| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+\left (\sin \left (x \right )+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+3\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\lambda y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = {y^{\prime }}^{2} \left (2+x y^{\prime }-4 y^{2} y^{\prime }\right )
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} t y^{\prime \prime }-t y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+7 y^{\prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 x^{\prime \prime }+19 x^{\prime }-14 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 8 y^{\prime \prime }-10 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-9 y^{\prime }+18 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-63 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 20 y^{\prime \prime }-3 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 35 y^{\prime \prime }-29 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y^{\prime \prime }+2 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 12 x^{\prime \prime }-25 x^{\prime }+12 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 38 x^{\prime \prime }+10 x^{\prime }-3 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-15 y^{\prime }+27 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-7 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }-3 z^{\prime }+z = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+36 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }+g z = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 9 y^{\prime \prime }+49 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+2 x^{\prime }+4 x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }-7 z^{\prime }-13 z = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-2 x^{\prime }+x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }+6 z^{\prime }+9 z = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }+8 z^{\prime }+16 z = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (1-y^{2}\right ) y^{\prime \prime } = y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} T^{\prime \prime }+{T^{\prime }}^{3} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} s^{\prime \prime } = -9 s
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-\tan \left (x \right ) y^{\prime }-\frac {\tan \left (x \right ) y}{x} = \frac {y^{3}}{x^{3}}
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+y\right )
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = \frac {1+{y^{\prime }}^{2}}{2 y}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-2 y y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-\frac {2 y^{\prime }}{y^{3}} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = \frac {1+{y^{\prime }}^{2}}{y}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = y^{\prime } \left (1+{y^{\prime }}^{2}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+x y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\cos \left (y\right ) = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y-x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 y-3 x y^{\prime \prime }+4 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (1+a \cos \left (2 x \right )\right ) y^{\prime \prime }+\lambda y = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+a^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-3 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }-3 y^{\prime }-5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} \left (x -a \right ) \left (x -b \right ) y^{\prime \prime }+2 \left (2 x -a -b \right ) y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-7 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y^{\prime \prime }+48 y^{\prime }+192 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+4 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+x y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+x y^{\prime \prime } = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y+x y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (1-x \right ) y^{\prime \prime }-x y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} 3 y^{\prime \prime }+y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime } \sin \left (x \right )+y \,{\mathrm e}^{x} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} \left (x -1\right ) y^{\prime \prime }+3 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 \tan \left (x \right ) y^{\prime }-x y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} \left (x^{2}-4\right ) y^{\prime \prime }+3 x^{3} y^{\prime }+\frac {4 y}{x -1} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+a^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+3 y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|