| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \cot \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sec \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = \sin \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sin \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 12 \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x^{2} {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 4 x \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{-x} \ln \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \csc \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \tan \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = \frac {{\mathrm e}^{-x}}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sec \left (x \right ) \csc \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x} \ln \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \cos \left ({\mathrm e}^{-x}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+9 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+13 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\left (1+2 i\right ) y^{\prime }+\left (-1+i\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-6 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }-5 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime } = 10
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 16
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 24 \,{\mathrm e}^{-3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 2 \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 12 \,{\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 3 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-16 y = 40 \,{\mathrm e}^{4 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 2 \,{\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 6 \,{\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+10 y = 100 \cos \left (4 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+12 y = 80 \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }+25 y = 120 \sin \left (5 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y^{\prime \prime }+12 y^{\prime }+20 y = 120 \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+9 y = 30 \sin \left (3 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+16 y = 16 \cos \left (4 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+17 y = 60 \,{\mathrm e}^{-4 x} \sin \left (5 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }+4 y^{\prime }+5 y = 40 \,{\mathrm e}^{-\frac {3 x}{2}} \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+8 y = 30 \,{\mathrm e}^{-\frac {x}{2}} \cos \left (\frac {5 x}{2}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y^{\prime \prime }+6 y^{\prime }+2 y = x^{2}+6 x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+y^{\prime } = 2 x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 2 x \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 12 x \,{\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 16 x^{2} {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 8 x \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x^{3}-1+2 \cos \left (x \right )+\left (2-4 x \right ) {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 2 \,{\mathrm e}^{x}+6 x -5
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = \sinh \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 2 \sin \left (x \right )+4 x \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 4 \,{\mathrm e}^{x}+\left (1-x \right ) \left ({\mathrm e}^{2 x}-1\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime } = 9 x \,{\mathrm e}^{-x}-6 x^{2}+4 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime } = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} r^{\prime \prime }-6 r^{\prime }+9 r = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 10 \,{\mathrm e}^{x}+6 \,{\mathrm e}^{-x} \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 26 \,{\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 2 \,{\mathrm e}^{-2 x} \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 6 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 5 x +4 \,{\mathrm e}^{x} \left (1+\sin \left (2 x \right )\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 6
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = -4 y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = y
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} m y^{\prime \prime }+k y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} m y^{\prime \prime }+b y^{\prime }+k y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+18 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+12 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = 2 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+4 y = 5 \sin \left (3 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = -50 \sin \left (5 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+4 y = 6 \cos \left (2 t \right )+8 \sin \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} m y^{\prime \prime }+b y^{\prime }+k y = \cos \left (\omega t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{10}+25 y = \cos \left (\omega t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+25 y = \cos \left (\omega t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+7 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y^{\prime \prime }+y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }+z^{\prime }-z = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-11 y = 0
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 w^{\prime \prime }+20 w^{\prime }+25 w = 0
\]
|
✓ |
✓ |
✓ |
|