| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x y^{2} y^{\prime }-y^{3} = \frac {x^{4}}{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}+y^{2}-y y^{\prime } x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x -y+2+\left (x -y+3\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+x y^{2}-x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y y^{\prime }+2 x +x^{2}+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x -1\right ) \left (y^{2}-y+1\right ) = \left (y-1\right ) \left (x^{2}+x +1\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x -2 x y-y^{2}\right ) y^{\prime }+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y \cos \left (x \right )+\left (2 y-\sin \left (x \right )\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-1 = {\mathrm e}^{2 y+x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x^{5}+4 x^{3} y-2 x y^{2}+\left (y^{2}+2 x^{2} y-x^{4}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{n} y^{\prime } = 2 x y^{\prime }-y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (3 x +3 y+a^{2}\right ) y^{\prime } = 4 x +4 y+b^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x -y^{2}+2 y y^{\prime } x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime }+y = y^{2} \ln \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \sin \left (\ln \left (x \right )\right )-\cos \left (\ln \left (y\right )\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \sqrt {\frac {9 y^{2}-6 y+2}{x^{2}-2 x +5}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (5 x -7 y+1\right ) y^{\prime }+x +y-1 = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x +y+1+\left (2 x +2 y-1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{3}+2 \left (x^{2}-x y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {2 \left (y+2\right )^{2}}{\left (x +y-1\right )^{2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x^{2} {y^{\prime }}^{2}-y^{2} = x y^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+x {y^{\prime }}^{2}-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{4} = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y = y^{\prime } \ln \left (\frac {y^{\prime }}{x}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime }+3 x = {\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime }-3 x = 3 t^{3}+3 t^{2}+2 t +1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime }-x = \cos \left (t \right )-\sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x^{\prime }+6 x = t \,{\mathrm e}^{-3 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime }+x = 2 \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x^{4}}{y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x^{2} \left (x^{3}+1\right )}{y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y^{3} \sin \left (x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {7 x^{2}-1}{7+5 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \sin \left (2 x \right )^{2} \cos \left (y\right )^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime } = \sqrt {1-y^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime } = \left (x y^{2}+x \right ) {\mathrm e}^{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x^{2}+{\mathrm e}^{-x}}{y^{2}-{\mathrm e}^{y}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x^{2}}{1+y^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {\sec \left (x \right )^{2}}{y^{3}+1}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = 4 \sqrt {x y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = x \left (y-y^{2}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \left (1-12 x \right ) y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {3-2 x}{y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x +y y^{\prime } {\mathrm e}^{-x} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} r^{\prime } = \frac {r^{2}}{\theta }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {3 x}{y+x^{2} y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {2 x}{1+2 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 2 x y^{2}+4 y^{2} x^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = x^{2} {\mathrm e}^{-3 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (2 x \right )
\]
|
✗ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x \left (x^{2}+1\right ) y^{5}}{6}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {-{\mathrm e}^{x}+3 x^{2}}{2 y-11}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime } = y-x y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y y^{\prime } = \frac {x}{\sqrt {x^{2}-4}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime } = 0
\]
|
✗ |
✓ |
✓ |
|
| \[
{} \sqrt {-x^{2}+1}\, y^{2} y^{\prime } = \arcsin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {3 x^{2}+1}{12 y^{2}-12 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {2 x^{2}}{2 y^{2}-6}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 2 y^{2}+x y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {6-{\mathrm e}^{x}}{3+2 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {2 \cos \left (2 x \right )}{10+2 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 2 \left (1+x \right ) \left (1+y^{2}\right )
\]
|
✗ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {t \left (4-y\right ) y}{3}
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \frac {t y \left (4-y\right )}{t +1}
\]
|
✗ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {a y+b}{d +c y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+4 y = {\mathrm e}^{-2 t}+t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -2 y+y^{\prime } = {\mathrm e}^{2 t} t^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+y^{\prime } = 1+t \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \frac {y}{t}+y^{\prime } = 5+\cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -2 y+y^{\prime } = 3 \,{\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y+t y^{\prime } = \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 t y+y^{\prime } = 16 t \,{\mathrm e}^{-t^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 t y+\left (t^{2}+1\right ) y^{\prime } = \frac {1}{\left (t^{2}+1\right )^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime } = 3 t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }-y = t^{3} {\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+y^{\prime } = 5 \sin \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime } = 3 t^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime } = 2 t \,{\mathrm e}^{2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+2 y = t \,{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+4 y = t^{2}-t +1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \frac {2 y}{t}+y^{\prime } = \frac {\cos \left (t \right )}{t^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -2 y+y^{\prime } = {\mathrm e}^{2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y+t y^{\prime } = \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 t^{2} y+t^{3} y^{\prime } = {\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (t +1\right ) y+t y^{\prime } = t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-\frac {y}{3} = 3 \cos \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime }-y = {\mathrm e}^{\frac {t}{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -2 y+3 y^{\prime } = {\mathrm e}^{-\frac {\pi t}{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (t +1\right ) y+t y^{\prime } = 2 t \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y+t y^{\prime } = \frac {\sin \left (t \right )}{t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \cos \left (t \right ) y+\sin \left (t \right ) y^{\prime } = {\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \frac {y}{2}+y^{\prime } = 2 \cos \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+\frac {4 y}{3} = 1-\frac {t}{4}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \frac {y}{4}+y^{\prime } = 3+2 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime } = 1+3 \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -\frac {3 y}{2}+y^{\prime } = 3 t +3 \,{\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-6 y = t^{6} {\mathrm e}^{6 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \frac {y}{t}+y^{\prime } = 3 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|