| # | ODE | Mathematica | Maple | Sympy |
| \[
{} i^{\prime } = \frac {t -i t}{t^{2}+1}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{3}+2 y \,{\mathrm e}^{x}+\left ({\mathrm e}^{x}+3 y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \frac {x +y}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {3 y^{2} \cot \left (x \right )+\cos \left (x \right ) \sin \left (x \right )}{2 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x}{x^{2} y+y^{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 x^{2}+y+3 x^{3} y+x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x +2 x y^{2}+\left (x^{2} y+2 y+3 y^{3}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{2}+x y+1+\left (x^{2}+x y+1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 y^{2}+4 x^{2} y+\left (4 x y+3 x^{3}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime }+\frac {y}{x} = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime }+3 y = x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{2}+y y^{\prime } x = \left (2 y^{2}+1\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-\frac {2 y}{x} = \sin \left (3 x \right ) x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} i^{\prime }+3 i = {\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y \cot \left (x \right ) = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {1}{x -3 y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} r^{\prime } = t -\frac {r}{3 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} i^{\prime }+2 i = 10 \,{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-y = x y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{2}+\left (x y-x^{3}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime } = 2 x^{2} y+y \ln \left (y\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime }+3 = 4 x \,{\mathrm e}^{-y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+\left (2 x^{2} y-x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+\left (y^{3}-x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y+x^{3}+x y^{2}-x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3}+y+\left (x^{2} y-x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x -\sqrt {x^{2}+y^{2}}+\left (-\sqrt {x^{2}+y^{2}}+y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}+y^{2}+y+\left (x^{2}+y^{2}-x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x -x^{2}-y^{2}+\left (y+x^{2}+y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y+y^{3}-x +\left (x^{3}-y+x y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y-x \sqrt {x^{2}+y^{2}}+\left (x -y \sqrt {x^{2}+y^{2}}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y-y^{4} x^{5}+\left (x -x^{4} y^{5}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{3}-x y^{2}+y+\left (y^{3}-x^{2} y-x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{3}+2 x y^{2}-x +\left (x^{2} y+2 y^{3}-2 y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = \frac {x^{3}+2 y}{x^{3}+x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{2}+x \sin \left (x \right )^{2}-\sin \left (2 x \right )-2 y y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2}+y \left (x -y\right )^{2} \tan \left (\frac {y}{x}\right )-\left (x^{2}+x \left (x -y\right )^{2} \tan \left (\frac {y}{x}\right )\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } = 3 y^{{2}/{3}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \sqrt {y}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x^{2}+1\right ) \left (y^{3}-1\right ) = x^{2} y^{2} y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 x y+y^{2}\right ) \left (x^{2}+2 x y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 x y+y^{2}\right ) \left (x^{2}+2 x y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+\frac {2 y}{x} = x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3-y+2 x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+2 x = 2
\]
|
✓ |
✓ |
✓ |
|
| \[
{} s^{2} t s^{\prime }+t^{2}+4 = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}+y^{2}+2 y y^{\prime } x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \left (2 x^{2}-y \,{\mathrm e}^{x}\right ) {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y+x^{2} y^{\prime } = 1+x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {y}{x}+\arctan \left (\frac {y}{x}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = x +y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+x y = x^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (3-x^{2} y\right ) y^{\prime } = x y^{2}+4
\]
|
✓ |
✓ |
✗ |
|
| \[
{} r^{2} \sin \left (t \right ) = \left (2 r \cos \left (t \right )+10\right ) r^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = x^{2}+2 y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {2 x y-y^{4}}{3 x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}+y^{2}+2 y y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}+y^{2}+\left (2 x y-3\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } \left (y^{2}+2 x \right ) = y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{2} v-\left (u^{3}+v^{3}\right ) v^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \tan \left (y\right )-\tan \left (y\right )^{2} \cos \left (x \right )-x \sec \left (y\right )^{2} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {2 y+x}{y-2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } \sin \left (x \right ) = y \cos \left (x \right )+\sin \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2}-y^{2}+2 y y^{\prime } x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x^{2}-y \,{\mathrm e}^{x}-{\mathrm e}^{x} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x +y\right ) y^{\prime } = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x +2 y+x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \sin \left (y\right )+\left (x \cos \left (y\right )-y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = {\mathrm e}^{\frac {y}{x}}+\frac {y}{x}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \sin \left (x \right ) \cos \left (y\right )+\cos \left (x \right ) \sin \left (y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime } = x^{3}+2 y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 x y^{2}+2+2 x^{2} y y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 y^{2}-x \right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (1+y\right ) y^{\prime } = x \sqrt {y}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \tan \left (x \right ) \sin \left (y\right )+3 y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime }-y = \cos \left (\frac {y}{x}\right ) x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} s^{\prime } = \sqrt {\frac {1-t}{1-s}}
\]
|
✓ |
✗ |
✓ |
|
| \[
{} 2 y+3 x +x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y+\left (x^{3}+1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (\sin \left (y\right )-x \right ) y^{\prime } = y+2 x
\]
|
✓ |
✓ |
✗ |
|
| \[
{} n^{\prime } = -a n
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {y \left (x +y\right )}{x \left (x -y\right )}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} i^{\prime }+i = {\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime }+y = x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime }-y = x^{2} y y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} q^{\prime } = \frac {p \,{\mathrm e}^{p^{2}-q^{2}}}{q}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (3 y \cos \left (x \right )+2\right ) y^{\prime } = \sin \left (x \right ) y^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x +x \cos \left (y\right )\right ) y^{\prime }-\sin \left (y\right )-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = 3 x +2 y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{2} = \left (x^{2}+2 x y\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} r^{\prime } = \frac {r \left (1+\ln \left (t \right )\right )}{t \left (1+\ln \left (r\right )\right )}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{\prime } = -a \left (u-100 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u v-2 v+\left (-u^{2}+u \right ) v^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} i^{\prime }+3 i = 10 \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} s^{\prime } = \frac {1}{s+t +1}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x \sqrt {1-y^{2}}+y \sqrt {-x^{2}+1}\, y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+y \cot \left (x \right ) = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {\left (3+y\right )^{2}}{4 x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime }-3 y = x^{4} {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } = \frac {x}{y}+\frac {y}{x}
\]
|
✓ |
✓ |
✓ |
|