|
# |
ODE |
CAS classification |
Solved? |
time (sec) |
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
1.586 |
|
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
1.609 |
|
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
1.575 |
|
|
\[
{}w^{\prime } = \left (1-w\right ) \sin \left (w\right )
\] |
[_quadrature] |
✓ |
4.287 |
|
|
\[
{}y^{\prime } = \frac {1}{y-2}
\] |
[_quadrature] |
✓ |
1.154 |
|
|
\[
{}v^{\prime } = -v^{2}-2 v-2
\] |
[_quadrature] |
✓ |
1.234 |
|
|
\[
{}w^{\prime } = 3 w^{3}-12 w^{2}
\] |
[_quadrature] |
✓ |
3.669 |
|
|
\[
{}y^{\prime } = 1+\cos \left (y\right )
\] |
[_quadrature] |
✓ |
1.335 |
|
|
\[
{}y^{\prime } = \tan \left (y\right )
\] |
[_quadrature] |
✓ |
1.260 |
|
|
\[
{}y^{\prime } = y \ln \left ({| y|}\right )
\] |
[_quadrature] |
✓ |
1.545 |
|
|
\[
{}w^{\prime } = \left (w^{2}-2\right ) \arctan \left (w\right )
\] |
[_quadrature] |
✓ |
1.903 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.711 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.590 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.705 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.718 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.706 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.727 |
|
|
\[
{}y^{\prime } = y \cos \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
1.420 |
|
|
\[
{}y^{\prime } = y-y^{2}
\] |
[_quadrature] |
✓ |
1.910 |
|
|
\[
{}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
1.428 |
|
|
\[
{}y^{\prime } = y^{3}-y^{2}
\] |
[_quadrature] |
✓ |
3.650 |
|
|
\[
{}y^{\prime } = \cos \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
2.237 |
|
|
\[
{}y^{\prime } = y^{2}-y
\] |
[_quadrature] |
✓ |
1.666 |
|
|
\[
{}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
1.436 |
|
|
\[
{}y^{\prime } = y^{2}-y^{3}
\] |
[_quadrature] |
✓ |
3.627 |
|
|
\[
{}y^{\prime } = -4 y+9 \,{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.369 |
|
|
\[
{}y^{\prime } = -4 y+3 \,{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.285 |
|
|
\[
{}y^{\prime } = -3 y+4 \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.401 |
|
|
\[
{}y^{\prime } = 2 y+\sin \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.388 |
|
|
\[
{}y^{\prime } = 3 y-4 \,{\mathrm e}^{3 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.222 |
|
|
\[
{}y^{\prime } = \frac {y}{2}+4 \,{\mathrm e}^{\frac {t}{2}}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.224 |
|
|
\[
{}y^{\prime }+2 y = {\mathrm e}^{\frac {t}{3}}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.592 |
|
|
\[
{}y^{\prime }-2 y = 3 \,{\mathrm e}^{-2 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.609 |
|
|
\[
{}y^{\prime }+y = \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.670 |
|
|
\[
{}y^{\prime }+3 y = \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.708 |
|
|
\[
{}y^{\prime }-2 y = 7 \,{\mathrm e}^{2 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.483 |
|
|
\[
{}y^{\prime }+2 y = 3 t^{2}+2 t -1
\] |
[[_linear, ‘class A‘]] |
✓ |
1.297 |
|
|
\[
{}y^{\prime }+2 y = t^{2}+2 t +1+{\mathrm e}^{4 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.996 |
|
|
\[
{}y^{\prime }+y = t^{3}+\sin \left (3 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.734 |
|
|
\[
{}y^{\prime }-3 y = 2 t -{\mathrm e}^{4 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.364 |
|
|
\[
{}y^{\prime }+y = \cos \left (2 t \right )+3 \sin \left (2 t \right )+{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.990 |
|
|
\[
{}y^{\prime } = -\frac {y}{t}+2
\] |
[_linear] |
✓ |
2.359 |
|
|
\[
{}y^{\prime } = \frac {3 y}{t}+t^{5}
\] |
[_linear] |
✓ |
1.569 |
|
|
\[
{}y^{\prime } = -\frac {y}{1+t}+t^{2}
\] |
[_linear] |
✓ |
1.728 |
|
|
\[
{}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
1.594 |
|
|
\[
{}y^{\prime }-\frac {2 t y}{t^{2}+1} = 3
\] |
[_linear] |
✓ |
1.663 |
|
|
\[
{}y^{\prime }-\frac {2 y}{t} = t^{3} {\mathrm e}^{t}
\] |
[_linear] |
✓ |
1.565 |
|
|
\[
{}y^{\prime } = -\frac {y}{1+t}+2
\] |
[_linear] |
✓ |
2.060 |
|
|
\[
{}y^{\prime } = \frac {y}{1+t}+4 t^{2}+4 t
\] |
[_linear] |
✓ |
1.514 |
|
|
\[
{}y^{\prime } = -\frac {y}{t}+2
\] |
[_linear] |
✓ |
3.009 |
|
|
\[
{}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
1.916 |
|
|
\[
{}y^{\prime }-\frac {2 y}{t} = 2 t^{2}
\] |
[_linear] |
✓ |
1.937 |
|
|
\[
{}y^{\prime }-\frac {3 y}{t} = 2 t^{3} {\mathrm e}^{2 t}
\] |
[_linear] |
✓ |
2.521 |
|
|
\[
{}y^{\prime } = \sin \left (t \right ) y+4
\] |
[_linear] |
✓ |
1.840 |
|
|
\[
{}y^{\prime } = t^{2} y+4
\] |
[_linear] |
✓ |
1.649 |
|
|
\[
{}y^{\prime } = \frac {y}{t^{2}}+4 \cos \left (t \right )
\] |
[_linear] |
✓ |
2.035 |
|
|
\[
{}y^{\prime } = y+4 \cos \left (t^{2}\right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.620 |
|
|
\[
{}y^{\prime } = -y \,{\mathrm e}^{-t^{2}}+\cos \left (t \right )
\] |
[_linear] |
✓ |
2.690 |
|
|
\[
{}y^{\prime } = \frac {y}{\sqrt {t^{3}-3}}+t
\] |
[_linear] |
✓ |
21.973 |
|
|
\[
{}y^{\prime } = a t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
1.115 |
|
|
\[
{}y^{\prime } = t^{r} y+4
\] |
[_linear] |
✓ |
1.263 |
|
|
\[
{}v^{\prime }+\frac {2 v}{5} = 3 \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.558 |
|
|
\[
{}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
1.600 |
|
|
\[
{}y^{\prime }+2 y = 3 \,{\mathrm e}^{-2 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.206 |
|
|
\[
{}y^{\prime } = 3 y
\] |
[_quadrature] |
✓ |
1.346 |
|
|
\[
{}y^{\prime } = t^{2} \left (t^{2}+1\right )
\] |
[_quadrature] |
✓ |
0.476 |
|
|
\[
{}y^{\prime } = -\sin \left (y\right )^{5}
\] |
[_quadrature] |
✓ |
1.991 |
|
|
\[
{}y^{\prime } = \frac {\left (t^{2}-4\right ) \left (y+1\right ) {\mathrm e}^{y}}{\left (t -1\right ) \left (3-y\right )}
\] |
[_separable] |
✓ |
2.328 |
|
|
\[
{}y^{\prime } = \sin \left (y\right )^{2}
\] |
[_quadrature] |
✓ |
1.269 |
|
|
\[
{}y^{\prime } = \left (y-3\right ) \left (\sin \left (y\right ) \sin \left (t \right )+\cos \left (t \right )+1\right )
\] |
[‘x=_G(y,y’)‘] |
✗ |
10.391 |
|
|
\[
{}y^{\prime } = y+{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.261 |
|
|
\[
{}y^{\prime } = 3-2 y
\] |
[_quadrature] |
✓ |
1.270 |
|
|
\[
{}y^{\prime } = t y
\] |
[_separable] |
✓ |
1.579 |
|
|
\[
{}y^{\prime } = 3 y+{\mathrm e}^{7 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.288 |
|
|
\[
{}y^{\prime } = \frac {t y}{t^{2}+1}
\] |
[_separable] |
✓ |
1.691 |
|
|
\[
{}y^{\prime } = -5 y+\sin \left (3 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.430 |
|
|
\[
{}y^{\prime } = t +\frac {2 y}{1+t}
\] |
[_linear] |
✓ |
1.249 |
|
|
\[
{}y^{\prime } = 3+y^{2}
\] |
[_quadrature] |
✓ |
1.244 |
|
|
\[
{}y^{\prime } = 2 y-y^{2}
\] |
[_quadrature] |
✓ |
2.050 |
|
|
\[
{}y^{\prime } = -3 y+{\mathrm e}^{-2 t}+t^{2}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.855 |
|
|
\[
{}x^{\prime } = -t x
\] |
[_separable] |
✓ |
2.129 |
|
|
\[
{}y^{\prime } = 2 y+\cos \left (4 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.802 |
|
|
\[
{}y^{\prime } = 3 y+2 \,{\mathrm e}^{3 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.512 |
|
|
\[
{}y^{\prime } = t^{2} y^{3}+y^{3}
\] |
[_separable] |
✓ |
3.339 |
|
|
\[
{}y^{\prime }+5 y = 3 \,{\mathrm e}^{-5 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.501 |
|
|
\[
{}y^{\prime } = 2 t y+3 t \,{\mathrm e}^{t^{2}}
\] |
[_linear] |
✓ |
2.671 |
|
|
\[
{}y^{\prime } = \frac {\left (1+t \right )^{2}}{\left (y+1\right )^{2}}
\] |
[_separable] |
✓ |
4.348 |
|
|
\[
{}y^{\prime } = 2 t y^{2}+3 t^{2} y^{2}
\] |
[_separable] |
✓ |
2.102 |
|
|
\[
{}y^{\prime } = 1-y^{2}
\] |
[_quadrature] |
✓ |
1.490 |
|
|
\[
{}y^{\prime } = \frac {t^{2}}{y+t^{3} y}
\] |
[_separable] |
✓ |
2.737 |
|
|
\[
{}y^{\prime } = y^{2}-2 y+1
\] |
[_quadrature] |
✓ |
1.395 |
|
|
\[
{}y^{\prime } = \left (y-2\right ) \left (y+1-\cos \left (t \right )\right )
\] |
[_Riccati] |
✓ |
4.137 |
|
|
\[
{}y^{\prime } = \left (y-1\right ) \left (y-2\right ) \left (y-{\mathrm e}^{\frac {t}{2}}\right )
\] |
[_Abel] |
✗ |
1.869 |
|
|
\[
{}y^{\prime } = t^{2} y+1+y+t^{2}
\] |
[_separable] |
✓ |
1.579 |
|
|
\[
{}y^{\prime } = \frac {2 y+1}{t}
\] |
[_separable] |
✓ |
2.091 |
|
|
\[
{}y^{\prime } = 3-y^{2}
\] |
[_quadrature] |
✓ |
1.475 |
|
|
\[
{}\left [\begin {array}{c} x^{\prime }=x-y \\ y^{\prime }=x-y \end {array}\right ]
\] |
system_of_ODEs |
✓ |
0.330 |
|
|
\[
{}\left [\begin {array}{c} x^{\prime }=2 x-y \\ y^{\prime }=0 \end {array}\right ]
\] |
system_of_ODEs |
✓ |
0.366 |
|
|
\[
{}\left [\begin {array}{c} x^{\prime }=x \\ y^{\prime }=2 x+y \end {array}\right ]
\] |
system_of_ODEs |
✓ |
0.355 |
|
|
\[
{}\left [\begin {array}{c} x^{\prime }=-x+2 y \\ y^{\prime }=2 x-y \end {array}\right ]
\] |
system_of_ODEs |
✓ |
0.400 |
|