|
# |
ODE |
Mathematica |
Maple |
Sympy |
|
\[
{} y^{\prime }+2 x y = x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x y^{\prime }+y = 3 x^{3}-1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+y \,{\mathrm e}^{x} = 3 \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }-\tan \left (x \right ) y = {\mathrm e}^{\sin \left (x \right )}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+2 x y = x \,{\mathrm e}^{-x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+\cos \left (x \right ) y = {\mathrm e}^{-\sin \left (x \right )}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime }+2 x y = 1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime }+2 y = b \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = y+1
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = 1+y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime } = 1+y^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 y^{\prime \prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+2 i y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+\left (1+4 i\right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = \sin \left (3 x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = \tan \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+2 i y^{\prime }+y = x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 3 \,{\mathrm e}^{-x}+2 x^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-7 y^{\prime }+6 y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = 2 \sin \left (x \right ) \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 y^{\prime \prime }-y = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 6 y^{\prime \prime }+5 y^{\prime }-6 y = x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+\omega ^{2} y = A \cos \left (\omega x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-16 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-4 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\left (5\right )}+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 i y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-k^{4} y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-y = x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-8 y = {\mathrm e}^{i x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }+16 y = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime \prime }-y = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 i y^{\prime }-y = {\mathrm e}^{i x}-2 \,{\mathrm e}^{-i x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-4 y = 3 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-y^{\prime }-2 y = x^{2}+\cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = x^{2} {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = x \,{\mathrm e}^{x} \cos \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+i y^{\prime }+2 y = 2 \cosh \left (2 x \right )+{\mathrm e}^{-2 x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime } = x^{2}+{\mathrm e}^{-x} \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = x^{2} {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (3 x -1\right )^{2} y^{\prime \prime }+\left (9 x -3\right ) y^{\prime }-9 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+3 x^{2} y^{\prime }-x y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-x^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+x^{3} y^{\prime }+x^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+\left (x -1\right )^{2} y^{\prime }-\left (x -1\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y \,{\mathrm e}^{x} = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime \prime }-x y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\alpha \left (\alpha +1\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+\alpha ^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-2 x y^{\prime }+2 \alpha y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|