| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{4 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 5 x +2
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-15 y = 15 x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sec \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 \,{\mathrm e}^{\frac {5 x}{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 p y^{\prime }+\left (p^{2}+q^{2}\right ) y = {\mathrm e}^{k x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+9 y = \sin \left (2 x \right )+\cos \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+a^{2} y = \cos \left (a x \right )+\cos \left (b x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = {\mathrm e}^{x}+\sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-12 y = \cos \left (4 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 2 \sin \left (\frac {x}{2}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sin \left (3 x \right )-\cos \left (\frac {x}{2}\right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-6 y^{\prime } = x^{2}+1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{2 x}+x^{2}+x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y-3 y^{\prime }+y^{\prime \prime \prime } = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{2 x} \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+4 y = {\mathrm e}^{x} \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = \cosh \left (x \right ) \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-7 y^{\prime }-6 y = {\mathrm e}^{2 x} \left (1+x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+y^{\prime \prime }+y^{\prime \prime \prime \prime } = x^{2} a +b \,{\mathrm e}^{-x} \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }-12 y = \left (x -1\right ) {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = x^{2} \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y = x \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x} \sin \left (x \right ) x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 8 x^{2} {\mathrm e}^{2 x} \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = {\mathrm e}^{-x}+\cos \left (x \right )+x^{3}+{\mathrm e}^{x} \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+y^{\prime \prime }+y^{\prime \prime \prime \prime } = {\mathrm e}^{-\frac {x}{2}} \cos \left (\frac {\sqrt {3}\, x}{2}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (6\right )}-2 y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }+y = \sin \left (\frac {x}{2}\right )^{2}+{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime }+16 y = 16 x^{2}+256
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 3 \cos \left (x \right )^{2}+2 \sin \left (x \right )^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y = 96 \sin \left (2 x \right ) \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+10 y+37 \sin \left (3 x \right ) = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 24 x \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime } = f \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = x +\sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \frac {a}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -a^{2} y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a y^{\prime \prime } = y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-n^{2} y^{\prime \prime \prime } = {\mathrm e}^{a x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+a^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a y^{\prime \prime \prime } = y^{\prime \prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime } = \sin \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \csc \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = 4 \tan \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = \frac {2}{{\mathrm e}^{x}+1}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+9 y^{\prime }-18 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+n^{2} y = \sec \left (n x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y = \left ({\mathrm e}^{x}+1\right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+y = a \cos \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+a^{2} y^{\prime } = \sin \left (a x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = {\mathrm e}^{x}+\cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{2} {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 2 \sinh \left (2 x \right )
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+a^{2} y = \cos \left (a x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime } = x \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = x^{2} \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \sec \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+a^{2} y = \sec \left (a x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 20 y-9 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 8 y^{\prime \prime }+4 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-x^{\prime }-6 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-3 x^{\prime }+2 x = 6 \,{\mathrm e}^{3 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 10
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 5+10 \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 3 \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }-6 y = 3 \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sec \left (x \right )^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime } = 3 x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{x}+1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \tan \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 6 x \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \cos \left ({\mathrm e}^{x}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 20 \,{\mathrm e}^{-2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 2 \sin \left (3 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 1+2 \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+x = 5 t^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+x = 2 \tan \left (t \right )
\]
|
✓ |
✓ |
✓ |
|