|
# |
ODE |
Mathematica |
Maple |
Sympy |
|
\[
{} 2 x y^{\prime }-y+\ln \left (y^{\prime }\right ) = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 x {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x {y^{\prime }}^{2}-2 y y^{\prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+2 x y = x^{2}+y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = -x y^{\prime }+x^{4} {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x +y^{\prime } y \left (2 {y^{\prime }}^{2}+3\right ) = 0
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} a^{2} y {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x {y^{\prime }}^{2}-2 y y^{\prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{3}-4 x y y^{\prime }+8 y^{2} = 0
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} \left (x y^{\prime }-y\right )^{2} = 1+{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 \,{\mathrm e}^{2 y} {y^{\prime }}^{2}+2 x y^{\prime }-1 = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 \,{\mathrm e}^{2 y} {y^{\prime }}^{2}+2 \,{\mathrm e}^{2 x} y^{\prime }-{\mathrm e}^{2 x} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {\mathrm e}^{2 y} {y^{\prime }}^{3}+\left ({\mathrm e}^{2 x}+{\mathrm e}^{3 x}\right ) y^{\prime }-{\mathrm e}^{3 x} = 0
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} x y^{2} {y^{\prime }}^{2}-y^{3} y^{\prime }+x = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+y^{2}\right ) \left (1+y^{\prime }\right )^{2}-2 \left (x +y\right ) \left (1+y^{\prime }\right ) \left (x +y y^{\prime }\right )+\left (x +y y^{\prime }\right )^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y = 2 x y^{\prime }+y^{2} {y^{\prime }}^{3}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} a^{2} y {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x -y^{\prime }-y\right )^{2} = x^{2} \left (2 x y-x^{2} y^{\prime }\right )
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} y^{2} \left (1+{y^{\prime }}^{2}\right ) = a^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y y^{\prime } = \left (x -b \right ) {y^{\prime }}^{2}+a
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{3} {y^{\prime }}^{2}+x^{2} y y^{\prime }+1 = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 3 x {y^{\prime }}^{2}-6 y y^{\prime }+x +2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = \left (1+x \right ) {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x y^{\prime }-y\right ) \left (x +y y^{\prime }\right ) = a^{2} y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{2}+2 y^{\prime } y \cot \left (x \right ) = y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x^{2}+1\right ) {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2}-1 = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} {y^{\prime }}^{2}-2 \left (x y+2 y^{\prime }\right ) y^{\prime }+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = x y^{\prime }+\frac {y {y^{\prime }}^{2}}{x^{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2} = x^{2} y^{2}+x^{4}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y = x y^{\prime }+\frac {1}{y^{\prime }}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x {y^{\prime }}^{2}-2 y y^{\prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} {y^{\prime }}^{2}-2 \left (-2+x y\right ) y^{\prime }+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} {y^{\prime }}^{2}-\left (x -1\right )^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 8 \left (1+y^{\prime }\right )^{3} = 27 \left (x +y\right ) \left (1-y^{\prime }\right )^{3}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 {y^{\prime }}^{2} = 9 x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y \left (3-4 y\right )^{2} {y^{\prime }}^{2} = 4-4 y
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {2 x}{t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = -\frac {t}{x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = -x^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }+2 x = t^{2}+4 t +7
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 t x^{\prime } = x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = x \left (1-\frac {x}{4}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = x^{2}+t^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{\prime } = t \cos \left (t^{2}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {t +1}{\sqrt {t}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = t \,{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {1}{t \ln \left (t \right )}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \sqrt {t}\, x^{\prime } = \cos \left (\sqrt {t}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {{\mathrm e}^{-t}}{\sqrt {t}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \sqrt {x}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{\prime } = {\mathrm e}^{-2 x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = 1+y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} u^{\prime } = \frac {1}{5-2 u}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = a x+b
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} Q^{\prime } = \frac {Q}{4+Q^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = {\mathrm e}^{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = r \left (a -y\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {2 x}{t +1}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \theta ^{\prime } = t \sqrt {t^{2}+1}\, \sec \left (\theta \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (2 u+1\right ) u^{\prime }-t -1 = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} R^{\prime } = \left (t +1\right ) \left (1+R^{2}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+y+\frac {1}{y} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (t +1\right ) x^{\prime }+x^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {1}{2 y+1}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \left (4 t -x\right )^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = 2 t x^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = t^{2} {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = x \left (4+x\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = {\mathrm e}^{t +x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} T^{\prime } = 2 a t \left (T^{2}-a^{2}\right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = t^{2} \tan \left (y\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {\left (4+2 t \right ) x}{\ln \left (x\right )}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {2 t y^{2}}{t^{2}+1}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{\prime } = \frac {t^{2}}{1-x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = 6 t \left (x-1\right )^{{2}/{3}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {4 t^{2}+3 x^{2}}{2 t x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } {\mathrm e}^{2 t}+2 x \,{\mathrm e}^{2 t} = {\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {y^{2}+2 t y}{t^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = -y^{2} {\mathrm e}^{-t^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = 2 t^{3} x-6
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \cos \left (t \right ) x^{\prime }-2 x \sin \left (x\right ) = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = t -x^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 7 t^{2} x^{\prime } = 3 x-2 t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x x^{\prime } = 1-t x
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {x^{\prime }}^{2}+t x = \sqrt {t +1}
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} x^{\prime } = -\frac {2 x}{t}+t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+y = {\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }+2 t x = {\mathrm e}^{-t^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t x^{\prime } = -x+t^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \theta ^{\prime } = -a \theta +{\mathrm e}^{b t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (t^{2}+1\right ) x^{\prime } = -3 t x+6 t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }+\frac {5 x}{t} = t +1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \left (a +\frac {b}{t}\right ) x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} R^{\prime }+\frac {R}{t} = \frac {2}{t^{2}+1}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} N^{\prime } = N-9 \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \cos \left (\theta \right ) v^{\prime }+v = 3
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} R^{\prime } = \frac {R}{t}+t \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+a y = \sqrt {t +1}
\]
|
✓ |
✓ |
✓ |
|