|
# |
ODE |
Mathematica |
Maple |
Sympy |
|
\[
{} \tan \left (y\right )-\cot \left (x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 12 x +6 y-9+\left (5 x +2 y-3\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime } = y+\sqrt {x^{2}+y^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }+y = x^{3}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y-x y^{\prime } = x^{2} y y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }+3 x = {\mathrm e}^{2 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \cos \left (x \right ) y^{\prime }+y \sin \left (x \right ) = 1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = {\mathrm e}^{x -y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = x+\sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x \left (\ln \left (x \right )-\ln \left (y\right )\right ) y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y {y^{\prime }}^{2}-\left (x^{2}+y^{2}\right ) y^{\prime }+x y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{2} = 9 y^{4}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = {\mathrm e}^{\frac {x}{t}}+\frac {x}{t}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{2}+x^{2} = 1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = x y^{\prime }+\frac {1}{y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x = {y^{\prime }}^{3}-y^{\prime }+2
\]
|
✗ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {y}{y^{3}+x}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y = {y^{\prime }}^{4}-{y^{\prime }}^{3}-2
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{2}+y^{2} = 4
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \frac {2 y-x -4}{2 x -y+5}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime }-\frac {y}{1+x}+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = x +y^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = x y^{3}+x^{2}
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} y^{\prime } = -y^{2}+x^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 2 x +2 y-1+\left (x +y-2\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{3}-{\mathrm e}^{2 x} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = 5 x y^{\prime }-{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = x -y^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \left (x -5 y\right )^{{1}/{3}}+2
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y \left (x -y\right )-y^{\prime } x^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }+5 x = 10 t +2
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = \frac {x}{t}+\frac {x^{2}}{t^{3}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = x y^{\prime }+{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = x y^{\prime }+{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \frac {3 x -4 y-2}{3 x -4 y-3}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }-x \cot \left (t \right ) = 4 \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = x^{2}+2 x y^{\prime }+\frac {{y^{\prime }}^{2}}{2}
\]
|
✗ |
✓ |
✓ |
|
|
\[
{} y^{\prime }-\frac {3 y}{x}+x^{3} y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y \left (1+{y^{\prime }}^{2}\right ) = a
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2}-y+\left (x^{2} y^{2}+x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 3 y^{2}-x +2 y \left (y^{2}-3 x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y \left (x -y\right )-y^{\prime } x^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {x +y-3}{y-x +1}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }-y^{2} \ln \left (x \right )+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x^{2}-1\right ) y^{\prime }+2 x y-\cos \left (x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (3+2 x +4 y\right ) y^{\prime }-2 y-x -1 = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (-x +y^{2}\right ) y^{\prime }-y+x^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (y^{2}-x^{2}\right ) y^{\prime }+2 x y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 x y^{2} y^{\prime }+y^{3}-2 x = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{2}+\left (x +a \right ) y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{2}+2 y y^{\prime } \cot \left (x \right )-y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = y \,{\mathrm e}^{x +y} \left (x^{2}+1\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } x^{2} = 1+y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \sin \left (x y\right )
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} x \left ({\mathrm e}^{y}+4\right ) = {\mathrm e}^{x +y} y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \cos \left (x +y\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }+y = x y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = t \ln \left (y^{2 t}\right )+t^{2}
\]
|
✓ |
✗ |
✗ |
|
|
\[
{} y^{\prime } = x \,{\mathrm e}^{-x +y^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \ln \left (x y\right )
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} x \left (1+y\right )^{2} = \left (x^{2}+1\right ) y \,{\mathrm e}^{y} y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \cos \left (x \right ) y^{\prime }+y \,{\mathrm e}^{x^{2}} = \sinh \left (x \right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y y^{\prime } = 1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \sinh \left (x \right ) {y^{\prime }}^{2}+3 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 5 y^{\prime }-x y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{2} \sqrt {y} = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{2}+x y {y^{\prime }}^{2} = \ln \left (x \right )
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} y+2 y^{\prime } = {\mathrm e}^{-\frac {t}{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} -y+y^{\prime } = {\mathrm e}^{2 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y+y^{\prime } = \operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -2\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} -2 y+y^{\prime } = 4 t \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -2\right )\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 10 Q^{\prime }+100 Q = \operatorname {Heaviside}\left (t -1\right )-\operatorname {Heaviside}\left (t -2\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+\cos \left (x \right ) y = \frac {\sin \left (2 x \right )}{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} {y^{\prime }}^{2}-y^{\prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y \left (1-{y^{\prime }}^{2}\right ) = \left (x^{2}-y^{2}-a^{2}\right ) y^{\prime }
\]
|
✓ |
✗ |
✗ |
|
|
\[
{} y-x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (1+u \right ) v+\left (1-v\right ) u v^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 1+y-\left (1-x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (t^{2}+x t^{2}\right ) x^{\prime }+x^{2}+t x^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y-a +y^{\prime } x^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} z-\left (-a^{2}+t^{2}\right ) z^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {1+y^{2}}{x^{2}+1}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 1+s^{2}-\sqrt {t}\, s^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} r^{\prime }+r \tan \left (t \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x^{2}+1\right ) y^{\prime }-\sqrt {1-y^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } \sqrt {-x^{2}+1}-\sqrt {1-y^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (1-{\mathrm e}^{x}\right ) \sec \left (y\right )^{2} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -x y^{2}+\left (y-x^{2} y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y-x +\left (x +y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }+x +y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x +y+\left (y-x \right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }-y = \sqrt {x^{2}+y^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (7 x +5 y\right ) y^{\prime }+10 x +8 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 \sqrt {s t}-s+t s^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t -s+t s^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{2} y^{\prime } = x^{3}+y^{3}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x \cos \left (\frac {y}{x}\right ) \left (x y^{\prime }+y\right ) = y \sin \left (\frac {y}{x}\right ) \left (x y^{\prime }-y\right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|