|
# |
ODE |
Mathematica |
Maple |
Sympy |
|
\[
{} 2 y = \left (x^{2} y^{4}+x \right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 1+x y \left (x y^{2}+1\right ) y^{\prime } = 0
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} \left (-x^{2}+1\right ) y^{\prime }+x y = x \left (-x^{2}+1\right ) \sqrt {y}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (1-x \right ) y^{\prime }-y-1 = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{2}+\left (x y+x^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x +y-\left (x -2 y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x \ln \left (x \right ) y^{\prime }+y-x = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -2 y+1+\left (y-2\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x y-2 x y^{3}+x^{3}+\left (x^{2}+y^{2}-3 x^{2} y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 2 \,{\mathrm e}^{x}-t^{2}+t \,{\mathrm e}^{x} x^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 6+2 y = x y y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -3 y = \left (3 y-x +2\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y \sin \left (x \right )-2 \cos \left (y\right )+\tan \left (x \right )-\left (\cos \left (x \right )-2 x \sin \left (y\right )+\sin \left (y\right )\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y-\left (x^{3}+y^{3}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y-x y^{\prime } = 2 y^{2}+2 y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \tan \left (y\right ) = \left (3 x +4\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+y \ln \left (y\right ) \tan \left (x \right ) = 2 y
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x y+y^{4}+\left (x y^{3}-2 x^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y+\left (3 x -2 y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} r^{\prime } = r \cot \left (\theta \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (3 x +4 y\right ) y^{\prime }+y+2 x = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{3}-y^{3}-3 x +3 x y^{2} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }-y-\sqrt {x^{2}+y^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = \cos \left (y\right ) \cos \left (x \right )^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x +y+\left (2 x +3 y-1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+x +\cot \left (x \right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 x -6 = x y y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -2 x y+{\mathrm e}^{y}+\left (y-x^{2}+x \,{\mathrm e}^{y}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 2 x y^{\prime }-y+\frac {x^{2}}{y^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }+y \left (1+y^{2}\right ) = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y \sqrt {x^{2}+y^{2}}+x y = x^{2} y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 \,{\mathrm e}^{x} \tan \left (y\right ) = \left (1-{\mathrm e}^{x}\right ) \sec \left (y\right )^{2} y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \sec \left (y\right )^{2} y^{\prime } = \tan \left (y\right )+2 x \,{\mathrm e}^{x}
\]
|
✓ |
✗ |
✗ |
|
|
\[
{} 2 x \tan \left (y\right )+3 y^{2}+x^{2}+\left (x^{2} \sec \left (y\right )^{2}+6 x y-y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y \cos \left (\frac {x}{y}\right )-\left (y+x \cos \left (\frac {x}{y}\right )\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y \left (3 x^{2}+y\right )-x \left (x^{2}-y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x +\left (2 x +3 y+2\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }-5 y-x \sqrt {y} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x \sqrt {1-y}-\sqrt {-x^{2}+1}\, y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y-y^{2}-x^{2} y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x \,{\mathrm e}^{-y^{2}}+y y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \frac {2 y^{3}-2 x^{2} y^{3}-x +x y^{2} \ln \left (y\right )}{x y^{2}}+\frac {\left (2 y^{3} \ln \left (x \right )-x^{2} y^{3}+2 x +x y^{2}\right ) y^{\prime }}{y^{3}} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y^{\prime }-2 y-2 x^{4} y^{3} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (-2 x^{2}-3 x y\right ) y^{\prime }+y^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime } = x^{4}+4 y
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y+x y^{\prime } = x^{3} y^{6}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{\prime } = x+x^{2} {\mathrm e}^{\theta }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2}+y^{2} = 2 x y y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 x y+\left (3 x^{2}+y^{2}\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+2 y = 3 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 x y^{2}+\left (x^{2}+1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x -2 y+3 = \left (x -2 y+1\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{2}+\left (x^{3}-2 x y\right ) y^{\prime } = 0
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} 2 x y-2 y+1+x \left (x -1\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{3}+2 x^{2} y+\left (-3 x^{3}-2 x y^{2}\right ) y^{\prime } = 0
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} 2 \left (x^{2}+1\right ) y^{\prime } = \left (2 y^{2}-1\right ) x y
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+7 y^{\prime }+12 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-7 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y^{\prime \prime }+3 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-3 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y^{\prime \prime }+2 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime }+8 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-7 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-9 y^{\prime \prime }+23 y^{\prime }-15 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 12 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 y^{\prime \prime \prime }+2 y^{\prime \prime }-4 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-7 y^{\prime \prime }-8 y^{\prime }+12 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-13 y^{\prime \prime \prime }-13 y^{\prime \prime }+36 y^{\prime }+36 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-15 y^{\prime \prime \prime }-19 y^{\prime \prime }+30 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\left (5\right )}+3 y^{\prime \prime \prime }+2 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 y^{\left (5\right )}-3 y^{\prime \prime \prime }-y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|