| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{3}+x y^{2}+a^{2} y+\left (y^{3}+x^{2} y-a^{2} x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (x +2 y^{3}\right ) y^{\prime } = y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \sec \left (x \right )^{2} \tan \left (y\right )+\sec \left (y\right )^{2} \tan \left (x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 1+y^{2}-y y^{\prime } x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{2}+\left (x^{2}+x y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {6 x -2 y-7}{2 x +3 y-6}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x +y+1+\left (4 x +2 y-1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \cos \left (x \right ) y^{\prime }+\sin \left (x \right ) y = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+2 x y = {\mathrm e}^{-x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x +2 y^{3}\right ) y^{\prime } = y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+p \left (x \right ) y = q \left (x \right ) y^{n}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+x \sin \left (2 y\right ) = x^{3} \cos \left (y\right )^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} a^{2}-2 x y-y^{2}-\left (x +y\right )^{2} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y-\left (y^{3}+x^{3}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x y \sin \left (x y\right )+\cos \left (x y\right )\right ) y+\left (x y \sin \left (x y\right )-\cos \left (x y\right )\right ) y^{\prime } = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y+\frac {y^{3}}{3}+\frac {x^{2}}{2}+\frac {\left (x y^{2}+x \right ) y^{\prime }}{4} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 x^{2} y^{4}+2 x y+\left (2 y^{2} x^{3}-x^{2}\right ) y^{\prime } = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{3}-2 x^{2} y+\left (2 x y^{2}-x^{3}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{3}-\left (x^{2}+x y+y^{2}\right ) {y^{\prime }}^{2}+\left (x y^{3}+x^{2} y^{2}+x^{3} y\right ) y^{\prime }-x^{3} y^{3} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} \left ({y^{\prime }}^{2}-y^{2}\right )+y^{2} = x^{4}+2 y y^{\prime } x
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{3}+b x \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}-y^{\prime }-b x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 y+x \right ) {y^{\prime }}^{3}+3 \left (x +y\right ) {y^{\prime }}^{2}+\left (y+2 x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y-\frac {1}{\sqrt {1+{y^{\prime }}^{2}}} = b
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y = \frac {x}{y^{\prime }}-a y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{3}+m {y^{\prime }}^{2} = a \left (y+m x \right )
\]
|
✗ |
✓ |
✗ |
|
| \[
{} x {y^{\prime }}^{3} = a +b y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \tan \left (x -\frac {y^{\prime }}{1+{y^{\prime }}^{2}}\right )
\]
|
✗ |
✓ |
✗ |
|
| \[
{} a y {y^{\prime }}^{2}+\left (2 x -b \right ) y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y = \left (1+y^{\prime }\right ) x +{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {\mathrm e}^{3 x} \left (y^{\prime }-1\right )+{\mathrm e}^{2 y} {y^{\prime }}^{3} = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y = 2 x y^{\prime }+y^{2} {y^{\prime }}^{3}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y = -x y^{\prime }+x^{4} {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y-2 x y^{\prime }+a y {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} \left (y-x y^{\prime }\right ) = y {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y \left (y-x y^{\prime }\right ) = y y^{\prime }+x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{2} \left ({y^{\prime }}^{2}+2\right ) = 2 y^{3} y^{\prime }+x^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y {y^{\prime }}^{2}-2 y y^{\prime } x +4 y^{2}-x^{2} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} \left (y y^{\prime }+n x \right )^{2} = \left (y^{2}+n \,x^{2}\right ) \left (1+{y^{\prime }}^{2}\right )
\]
|
✗ |
✓ |
✓ |
|
| \[
{} \left (1-y^{2}+\frac {y^{4}}{x^{2}}\right ) {y^{\prime }}^{2}-\frac {2 y y^{\prime }}{x}+\frac {y^{2}}{x^{2}} = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} \left (x^{2}+y^{2}\right ) \left (1+y^{\prime }\right )^{2}-2 \left (x +y\right ) \left (1+y^{\prime }\right ) \left (y y^{\prime }+x \right )+\left (y y^{\prime }+x \right )^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (-x^{2}+1\right ) {y^{\prime }}^{2} = 1-y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{2} \left (1+{y^{\prime }}^{2}\right ) = r^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \sin \left (x y^{\prime }\right ) \cos \left (y\right ) = \cos \left (x y^{\prime }\right ) \sin \left (y\right )+y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 4 x {y^{\prime }}^{2} = \left (3 x -a \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 {y^{\prime }}^{2} x \left (x -a \right ) \left (x -b \right ) = \left (3 x^{2}-2 x \left (a +b \right )+a b \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{3}-4 y y^{\prime } x +8 y^{2} = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{3} {y^{\prime }}^{2}+x^{2} y y^{\prime }+a^{3} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} {y^{\prime }}^{3}+\left (y+2 x \right ) y y^{\prime }+y^{2} = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} x {y^{\prime }}^{2}-2 y y^{\prime }+x +2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{2} y^{2} \cos \left (a \right )^{2}-2 y^{\prime } x y \sin \left (a \right )^{2}+y^{2}-x^{2} \sin \left (a \right )^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 x^{2}+1\right ) {y^{\prime }}^{2}+\left (y^{2}+2 x y+x^{2}+2\right ) y^{\prime }+2 y^{2}+1 = 0
\]
|
✓ |
✗ |
✗ |
|
| \[
{} y^{\prime } = \frac {{\mathrm e}^{x}}{2 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y^{2} \left (t^{2}+1\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {\sqrt {1-y^{2}}}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime } = y \left (1-2 y\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-\sin \left (x \right ) y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -2 y+x y^{\prime } = x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} s^{\prime }+2 s = s t^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime }-2 x = t \,{\mathrm e}^{2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-\frac {3 y}{x} = x^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 x^{2}+6 x y^{2}+\left (6 x^{2}+4 y^{3}\right ) y^{\prime } = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} x +y^{2}-2 y y^{\prime } x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \sin \left (x y\right )+x y \cos \left (x y\right )+x^{2} \cos \left (x y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}+y-x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x y^{2}-3 y^{3}+\left (7-3 x y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x}{y}-\frac {x}{1+y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y = x y^{\prime }+\frac {1}{y^{\prime }}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y = 2 x y^{\prime }+\ln \left (y^{\prime }\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+2 x y = 2 x y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+2 x y = y^{2} {\mathrm e}^{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime }-y^{2}+\left (2 x +1\right ) y = x^{2}+2 x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {\mathrm e}^{-x} y^{\prime }+y^{2}-2 y \,{\mathrm e}^{x} = 1-{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x y+y^{2}}{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}-x y+y^{2}-y y^{\prime } x = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y-\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}+2 x y-4 y^{2}-\left (x^{2}-8 x y-4 y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = k y-c y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y^{2}-6 y-16
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \cos \left (y\right )
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = y \left (y-2\right ) \left (3+y\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y^{2} \left (1+y\right ) \left (y-4\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y-y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y-y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y-y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y-y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y-\mu y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = y \left (\mu -y\right ) \left (\mu -2 y\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime } = \mu -x^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime } = x-\frac {\mu x}{1+x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime } = x^{3}+a x^{2}-b x
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \frac {1+y}{x +2}-{\mathrm e}^{\frac {1+y}{x +2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \frac {1+y}{x +2}+{\mathrm e}^{\frac {1+y}{x +2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \frac {x +y+1}{x +2}-{\mathrm e}^{\frac {x +y+1}{x +2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \frac {x +2 y+1}{2 x +2+y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {2 x +y+1}{x +2 y+2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 3 y^{{2}/{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \sqrt {y \left (1-y\right )}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {{\mathrm e}^{-y^{2}}}{y \left (x^{2}+2 x \right )}
\]
|
✓ |
✓ |
✓ |
|