| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+4 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-16 y^{\prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime } = 16 y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+10 y^{\prime \prime }+25 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+27 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime } = y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime } = y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+2 y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y^{\prime \prime }-y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-3 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-9 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y^{\prime \prime }-5 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }-9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-3 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-\left (2 \alpha -1\right ) y^{\prime }+\alpha \left (\alpha -1\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\left (3-\alpha \right ) y^{\prime }-2 \left (\alpha -1\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+3 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+\frac {5 y}{4} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 9 y^{\prime \prime }+9 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+\frac {25 y}{4} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{\prime \prime }-u^{\prime }+2 u = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 u^{\prime \prime }+2 u^{\prime }+7 u = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 a y^{\prime }+\left (a^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 9 y^{\prime \prime }+6 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-4 y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }+12 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }+17 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 16 y^{\prime \prime }+24 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 25 y^{\prime \prime }-20 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 9 y^{\prime \prime }+6 y^{\prime }+82 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }+12 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }+\frac {y}{4} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 2 \,{\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 2 \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 3 \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 16 \,{\mathrm e}^{\frac {t}{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \tan \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+9 y = 9 \sec \left (3 t \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{-2 t}}{t^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = 3 \csc \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 2 \sec \left (\frac {t}{2}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{t}}{t^{2}+1}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = g \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = g \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{\prime \prime }+2 u = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{\prime \prime }+\frac {u^{\prime }}{4}+2 u = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{\prime \prime }+\frac {u^{\prime }}{8}+4 u = 3 \cos \left (\frac {t}{4}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{\prime \prime }+\frac {u^{\prime }}{8}+4 u = 3 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} u^{\prime \prime }+\frac {u^{\prime }}{8}+4 u = 3 \cos \left (6 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+3 y = t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|