| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime }+x {y^{\prime }}^{2}-y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-k^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+k^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = x {y^{\prime }}^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \sin \left (x \right ) y^{\prime \prime } = y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (2+3 y\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+k y^{\prime }+L y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\frac {327 y^{\prime }}{100}-\frac {21 y}{50} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 x^{2} y^{\prime \prime }-5 x y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-x y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+x y^{\prime }+\left (3 x -9\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+p \left (x \right ) y^{\prime }+q \left (x \right ) y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} x \left (x -1\right ) y^{\prime \prime }+\left (-x^{2}+2 x +1\right ) y^{\prime }-\left (1+x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 a y^{\prime }+3 a^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-\left (a +b \right ) y^{\prime }+b y a = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }-10 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+a^{2} y-2 a y^{\prime }+y b^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+7 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+k^{2} x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+2 b x^{\prime }+k^{2} x = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = x {y^{\prime }}^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 a y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+\beta ^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } \cos \left (x \right ) = y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-x {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-x {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+{\mathrm e}^{-2 y} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 2 y^{\prime \prime } = \sin \left (2 y\right )
\]
|
✓ |
✗ |
✗ |
|
| \[
{} 2 y^{\prime \prime } = \sin \left (2 y\right )
\]
|
✓ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = {\mathrm e}^{x} {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime } = {y^{\prime }}^{3} \sin \left (2 x \right )
\]
|
✓ |
✓ |
✗ |
|
| \[
{} {y^{\prime }}^{2}+x^{2} y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-\cos \left (y\right ) y y^{\prime }\right )
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1+{y^{\prime }}^{2}+y y^{\prime \prime }\right )^{2} = \left (1+{y^{\prime }}^{2}\right )^{3}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime } = y^{\prime } \left (2 x -y^{\prime }\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime } = \left (3 x -2 y^{\prime }\right ) y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime } = y^{\prime } \left (2-3 x y^{\prime }\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{4} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+x^{3}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime }-x y^{\prime \prime }+{y^{\prime \prime }}^{2} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} {y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right )
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+a^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\sin \left (y\right ) = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-7 y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-12 y^{\prime }+18 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-12 y = 0
\]
|
✓ |
✓ |
✓ |
|