| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime \prime }-x y^{\prime \prime }-y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime \prime }-2 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime \prime }+x y^{\prime \prime }-4 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -8 y+7 x y^{\prime }-3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime \prime }+3 x y^{\prime \prime }+2 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime \prime }+\left (x^{2}-3\right ) y^{\prime \prime }+4 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{2}+\left (2 x y-1\right ) y^{\prime }+x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} x y^{\prime \prime \prime }-x y^{\prime \prime }-y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime \prime \prime }+a^{2} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime \prime \prime } = \lambda y^{\prime \prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} n \,x^{3} y^{\prime \prime \prime } = y-x y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} a y^{\prime \prime \prime } = y^{\prime \prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-x y^{\prime \prime }-y^{\prime }+x y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 x -1\right )^{3} y^{\prime \prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (x^{2}+x +1\right ) y^{\prime \prime \prime }+\left (6 x +3\right ) y^{\prime \prime }+6 y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-x^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }+5 x^{\prime \prime }-6 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-4 x^{\prime \prime }+x^{\prime }-4 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-3 x^{\prime \prime }+4 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }+4 x^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-x^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-x^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }+x^{\prime \prime }-2 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }+a x^{\prime \prime }+b x^{\prime }+c x = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} x^{\prime \prime \prime }-3 x^{\prime }+k x = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} x^{\prime \prime \prime \prime }-6 x^{\prime \prime }+5 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }-x^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }-4 x^{\prime \prime }+x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }-8 x^{\prime \prime \prime }+23 x^{\prime \prime }-28 x^{\prime }+12 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }+2 x^{\prime \prime }-4 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\left (5\right )}-x^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\left (5\right )}+x^{\prime \prime \prime \prime }-x^{\prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\left (5\right )}+x = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} x^{\left (6\right )}-x^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\left (6\right )}-64 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }-3 x^{\prime \prime \prime }+2 x^{\prime }-5 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{3} x^{\prime \prime \prime }+4 t^{2} x^{\prime \prime }+3 t x^{\prime }+x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-2 x^{\prime \prime }+3 x^{\prime }+x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }+x^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }+a x^{\prime \prime }+b x^{\prime }+c x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }+x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime }+5 x^{\prime \prime }+9 x^{\prime }+5 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }+x^{\prime \prime \prime }-x^{\prime }-x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime \prime \prime }+8 x^{\prime \prime \prime }+23 x^{\prime \prime }+2 x^{\prime }+12 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }-3 y^{\prime }+18 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+18 y^{\prime \prime }-20 y^{\prime }+8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+54 y^{\prime \prime }+108 y^{\prime }+81 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+7 y^{\prime \prime }+6 y^{\prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }+3 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+5 y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+42 y^{\prime \prime }-104 y^{\prime }+169 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+x y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-x y^{\prime }+\sin \left (y\right ) = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-9 y^{\prime \prime }+20 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+2 y^{\prime }+36 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-4 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+32 y^{\prime \prime }-64 y^{\prime }+64 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (6\right )}-5 y^{\prime \prime \prime \prime }+16 y^{\prime \prime \prime }-16 y^{\prime }-32 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|