| # | ODE | Mathematica | Maple | Sympy |
| \[
{} f \left (x \right ) \sin \left (x \right ) y x y^{\prime } \pi = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \sin \left (x \right )+y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \sin \left (x \right )+y^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \cos \left (x \right )+\frac {y}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \cos \left (x \right )+\frac {y^{2}}{x}
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime } = x +y+b y^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {\mathrm e} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \pi y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } \sin \left (x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} f \left (x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime } = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime } = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x -1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime } x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y \sin \left (x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \pi y \sin \left (x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x \sin \left (x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x \sin \left (x \right ) {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{n} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x {y^{\prime }}^{n} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{2} = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} = x +y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} = \frac {y}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} = \frac {y^{2}}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} = \frac {y^{3}}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{3} = \frac {y^{2}}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} = \frac {1}{x y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} = \frac {1}{x y^{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} = \frac {1}{x^{2} y^{3}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{4} = \frac {1}{x y^{3}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{2} = \frac {1}{y^{4} x^{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \sqrt {1+6 x +y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \left (1+6 x +y\right )^{{1}/{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \left (1+6 x +y\right )^{{1}/{4}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \left (a +b x +y\right )^{4}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \left (\pi +x +7 y\right )^{{7}/{2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \left (a +b x +c y\right )^{6}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = {\mathrm e}^{x +y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 10+{\mathrm e}^{x +y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 10 \,{\mathrm e}^{x +y}+x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = x \,{\mathrm e}^{x +y}+\sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 5 \,{\mathrm e}^{x^{2}+20 y}+\sin \left (x \right )
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t y^{\prime }+y = t
\]
|
✗ |
✓ |
✓ |
|
| \[
{} y^{\prime }-t y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+y = 0
\]
|
✗ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+y = \sin \left (t \right )
\]
|
✓ |
✗ |
✓ |
|
| \[
{} t y^{\prime }+y = t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime }+y = t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y+y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (a t +1\right ) y^{\prime }+y = t
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+\left (a t +b t \right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+\left (a t +b t \right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \left (x +y\right )^{4}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y \cot \left (x \right ) = 2 \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x y^{2}-y+\left (y^{2}+x +y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = x -y^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = y^{{1}/{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-\frac {1}{\sqrt {\operatorname {a4} \,x^{4}+\operatorname {a3} \,x^{3}+\operatorname {a2} \,x^{2}+\operatorname {a1} x +\operatorname {a0}}} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+a y-c \,{\mathrm e}^{b x} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+a y-b \sin \left (c x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+2 x y-x \,{\mathrm e}^{-x^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y \cos \left (x \right )-{\mathrm e}^{2 x} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y \cos \left (x \right )-\frac {\sin \left (2 x \right )}{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y \cos \left (x \right )-{\mathrm e}^{-\sin \left (x \right )} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y \tan \left (x \right )-\sin \left (2 x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-\left (a +\cos \left (\ln \left (x \right )\right )+\sin \left (\ln \left (x \right )\right )\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+f^{\prime }\left (x \right ) y-f \left (x \right ) f^{\prime }\left (x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+f \left (x \right ) y-g \left (x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y^{2}-1 = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y^{2}-a x -b = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+y^{2}+a \,x^{m} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+y^{2}-2 x^{2} y+x^{4}-2 x -1 = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y^{2}+\left (x y-1\right ) f \left (x \right ) = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }-y^{2}-3 y+4 = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-y^{2}-x y-x +1 = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }-\left (x +y\right )^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-y^{2}+\left (x^{2}+1\right ) y-2 x = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }-y^{2}+\sin \left (x \right ) y-\cos \left (x \right ) = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }-y^{2}-y \sin \left (2 x \right )-\cos \left (2 x \right ) = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+a y^{2}-b = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+a y^{2}-b \,x^{\nu } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+a y^{2}-b \,x^{2 \nu }-c \,x^{\nu -1} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }-\left (A y-a \right ) \left (B y-b \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+a y \left (y-x \right )-1 = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+x y^{2}-x^{3} y-2 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-x y^{2}-3 x y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+x^{-a -1} y^{2}-x^{a} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }-a \,x^{n} \left (1+y^{2}\right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+\sin \left (x \right ) y^{2}-\frac {2 \sin \left (x \right )}{\cos \left (x \right )^{2}} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }-\frac {y^{2} f^{\prime }\left (x \right )}{g \left (x \right )}+\frac {g^{\prime }\left (x \right )}{f \left (x \right )} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+f \left (x \right ) y^{2}+g \left (x \right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+f \left (x \right ) \left (y^{2}+2 a y+b \right ) = 0
\]
|
✓ |
✓ |
✓ |
|