| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+10 y^{\prime }+24 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }-12 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-12 y^{\prime }+18 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+13 y^{\prime }+36 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+10 y^{\prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }-21 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-10 y^{\prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+13 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+t y^{\prime }+\left (t^{2}+1\right )^{2} y^{2} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime }-2 y = t y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y+t \sin \left (y\right ) = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+\sin \left (t \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-5\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (t^{2}+1\right ) y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\sqrt {t}\, y^{\prime }-\sqrt {t -3}\, y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (t -1\right ) y^{\prime \prime }-t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }-2 t y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 t^{2} y^{\prime \prime }-5 t y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 9 t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 t^{2} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }-3 t y^{\prime }-21 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+7 t y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }-3 t y^{\prime }+13 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 t^{2} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t y^{\prime \prime }+\left (t +1\right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t y^{\prime \prime }+\left (2+4 t \right ) y^{\prime }+\left (4+4 t \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t y^{\prime \prime }-2 y^{\prime }+t y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime \prime }-4 y^{\prime }+t y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t y^{\prime \prime }+\left (2+2 t \right ) y^{\prime }+\left (t +2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} -t y^{\prime \prime }+\left (t -2\right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} -t y^{\prime \prime }-2 y^{\prime }+t y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime \prime }+\left (2-5 t \right ) y^{\prime }+\left (6 t -5\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t y^{\prime \prime }+2 y^{\prime }+9 t y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime \prime }+\left (t +2\right ) y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t^{2} y^{\prime \prime }-3 t y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 t^{2} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+2 t y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime \prime }-y^{\prime }+4 t^{3} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime \prime }-2 \left (t +1\right ) y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-2 \sec \left (t \right )^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t y^{\prime \prime }+\left (t -1\right ) y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-\tan \left (t \right ) y^{\prime }-\sec \left (t \right )^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1+\cos \left (2 t \right )\right ) y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} t^{2} y^{\prime \prime }-2 t y^{\prime }+\left (t^{2}+2\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (-t^{2}+1\right ) y^{\prime \prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t^{2} y^{\prime \prime }+5 t y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|