE, chapter 2.4.3

problem number 2

0.03

0.

No









390

HFOPDE, chapter 2.4.3

problem number 3

2.305

0.68

No









391

HFOPDE, chapter 2.4.3

problem number 4

42.71

1.83

No









392

HFOPDE, chapter 2.4.3

problem number 5

(Timed out)

600.

3.06

No









393

HFOPDE, chapter 2.4.3

problem number 6

(Timed out)

600.

3.67

No









394

HFOPDE, chapter 2.4.3

problem number 7

(Timed out)

600.

1.86

No









395

HFOPDE, chapter 2.4.3

problem number 8

285.009

0.11

No









396

HFOPDE, chapter 2.4.4

problem number 1

0.021

0.02

No









397

HFOPDE, chapter 2.4.4

problem number 2

0.032

0.92

No









398

HFOPDE, chapter 2.4.4

problem number 3

2.063

0.73

No









399

HFOPDE, chapter 2.4.4

problem number 4

3.979

0.63

No









400

HFOPDE, chapter 2.4.5

problem number 1

0.065

0.38

No









401

HFOPDE, chapter 2.4.5

problem number 2

0.169

0.1

No









402

HFOPDE, chapter 2.4.5

problem number 3

1.754

0.61

No









403

HFOPDE, chapter 2.4.5

problem number 4

13.368

5.34

No









404

HFOPDE, chapter 2.4.5

problem number 5

0.035

0.05

No









405

HFOPDE, chapter 2.4.5

problem number 6

(Timed out)

600.

4.68

No









406

HFOPDE, chapter 2.5.1

problem number 1

0.033

0.04

No









407

HFOPDE, chapter 2.5.1

problem number 3

574.234

0.04

No









408

HFOPDE, chapter 2.5.1

problem number 4

(Timed out)

600.

0.1

No









409

HFOPDE, chapter 2.5.2

problem number 1

0.066

0.18

No









410

HFOPDE, chapter 2.5.2

problem number 2

0.077

0.08

No









411

HFOPDE, chapter 2.5.2

problem number 3

(Timed out)

600.

0.29

No









412

HFOPDE, chapter 2.5.2

problem number 4

21.998

0.3

No









413

HFOPDE, chapter 2.5.2

problem number 5

22.667

2.87

No









414

HFOPDE, chapter 2.5.2

problem number 6

26.276

1.13

No









415

HFOPDE, chapter 2.5.2

problem number 7

26.528

2.63

No









416

HFOPDE, chapter 2.5.2

problem number 8

23.434

2.35

No









417

HFOPDE, chapter 2.5.2

problem number 9

0.211

0.14

No









418

HFOPDE, chapter 2.5.2

problem number 10

(Timed out)

600.

0.9

No









419

HFOPDE, chapter 2.5.2

problem number 11

0.068

1.24

No









420

HFOPDE, chapter 2.5.2

problem number 12

20.674

1.21

No









421

HFOPDE, chapter 2.5.2

problem number 13

22.797

1.99

No









422

HFOPDE, chapter 2.5.2

problem number 14

21.9

1.19

No









423

HFOPDE, chapter 2.5.2

problem number 15

0.15

0.25

No









424

HFOPDE, chapter 2.5.2

problem number 16

0.057

0.07

No









425

HFOPDE, chapter 2.5.2

problem number 17

0.657

0.19

No









426

HFOPDE, chapter 2.5.2

problem number 18

(Timed out)

600.

0.49

No









427

HFOPDE, chapter 2.5.2

problem number 19

(Timed out)

600.

1.45

No









428

HFOPDE, chapter 2.5.2

problem number 20

(Timed out)

600.

1.22

No









429

HFOPDE, chapter 2.5.2

problem number 21

26.047

0.09

No









430

HFOPDE, chapter 2.5.2

problem number 22

(Timed out)

600.

0.66

No









431

HFOPDE, chapter 2.5.2

problem number 23

(Timed out)

600.

0.25

No









432

HFOPDE, chapter 2.6.1

problem number 1

0.23


contains unresolved integral

0.44

No









433

HFOPDE, chapter 2.6.1

problem number 2


contains unresolved integral

395.282


contains unresolved integral

0.69

No









434

HFOPDE, chapter 2.6.1

problem number 3

0.532


contains unresolved integral

0.92

No









435

HFOPDE, chapter 2.6.1

problem number 4

(Timed out)

600.


contains unresolved integral

1.27

No









436

HFOPDE, chapter 2.6.1

problem number 5

41.578

2.06

No









437

HFOPDE, chapter 2.6.1

problem number 6

44.198


contains unresolved integrals

0.22

No









438

HFOPDE, chapter 2.6.1

problem number 7

29.047


contains unresolved integrals

3.92

No









439

HFOPDE, chapter 2.6.1

problem number 8

41.973

0.39

No









440

HFOPDE, chapter 2.6.1

problem number 9

43.284

4.68

No









441

HFOPDE, chapter 2.6.1

problem number 10

44.321

1.75

No









442

HFOPDE, chapter 2.6.1

problem number 11

(Timed out)

600.

(Timed out)

600.

No









443

HFOPDE, chapter 2.6.1

problem number 12

(Timed out)

600.

(Timed out)

600.

No









444

HFOPDE, chapter 2.6.1

problem number 13

86.402

0.26

No









445

HFOPDE, chapter 2.6.1

problem number 14

(Timed out)

600.

1.23

No









446

HFOPDE, chapter 2.6.2

problem number 1

0.287


Contains unresolved integral

0.2

No









447

HFOPDE, chapter 2.6.2

problem number 2

264.727

0.32

No









448

HFOPDE, chapter 2.6.2

problem number 3

360.04

1.4

No









449

HFOPDE, chapter 2.6.2

problem number 4

(Timed out)

600.

0.55

No









450

HFOPDE, chapter 2.6.2

problem number 5

41.444

0.47

No









451

HFOPDE, chapter 2.6.2

problem number 6

41.836

0.35

No









452

HFOPDE, chapter 2.6.2

problem number 7

44.014

0.84

No









453

HFOPDE, chapter 2.6.2

problem number 8

43.815

0.84

No









454

HFOPDE, chapter 2.6.2

problem number 9

(Timed out)

600.

1.99

No









455

HFOPDE, chapter 2.6.2

problem number 10

(Timed out)

600.

3.11

No









456

HFOPDE, chapter 2.6.2

problem number 11

(Timed out)

600.

6.04

No









457

HFOPDE, chapter 2.6.2

problem number 12

(Timed out)

600.

2.44

No









458

HFOPDE, chapter 2.6.3

problem number 1

0.038

0.01

No









459

HFOPDE, chapter 2.6.3

problem number 2

0.145

0.14

No









460

HFOPDE, chapter 2.6.3

problem number 3

0.348


Has unresolved integrals

0.46

No









461

HFOPDE, chapter 2.6.3

problem number 4

42.7

0.38

No









462

HFOPDE, chapter 2.6.3

problem number 5

44.273

0.38

No









463

HFOPDE, chapter 2.6.3

problem number 6

(Timed out)

587.503

0.64

No









464

HFOPDE, chapter 2.6.3

problem number 7

227.248

(Timed out)

600.

No









465

HFOPDE, chapter 2.6.3

problem number 8

39.87

(Timed out)

600.

No









466

HFOPDE, chapter 2.6.3

problem number 9

(Timed out)

600.

(Timed out)

600.

No









467

HFOPDE, chapter 2.6.3

problem number 10

272.612

0.2

No









468

HFOPDE, chapter 2.6.3

problem number 11

(Timed out)

600.

11.42

No









469

HFOPDE, chapter 2.6.3

problem number 12

571.413

2.01

No









470

HFOPDE, chapter 2.6.3

problem number 13

(Timed out)

600.

1.69

No









471

HFOPDE, chapter 2.6.3

problem number 14

(Timed out)

600.

3.3

No









472

HFOPDE, chapter 2.6.3

problem number 15

(Timed out)

597.425

1.99

No









473

HFOPDE, chapter 2.6.4

problem number 1

0.191


Has unresolved integral

0.16

No









474

HFOPDE, chapter 2.6.4

problem number 2

350.865

0.16

No









475

HFOPDE, chapter 2.6.4

problem number 3

(Timed out)

600.

0.33

No









476

HFOPDE, chapter 2.6.4

problem number 4

42.78

0.38

No









477

HFOPDE, chapter 2.6.4

problem number 5

44.481

0.48

No









478

HFOPDE, chapter 2.6.4

problem number 6

0.289

0.1

No









479

HFOPDE, chapter 2.6.4

problem number 7

0.136

0.62

No









480

HFOPDE, chapter 2.6.4

problem number 8

0.116

0.25

No









481

HFOPDE, chapter 2.6.4

problem number 9

0.821

0.38

No









482

HFOPDE, chapter 2.6.4

problem number 10

1.303

0.98

No









483

HFOPDE, chapter 2.6.4

problem number 11

0.114

0.23

No









484

HFOPDE, chapter 2.6.4

problem number 12

600.

0.79

No









485

HFOPDE, chapter 2.6.5

problem number 1

0.657


Has unresolved integrals

0.69

No









486

HFOPDE, chapter 2.6.5

problem number 2

1.025

0.42

No









487

HFOPDE, chapter 2.6.5

problem number 3

0.562


Mathematica answer is simpler

0.55

No









488

HFOPDE, chapter 2.6.5

problem number 4

24.048

(Timed out)

600.

No









489

HFOPDE, chapter 2.6.5

problem number 5

42.472

0.71

No









490

HFOPDE, chapter 2.6.5

problem number 6

60.923

0.96

No









491

HFOPDE, chapter 2.6.5

problem number 7

(Timed out)

600.

(Timed out)

600.

No









492

HFOPDE, chapter 2.6.5

problem number 8

24.592

0.33

No









493

HFOPDE, chapter 2.6.5

problem number 9

23.545

0.

No









494

HFOPDE, chapter 2.6.5

problem number 10

39.682

1.04

No









495

HFOPDE, chapter 2.6.5

problem number 11

(Timed out)

600.

224.27

No









496

HFOPDE, chapter 2.7.1

problem number 1

0.096

0.12

No









497

HFOPDE, chapter 2.7.1

problem number 2

600.

0.1

No









498

HFOPDE, chapter 2.7.1

problem number 3

274.513

0.15

No









499

HFOPDE, chapter 2.7.1

problem number 4

0.236

0.16

No









500

HFOPDE, chapter 2.7.1

problem number 5

210.37

0.6

No









501

HFOPDE, chapter 2.7.1

problem number 6

22.494

1.48

No









502

HFOPDE, chapter 2.7.1

problem number 7

26.791

1.21

No









503

HFOPDE, chapter 2.7.1

problem number 8

225.976

0.56

No









504

HFOPDE, chapter 2.7.1

problem number 9

275.922

48.73

No









505

HFOPDE, chapter 2.7.1

problem number 10

35.736

61.44

No









506

HFOPDE, chapter 2.7.1

problem number 11

600.

0.13

No









507

HFOPDE, chapter 2.7.1

problem number 12

62.942

0.15

No









508

HFOPDE, chapter 2.7.2

problem number 1

0.092

0.08

No









509

HFOPDE, chapter 2.7.2

problem number 2

600.

0.09

No









510

HFOPDE, chapter 2.7.2

problem number 3

(Timed out)

600.

0.13

No









511

HFOPDE, chapter 2.7.2

problem number 4

0.198

0.18

No









512

HFOPDE, chapter 2.7.2

problem number 5

(Timed out)

600.

5.95

No









513

HFOPDE, chapter 2.7.2

problem number 6

28.905

14.34

No









514

HFOPDE, chapter 2.7.2

problem number 7

257.267

1.19

No









515

HFOPDE, chapter 2.7.2

problem number 8

(Timed out)

600.

5.5

No









516

HFOPDE, chapter 2.7.2

problem number 9

250.715

47.68

No









517

HFOPDE, chapter 2.7.2

problem number 10

36.64

59.83

No









518

HFOPDE, chapter 2.7.2

problem number 11

(Timed out)

600.

0.14

No









519

HFOPDE, chapter 2.7.2

problem number 12

60.138

0.14

No









520

HFOPDE, chapter 2.7.3

problem number 1

600.

0.09

No









521

HFOPDE, chapter 2.7.3

problem number 2

(Timed out)

600.

0.22

No









522

HFOPDE, chapter 2.7.3

problem number 3

600.

0.38

No









523

HFOPDE, chapter 2.7.3

problem number 4

600.

0.16

No









524

HFOPDE, chapter 2.7.3

problem number 5

(Timed out)

600.

0.77

No









525

HFOPDE, chapter 2.7.3

problem number 6

521.971

0.48

No









526

HFOPDE, chapter 2.7.3

problem number 7

(Timed out)

600.

1.18

No









527

HFOPDE, chapter 2.7.3

problem number 8

(Timed out)

600.

0.04

No









528

HFOPDE, chapter 2.7.3

problem number 9

(Timed out)

600.

10.79

No









529

HFOPDE, chapter 2.7.3

problem number 10

39.072

515.11

No









530

HFOPDE, chapter 2.7.3

problem number 11

(Timed out)

600.

0.11

No









531

HFOPDE, chapter 2.7.3

problem number 12

(Timed out)

600.

0.2

No









532

HFOPDE, chapter 2.7.4

problem number 1

(Timed out)

600.

0.12

No









533

HFOPDE, chapter 2.7.4

problem number 2

(Timed out)

600.

0.1

No









534

HFOPDE, chapter 2.7.4

problem number 3

512.078

0.2

No









535

HFOPDE, chapter 2.7.4

problem number 4

(Timed out)

600.

0.19

No









536

HFOPDE, chapter 2.7.4

problem number 5

(Timed out)

600.

1.54

No









537

HFOPDE, chapter 2.7.4

problem number 6

(Timed out)

600.

0.42

No









538

HFOPDE, chapter 2.7.4

problem number 7

(Timed out)

600.

1.51

No









539

HFOPDE, chapter 2.7.4

problem number 8

33.739

6.32

No









540

HFOPDE, chapter 2.7.4

problem number 9

(Timed out)

600.

22.72

No









541

HFOPDE, chapter 2.7.4

problem number 10

40.222

379.21

No









542

HFOPDE, chapter 2.7.4

problem number 11

(Timed out)

600.

0.14

No









543

HFOPDE, chapter 2.7.4

problem number 12

(Timed out)

600.

0.36

No









544

HFOPDE, chapter 2.8.1

problem number 1

0.633

0.03

No









545

HFOPDE, chapter 2.8.1

problem number 2

0.996

0.09

No









546

HFOPDE, chapter 2.8.1

problem number 3

113.787

0.07

No









547

HFOPDE, chapter 2.8.1

problem number 4

20.499

0.07

No









548

HFOPDE, chapter 2.8.1

problem number 5

24.329

0.48

No









549

HFOPDE, chapter 2.8.1

problem number 6

134.698

0.07

No









550

HFOPDE, chapter 2.8.1

problem number 7

23.579

2.51

No









551

HFOPDE, chapter 2.8.1

problem number 8

23.518

2.85

No









552

HFOPDE, chapter 2.8.1

problem number 9

39.825

0.08

No









553

HFOPDE, chapter 2.8.1

problem number 10

28.007

8.13

No