| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-7 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 3 y+2 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }-5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }+\frac {y}{4} = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-9 y^{\prime \prime }+20 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+2 y^{\prime }+36 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-4 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+32 y^{\prime \prime }-64 y^{\prime }+64 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\left (6\right )}-5 y^{\prime \prime \prime \prime }+16 y^{\prime \prime \prime }-16 y^{\prime }-32 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+16 y^{\prime }+32 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 2 x \,{\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 9 x^{2}+2 x -1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{2}-1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 3 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 4 \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 3 \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x}+1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y = \sec \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime } = 5 x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x^{5}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = \sin \left (2 x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime } = 12
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+8 y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = \sin \left (2 x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = \sin \left (2 x \right )+\cos \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 t^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+8 y = \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = f \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \left \{\begin {array}{cc} 0 & t <1 \\ 2 & 1\le t \end {array}\right .
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y^{\prime } = {\mathrm e}^{t}
\]
|
✗ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y = \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y = {\mathrm e}^{t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = \sin \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }-3 y = \operatorname {Heaviside}\left (t -4\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-y = 5
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 9 x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 0
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime }+y = x
\]
|
✗ |
✗ |
✗ |
|
| \[
{} y^{\prime \prime }+y = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }-5 y = {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-3 x = \sin \left (y \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 6 \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} s^{\prime \prime } = -9 s
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime } = t^{2}-4 t +8
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 12 x \left (4-x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 1-\cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \sqrt {2 x +1}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime } = -24 \cos \left (\frac {\pi x}{2}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = 4 x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = {\mathrm e}^{-x^{2}}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\lambda y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 2 x
\]
|
✓ |
✓ |
✓ |
|