| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = x^{3} {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 2 x^{2} {\mathrm e}^{-2 x}+3 \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x^{2} \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y = x^{2}+1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x}+{\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} i^{\prime \prime }+2 i^{\prime }+5 i = 34 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = x \,{\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = x \left (\cos \left (x \right )+1\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} r^{\prime \prime }-2 r = -{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = \ln \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} Q^{\prime \prime }+k Q = e \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = f \left (x \right )
\]
|
✓ |
✗ |
✓ |
|
| \[
{} y^{\prime \prime }+y = f \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime } = 4
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+9 y = 20 \,{\mathrm e}^{-t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 12 t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+8 y^{\prime }+25 y = 100
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = 3 \delta \left (t -\pi \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 6 \delta \left (t -2\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-9 y = 5
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-3 x^{\prime }-4 x = 3 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }-3 z^{\prime }+2 z = 4 \sin \left (3 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-6 x^{\prime }-7 x = 4 z -7
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+5 y = 4 \,{\mathrm e}^{3 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-2 x^{\prime }+5 x = 3 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime }+8 y = 4 \sin \left (5 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+9 x^{\prime }+8 x = \sin \left (5 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-9 x^{\prime }-10 x = \cos \left (4 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-9 y^{\prime }+14 y = {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }-4 z = \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }-15 y = {\mathrm e}^{4 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+3 x^{\prime } = {\mathrm e}^{-3 t}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime } = 7
\]
|
✓ |
✓ |
✓ |
|
| \[
{} z^{\prime \prime }+2 z^{\prime } = 3 \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} s^{\prime \prime } = 5 t^{2}-7 t
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{3 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-11 y^{\prime }+30 y = {\mathrm e}^{5 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-3 y^{\prime }-5 y = 2 \sin \left (2 x \right )+3 \cos \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-7 y^{\prime }+2 y = {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }-4 y^{\prime }-y = 7 \,{\mathrm e}^{5 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y = 7 \cos \left (3 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }-y = 2 \cos \left (3 x \right )-3 \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 5 x^{3}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime }+y = 2 x^{3}+7 x^{2}-x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 5 \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }-3 x^{\prime }+2 x = 5 \cos \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 8 \sin \left (2 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 1+x^{2}+{\mathrm e}^{-2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y^{\prime }+13 y = {\mathrm e}^{2 x} \sin \left (3 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = x^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-4 y = 12
\]
|
✓ |
✓ |
✓ |
|
| \[
{} x^{\prime \prime }+4 x = 2 t +\sin \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x^{2} {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 16 y+8 y^{\prime }+y^{\prime \prime } = x \left (12-{\mathrm e}^{-4 x}\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+4 y = {\mathrm e}^{x} \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} m s^{\prime \prime } = \frac {g \,t^{2}}{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 1
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \cos \left (x \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime } = 3
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime } = 3 x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = x^{2}+3
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{x}+{\mathrm e}^{-2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+9 y = \cos \left (3 x \right )-\sin \left (3 x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-13 y^{\prime }+36 y = x \,{\mathrm e}^{4 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-10 y^{\prime }+25 y = x^{2} {\mathrm e}^{5 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y^{\prime } = {\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+5 y^{\prime } = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y = \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+2 y = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x +2 \,{\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{x}+\sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = x +{\mathrm e}^{-x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{x}+\sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = 4 x^{3}-8 x^{2}-14 x +7
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = {\mathrm e}^{x} \left (1+x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} -y+y^{\prime \prime } = x \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-x} \cos \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 2 y^{\prime \prime }+y^{\prime }-y = {\mathrm e}^{x} \left (x^{2}-1\right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }+4 y = \sin \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 2 x \,{\mathrm e}^{-x}+x^{2}
\]
|
✓ |
✓ |
✓ |
|