|
# |
ODE |
CAS classification |
Solved? |
time (sec) |
|
\[
{}y^{\prime } = y \left (y-1\right ) \left (y-3\right )
\] |
[_quadrature] |
✓ |
31.294 |
|
|
\[
{}y^{\prime } = y \left (y-1\right ) \left (y-3\right )
\] |
[_quadrature] |
✓ |
31.773 |
|
|
\[
{}y^{\prime } = -y^{2}
\] |
[_quadrature] |
✓ |
2.079 |
|
|
\[
{}y^{\prime } = y^{3}
\] |
[_quadrature] |
✓ |
4.167 |
|
|
\[
{}y^{\prime } = \frac {1}{\left (y+1\right ) \left (t -2\right )}
\] |
[_separable] |
✓ |
2.496 |
|
|
\[
{}y^{\prime } = \frac {1}{\left (y+2\right )^{2}}
\] |
[_quadrature] |
✓ |
2.401 |
|
|
\[
{}y^{\prime } = \frac {t}{y-2}
\] |
[_separable] |
✓ |
3.322 |
|
|
\[
{}y^{\prime } = 3 y \left (y-2\right )
\] |
[_quadrature] |
✓ |
3.178 |
|
|
\[
{}y^{\prime } = 3 y \left (y-2\right )
\] |
[_quadrature] |
✓ |
3.450 |
|
|
\[
{}y^{\prime } = 3 y \left (y-2\right )
\] |
[_quadrature] |
✓ |
3.589 |
|
|
\[
{}y^{\prime } = 3 y \left (y-2\right )
\] |
[_quadrature] |
✓ |
1.939 |
|
|
\[
{}y^{\prime } = y^{2}-4 y-12
\] |
[_quadrature] |
✓ |
2.539 |
|
|
\[
{}y^{\prime } = y^{2}-4 y-12
\] |
[_quadrature] |
✓ |
2.568 |
|
|
\[
{}y^{\prime } = y^{2}-4 y-12
\] |
[_quadrature] |
✓ |
1.696 |
|
|
\[
{}y^{\prime } = y^{2}-4 y-12
\] |
[_quadrature] |
✓ |
2.550 |
|
|
\[
{}y^{\prime } = \cos \left (y\right )
\] |
[_quadrature] |
✓ |
2.779 |
|
|
\[
{}y^{\prime } = \cos \left (y\right )
\] |
[_quadrature] |
✓ |
57.017 |
|
|
\[
{}y^{\prime } = \cos \left (y\right )
\] |
[_quadrature] |
✓ |
2.629 |
|
|
\[
{}y^{\prime } = \cos \left (y\right )
\] |
[_quadrature] |
✓ |
2.870 |
|
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
2.671 |
|
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
2.607 |
|
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
2.735 |
|
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
2.802 |
|
|
\[
{}w^{\prime } = w \cos \left (w\right )
\] |
[_quadrature] |
✓ |
2.751 |
|
|
\[
{}w^{\prime } = \left (1-w\right ) \sin \left (w\right )
\] |
[_quadrature] |
✓ |
6.024 |
|
|
\[
{}y^{\prime } = \frac {1}{y-2}
\] |
[_quadrature] |
✓ |
1.908 |
|
|
\[
{}v^{\prime } = -v^{2}-2 v-2
\] |
[_quadrature] |
✓ |
1.377 |
|
|
\[
{}w^{\prime } = 3 w^{3}-12 w^{2}
\] |
[_quadrature] |
✓ |
13.206 |
|
|
\[
{}y^{\prime } = 1+\cos \left (y\right )
\] |
[_quadrature] |
✓ |
2.076 |
|
|
\[
{}y^{\prime } = \tan \left (y\right )
\] |
[_quadrature] |
✓ |
1.841 |
|
|
\[
{}y^{\prime } = y \ln \left ({| y|}\right )
\] |
[_quadrature] |
✓ |
2.903 |
|
|
\[
{}w^{\prime } = \left (w^{2}-2\right ) \arctan \left (w\right )
\] |
[_quadrature] |
✓ |
5.000 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.864 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.625 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.886 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.804 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.825 |
|
|
\[
{}y^{\prime } = y^{2}-4 y+2
\] |
[_quadrature] |
✓ |
1.869 |
|
|
\[
{}y^{\prime } = y \cos \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
4.138 |
|
|
\[
{}y^{\prime } = y-y^{2}
\] |
[_quadrature] |
✓ |
2.282 |
|
|
\[
{}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
3.800 |
|
|
\[
{}y^{\prime } = y^{3}-y^{2}
\] |
[_quadrature] |
✓ |
19.285 |
|
|
\[
{}y^{\prime } = \cos \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
4.479 |
|
|
\[
{}y^{\prime } = y^{2}-y
\] |
[_quadrature] |
✓ |
2.018 |
|
|
\[
{}y^{\prime } = y \sin \left (\frac {\pi y}{2}\right )
\] |
[_quadrature] |
✓ |
3.800 |
|
|
\[
{}y^{\prime } = y^{2}-y^{3}
\] |
[_quadrature] |
✓ |
18.354 |
|
|
\[
{}y^{\prime } = -4 y+9 \,{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.434 |
|
|
\[
{}y^{\prime } = -4 y+3 \,{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.413 |
|
|
\[
{}y^{\prime } = -3 y+4 \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.639 |
|
|
\[
{}y^{\prime } = 2 y+\sin \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.621 |
|
|
\[
{}y^{\prime } = 3 y-4 \,{\mathrm e}^{3 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.333 |
|
|
\[
{}y^{\prime } = \frac {y}{2}+4 \,{\mathrm e}^{\frac {t}{2}}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.345 |
|
|
\[
{}y^{\prime }+2 y = {\mathrm e}^{\frac {t}{3}}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.816 |
|
|
\[
{}y^{\prime }-2 y = 3 \,{\mathrm e}^{-2 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.842 |
|
|
\[
{}y^{\prime }+y = \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.900 |
|
|
\[
{}y^{\prime }+3 y = \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
2.004 |
|
|
\[
{}y^{\prime }-2 y = 7 \,{\mathrm e}^{2 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.680 |
|
|
\[
{}y^{\prime }+2 y = 3 t^{2}+2 t -1
\] |
[[_linear, ‘class A‘]] |
✓ |
1.408 |
|
|
\[
{}y^{\prime }+2 y = t^{2}+2 t +1+{\mathrm e}^{4 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
2.202 |
|
|
\[
{}y^{\prime }+y = t^{3}+\sin \left (3 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
2.004 |
|
|
\[
{}y^{\prime }-3 y = 2 t -{\mathrm e}^{4 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.494 |
|
|
\[
{}y^{\prime }+y = \cos \left (2 t \right )+3 \sin \left (2 t \right )+{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
2.248 |
|
|
\[
{}y^{\prime } = -\frac {y}{t}+2
\] |
[_linear] |
✓ |
2.881 |
|
|
\[
{}y^{\prime } = \frac {3 y}{t}+t^{5}
\] |
[_linear] |
✓ |
1.665 |
|
|
\[
{}y^{\prime } = -\frac {y}{t +1}+t^{2}
\] |
[_linear] |
✓ |
1.831 |
|
|
\[
{}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
1.767 |
|
|
\[
{}y^{\prime }-\frac {2 t y}{t^{2}+1} = 3
\] |
[_linear] |
✓ |
1.882 |
|
|
\[
{}y^{\prime }-\frac {2 y}{t} = t^{3} {\mathrm e}^{t}
\] |
[_linear] |
✓ |
1.733 |
|
|
\[
{}y^{\prime } = -\frac {y}{t +1}+2
\] |
[_linear] |
✓ |
2.171 |
|
|
\[
{}y^{\prime } = \frac {y}{t +1}+4 t^{2}+4 t
\] |
[_linear] |
✓ |
1.586 |
|
|
\[
{}y^{\prime } = -\frac {y}{t}+2
\] |
[_linear] |
✓ |
3.175 |
|
|
\[
{}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
2.122 |
|
|
\[
{}y^{\prime }-\frac {2 y}{t} = 2 t^{2}
\] |
[_linear] |
✓ |
2.033 |
|
|
\[
{}y^{\prime }-\frac {3 y}{t} = 2 t^{3} {\mathrm e}^{2 t}
\] |
[_linear] |
✓ |
2.801 |
|
|
\[
{}y^{\prime } = \sin \left (t \right ) y+4
\] |
[_linear] |
✓ |
1.689 |
|
|
\[
{}y^{\prime } = t^{2} y+4
\] |
[_linear] |
✓ |
1.564 |
|
|
\[
{}y^{\prime } = \frac {y}{t^{2}}+4 \cos \left (t \right )
\] |
[_linear] |
✓ |
1.995 |
|
|
\[
{}y^{\prime } = y+4 \cos \left (t^{2}\right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.836 |
|
|
\[
{}y^{\prime } = -y \,{\mathrm e}^{-t^{2}}+\cos \left (t \right )
\] |
[_linear] |
✓ |
2.630 |
|
|
\[
{}y^{\prime } = \frac {y}{\sqrt {t^{3}-3}}+t
\] |
[_linear] |
✓ |
24.628 |
|
|
\[
{}y^{\prime } = a t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
1.385 |
|
|
\[
{}y^{\prime } = t^{r} y+4
\] |
[_linear] |
✓ |
1.322 |
|
|
\[
{}v^{\prime }+\frac {2 v}{5} = 3 \cos \left (2 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.803 |
|
|
\[
{}y^{\prime } = -2 t y+4 \,{\mathrm e}^{-t^{2}}
\] |
[_linear] |
✓ |
1.749 |
|
|
\[
{}y^{\prime }+2 y = 3 \,{\mathrm e}^{-2 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.340 |
|
|
\[
{}y^{\prime } = 3 y
\] |
[_quadrature] |
✓ |
1.700 |
|
|
\[
{}y^{\prime } = t^{2} \left (t^{2}+1\right )
\] |
[_quadrature] |
✓ |
0.494 |
|
|
\[
{}y^{\prime } = -\sin \left (y\right )^{5}
\] |
[_quadrature] |
✓ |
16.624 |
|
|
\[
{}y^{\prime } = \frac {\left (t^{2}-4\right ) \left (y+1\right ) {\mathrm e}^{y}}{\left (t -1\right ) \left (3-y\right )}
\] |
[_separable] |
✓ |
2.803 |
|
|
\[
{}y^{\prime } = \sin \left (y\right )^{2}
\] |
[_quadrature] |
✓ |
2.527 |
|
|
\[
{}y^{\prime } = \left (y-3\right ) \left (\sin \left (y\right ) \sin \left (t \right )+\cos \left (t \right )+1\right )
\] |
[‘x=_G(y,y’)‘] |
✗ |
12.592 |
|
|
\[
{}y^{\prime } = y+{\mathrm e}^{-t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.400 |
|
|
\[
{}y^{\prime } = 3-2 y
\] |
[_quadrature] |
✓ |
1.711 |
|
|
\[
{}y^{\prime } = t y
\] |
[_separable] |
✓ |
1.732 |
|
|
\[
{}y^{\prime } = 3 y+{\mathrm e}^{7 t}
\] |
[[_linear, ‘class A‘]] |
✓ |
1.466 |
|
|
\[
{}y^{\prime } = \frac {t y}{t^{2}+1}
\] |
[_separable] |
✓ |
1.743 |
|
|
\[
{}y^{\prime } = -5 y+\sin \left (3 t \right )
\] |
[[_linear, ‘class A‘]] |
✓ |
1.667 |
|
|
\[
{}y^{\prime } = t +\frac {2 y}{t +1}
\] |
[_linear] |
✓ |
1.333 |
|
|
\[
{}y^{\prime } = 3+y^{2}
\] |
[_quadrature] |
✓ |
3.602 |
|
|
\[
{}y^{\prime } = 2 y-y^{2}
\] |
[_quadrature] |
✓ |
2.395 |
|