| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+4 y = \sin \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+16 y = t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \frac {1+x}{x -1}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime } = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{2} y^{\prime \prime } = 8 x^{2}
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+8 y = {\mathrm e}^{-x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+2 = \sqrt {x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+4 y^{\prime } = 18 x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime } = 2 y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime } = 8 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime } = y^{\prime }-2 x^{2} y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 4 x \sqrt {y^{\prime }}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } y^{\prime \prime } = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime } = -{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x y^{\prime \prime } = -y^{\prime }+{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }-{y^{\prime }}^{2} = 6 x^{5}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = 2 y^{\prime }-6
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (y-3\right ) y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime } = 9 \,{\mathrm e}^{-3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \sin \left (y\right ) y^{\prime \prime }+\cos \left (y\right ) {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 2 y y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{2} y^{\prime \prime }+y^{\prime \prime }+2 y {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = 4 x \sqrt {y^{\prime }}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime } y^{\prime \prime } = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime } = -y^{\prime }+{y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }-y^{\prime } = 6 x^{5}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (y-3\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime } = 9 \,{\mathrm e}^{-3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = y^{\prime } \left (y^{\prime }-2\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+4 y^{\prime } = 18 x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime } = 2 y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = y^{\prime }
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime } = 8 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime }+x y^{\prime \prime } = 6
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x y^{\prime } y^{\prime \prime } = {y^{\prime }}^{2}-1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y y^{\prime \prime }+2 {y^{\prime }}^{2} = 3 y y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = -{\mathrm e}^{-y} y^{\prime }
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = -2 x {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = -2 x {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = -2 x {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = -2 x {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+x^{2} y^{\prime }-4 y = x^{3}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+x^{2} y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+x^{2} y^{\prime } = 4 y
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+x^{2} y^{\prime }+4 y = y^{3}
\]
|
✗ |
✗ |
✗ |
|
| \[
{} \left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{3}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime } = 2 y^{\prime }-5 y+30 \,{\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-10 y^{\prime }+25 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-6 x y^{\prime }+12 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 x^{2} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-\left (4+\frac {2}{x}\right ) y^{\prime }+\left (4+\frac {4}{x}\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1+x \right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-4 x^{2} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+\left (2 x +2\right ) y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \sin \left (x \right )^{2} y^{\prime \prime }-2 \sin \left (x \right ) \cos \left (x \right ) y^{\prime }+\left (\cos \left (x \right )^{2}+1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 9 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-6 y^{\prime }+8 y = {\mathrm e}^{4 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = \sqrt {x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-20 y = 27 x^{5}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }+\left (2 x +2\right ) y^{\prime }+2 y = 8 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} \left (1+x \right ) y^{\prime \prime }+x y^{\prime }-y = \left (1+x \right )^{2}
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} \left (1+x \right )^{2} y^{\prime \prime }-2 y^{\prime } \left (1+x \right )+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-10 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-7 y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|