[next] [prev] [prev-tail] [tail] [up]

2.20.63 Nonlinear Ordinary Differential Equations by D.W.Jordna and P.Smith. 4th edition 1999. Oxford Univ. Press. NY

Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.

Table 2.504: Nonlinear Ordinary Differential Equations by D.W.Jordna and P.Smith. 4th edition 1999. Oxford Univ. Press. NY

#

ODE

A

B

C

Program classification

CAS classification

Solved?

Verified?

time (sec)

12554

\[ {}\left [\begin {array}{c} x^{\prime }=x-5 y \\ y^{\prime }=x-y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.38

12555

\[ {}\left [\begin {array}{c} x^{\prime }=x+y \\ y^{\prime }=x-2 y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.441

12556

\[ {}\left [\begin {array}{c} x^{\prime }=-4 x+2 y \\ y^{\prime }=3 x-2 y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.448

12557

\[ {}\left [\begin {array}{c} x^{\prime }=x+2 y \\ y^{\prime }=2 x+2 y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.432

12558

\[ {}\left [\begin {array}{c} x^{\prime }=4 x-2 y \\ y^{\prime }=3 x-y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.287

12559

\[ {}\left [\begin {array}{c} x^{\prime }=2 x+y \\ y^{\prime }=-x+y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.66

12560

\[ {}\left [\begin {array}{c} x^{\prime }=3 x-y \\ y^{\prime }=x+y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.288

12561

\[ {}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=2 x-2 y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.262

12562

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=2 x-3 y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.255

12563

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=x+3 y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.242

12564

\[ {}\left [\begin {array}{c} x^{\prime }=-y \\ y^{\prime }=2 x-4 y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.428

12565

\[ {}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.218

12566

\[ {}\left [\begin {array}{c} x^{\prime }=0 \\ y^{\prime }=x \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.186

12567

\[ {}x^{\prime \prime }+x-x^{3} = 0 \]

1

2

1

second_order_ode_missing_x, second_order_ode_can_be_made_integrable

[[_2nd_order, _missing_x], _Duffing, [_2nd_order, _reducible, _mu_x_y1]]

✓

✓

2.03

12568

\[ {}x^{\prime \prime }+x+x^{3} = 0 \]

1

2

1

second_order_ode_missing_x, second_order_ode_can_be_made_integrable

[[_2nd_order, _missing_x], _Duffing, [_2nd_order, _reducible, _mu_x_y1]]

✓

✓

1.734

12569

\[ {}x^{\prime \prime }+x^{\prime }+x-x^{3} = 0 \]

1

0

1

second_order_ode_missing_x

[[_2nd_order, _missing_x]]

❇

N/A

0.488

12570

\[ {}x^{\prime \prime }+x^{\prime }+x+x^{3} = 0 \]

1

0

1

second_order_ode_missing_x

[[_2nd_order, _missing_x]]

❇

N/A

0.491

12571

\[ {}x^{\prime \prime } = \left (2 \cos \left (x\right )-1\right ) \sin \left (x\right ) \]

1

2

2

second_order_ode_missing_x, second_order_ode_can_be_made_integrable

[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]]

✓

✓

85.822

12572

\[ {}\left [\begin {array}{c} x^{\prime }=x-5 y \\ y^{\prime }=x-y \end {array}\right ] \]

1

1

2

system of linear ODEs

system of linear ODEs

✓

✓

0.387

[next] [prev] [prev-tail] [front] [up]