|
# |
ODE |
Mathematica |
Maple |
Sympy |
|
\[
{} {y^{\prime }}^{2}-y y^{\prime }+{\mathrm e}^{x} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 3 {y^{\prime }}^{2} x -6 y y^{\prime }+x +2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y = x y^{\prime }+\sqrt {a^{2} {y^{\prime }}^{2}+b^{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \left (x -y\right )^{2}+1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x \sin \left (x \right ) y^{\prime }+\left (\sin \left (x \right )-x \cos \left (x \right )\right ) y = \sin \left (x \right ) \cos \left (x \right )-x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+\cos \left (x \right ) y = y^{n} \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{3}-3 x y^{2}+\left (y^{3}-3 x^{2} y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 5 x y-4 y^{2}-6 x^{2}+\left (y^{2}-8 x y+\frac {5 x^{2}}{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 3 x y^{2}-x^{2}+\left (3 x^{2} y-6 y^{2}-1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y-x y^{2} \ln \left (x \right )+x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x y \,{\mathrm e}^{x^{2}}-x \sin \left (x \right )+{\mathrm e}^{x^{2}} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {1}{2 x -y^{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2}+x y^{\prime } = 3 x +y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y y^{\prime }-y^{2} = x^{4}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \frac {1}{x^{2}-x y+y^{2}} = \frac {y^{\prime }}{2 y^{2}-x y}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (2 x -1\right ) y^{\prime }-2 y = \frac {1-4 x}{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -y+3+\left (3 x +y+1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+\cos \left (\frac {x}{2}+\frac {y}{2}\right ) = \cos \left (\frac {x}{2}-\frac {y}{2}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } \left (3 x^{2}-2 x \right )-y \left (6 x -2\right ) = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{2} y^{\prime }-y^{3} = \frac {x^{4}}{3}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2}+y^{2}-x y y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -y+2+\left (x -y+3\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y+x y^{2}-x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y y^{\prime }+2 x +x^{2}+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x -1\right ) \left (y^{2}-y+1\right ) = \left (-1+y\right ) \left (x^{2}+x +1\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x -2 x y-y^{2}\right ) y^{\prime }+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \cos \left (x \right ) y+\left (2 y-\sin \left (x \right )\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }-1 = {\mathrm e}^{2 y+x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{5}+4 x^{3} y-2 x y^{2}+\left (y^{2}+2 x^{2} y-x^{4}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{n} y^{\prime } = 2 x y^{\prime }-y
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (3 x +3 y+a^{2}\right ) y^{\prime } = 4 x +4 y+b^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -y^{2}+2 x y y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }+y = y^{2} \ln \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \sin \left (\ln \left (x \right )\right )-\cos \left (\ln \left (y\right )\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \sqrt {\frac {9 y^{2}-6 y+2}{x^{2}-2 x +5}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (5 x -7 y+1\right ) y^{\prime }+x +y-1 = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x +y+1+\left (2 x +2 y-1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{3}+2 \left (x^{2}-x y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {2 \left (y+2\right )^{2}}{\left (x +y-1\right )^{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 x^{2} {y^{\prime }}^{2}-y^{2} = x y^{3}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+{y^{\prime }}^{2} x -y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{4} = 1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y = y^{\prime } \ln \left (\frac {y^{\prime }}{x}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }+3 x = {\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }-3 x = 3 t^{3}+3 t^{2}+2 t +1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }-x = \cos \left (t \right )-\sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{\prime }+6 x = t \,{\mathrm e}^{-3 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime }+x = 2 \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {x^{4}}{y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {x^{2} \left (x^{3}+1\right )}{y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+y^{3} \sin \left (x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {7 x^{2}-1}{7+5 y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \sin \left (2 x \right )^{2} \cos \left (y\right )^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y^{\prime } = \sqrt {1-y^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y y^{\prime } = \left (x y^{2}+x \right ) {\mathrm e}^{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {x^{2}+{\mathrm e}^{-x}}{y^{2}-{\mathrm e}^{y}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {x^{2}}{1+y^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {\sec \left (x \right )^{2}}{1+y^{3}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = 4 \sqrt {x y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = x \left (y-y^{2}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \left (1-12 x \right ) y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {3-2 x}{y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x +y y^{\prime } {\mathrm e}^{-x} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} r^{\prime } = \frac {r^{2}}{\theta }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {3 x}{y+x^{2} y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {2 x}{1+2 y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = 2 x y^{2}+4 x^{3} y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = x^{2} {\mathrm e}^{-3 y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {x \left (x^{2}+1\right ) y^{5}}{6}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {-{\mathrm e}^{x}+3 x^{2}}{2 y-11}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } x^{2} = y-x y
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y y^{\prime } = \frac {x}{\sqrt {x^{2}-4}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime } = 0
\]
|
✗ |
✓ |
✓ |
|
|
\[
{} \sqrt {-x^{2}+1}\, y^{2} y^{\prime } = \arcsin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {3 x^{2}+1}{12 y^{2}-12 y}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \frac {2 x^{2}}{2 y^{2}-6}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = 2 y^{2}+x y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {6-{\mathrm e}^{x}}{3+2 y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {2 \cos \left (2 x \right )}{10+2 y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = 2 \left (1+x \right ) \left (1+y^{2}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {t \left (4-y\right ) y}{3}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \frac {t y \left (4-y\right )}{t +1}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \frac {b +a y}{d +c y}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+4 y = {\mathrm e}^{-2 t}+t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} -2 y+y^{\prime } = {\mathrm e}^{2 t} t^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y+y^{\prime } = 1+t \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \frac {y}{t}+y^{\prime } = 5+\cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} -2 y+y^{\prime } = 3 \,{\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y+t y^{\prime } = \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 t y+y^{\prime } = 16 t \,{\mathrm e}^{-t^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 t y+\left (t^{2}+1\right ) y^{\prime } = \frac {1}{\left (t^{2}+1\right )^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y+2 y^{\prime } = 3 t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} -y+t y^{\prime } = t^{3} {\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y+y^{\prime } = 5 \sin \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y+2 y^{\prime } = 3 t^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} -y+y^{\prime } = 2 t \,{\mathrm e}^{2 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+2 y = t \,{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|