| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 9 y^{\prime \prime }+12 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y^{\prime \prime }+5 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }-12 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-8 y^{\prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \frac {1}{\sqrt {y}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = \ln \left (y\right ) y^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y y^{\prime \prime }+x {y^{\prime }}^{2}-y y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} n \,x^{3} y^{\prime \prime } = \left (y-x y^{\prime }\right )^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime } y^{\prime \prime }-x^{2} y y^{\prime }-x y^{2} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2}-{y^{\prime }}^{4} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} a^{2} y^{\prime \prime } = 2 x \sqrt {1+{y^{\prime }}^{2}}
\]
|
✓ |
✗ |
✗ |
|
| \[
{} x^{2} y y^{\prime \prime }+x^{2} {y^{\prime }}^{2}-5 y y^{\prime } x = 4 y^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2}+\left (1-\ln \left (y\right )\right ) y y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime \prime }}^{2}+2 x y^{\prime \prime }-y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime \prime }}^{2}-2 x y^{\prime \prime }-y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \sin \left (x \right )^{2} y^{\prime \prime } = 2 y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+p_{1} y^{\prime }+p_{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 x +1\right ) y^{\prime \prime }+\left (4 x -2\right ) y^{\prime }-8 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \sin \left (x \right )^{2} y^{\prime \prime }+\sin \left (x \right ) \cos \left (x \right ) y^{\prime } = y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}-\frac {n \left (n +1\right ) y}{x^{2}} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}+\left (1-\frac {m^{2}}{x^{2}}\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\frac {2 p y^{\prime }}{x}+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime }-y^{\prime }-x^{3} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+y^{2} = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-k y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime } = y^{2} y^{\prime }+{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = {\mathrm e}^{y} y^{\prime }
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2}-2 y y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+2 x {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime } = \left (3 x -2 y^{\prime }\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{2}+x^{2} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} -5 y-3 x y^{\prime }+x^{2} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+3 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime }-\left (x +n \right ) y^{\prime }+n y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y-y^{\prime } \left (1+x \right )+x y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 3 y-\left (x +3\right ) y^{\prime }+x y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-f \left (x \right ) y^{\prime }+\left (f \left (x \right )-1\right ) y = 0
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-4 y^{\prime }+8 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 20 y-9 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y+2 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 4 y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 16 y^{\prime \prime }-8 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|