| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+9 y = 20 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 12 t
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| \[
{} y^{\prime \prime }+8 y^{\prime }+25 y = 100
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} t y^{\prime \prime }-t y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+y = 3 \delta \left (t -\pi \right )
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 6 \delta \left (t -2\right )
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-4 y = 0
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| \[
{} y^{\prime \prime }+7 y^{\prime }-8 y = 0
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| \[
{} 3 x^{\prime \prime }+19 x^{\prime }-14 x = 0
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| \[
{} 8 y^{\prime \prime }-10 y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime }-9 y^{\prime }+18 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-63 y = 0
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| \[
{} 20 y^{\prime \prime }-3 y^{\prime }-2 y = 0
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| \[
{} 35 y^{\prime \prime }-29 y^{\prime }+6 y = 0
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| \[
{} 3 y^{\prime \prime }+2 y^{\prime }-2 y = 0
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| \[
{} 12 x^{\prime \prime }-25 x^{\prime }+12 x = 0
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| \[
{} 38 x^{\prime \prime }+10 x^{\prime }-3 x = 0
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| \[
{} 2 y^{\prime \prime }-15 y^{\prime }+27 y = 0
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| \[
{} y^{\prime \prime }-3 y = 0
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| \[
{} y^{\prime \prime }-8 y = 0
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{} 4 y^{\prime \prime }-7 y = 0
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| \[
{} z^{\prime \prime }-3 z^{\prime }+z = 0
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| \[
{} y^{\prime \prime }+8 y^{\prime }+4 y = 0
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| \[
{} x^{\prime \prime }+36 x = 0
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| \[
{} y^{\prime \prime }+3 y = 0
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| \[
{} z^{\prime \prime }+g z = 0
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| \[
{} 9 y^{\prime \prime }+49 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }+3 y = 0
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| \[
{} x^{\prime \prime }+2 x^{\prime }+4 x = 0
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| \[
{} z^{\prime \prime }-7 z^{\prime }-13 z = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-5 y^{\prime }+8 y = 0
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} x^{\prime \prime }-2 x^{\prime }+x = 0
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| \[
{} z^{\prime \prime }+6 z^{\prime }+9 z = 0
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| \[
{} z^{\prime \prime }+8 z^{\prime }+16 z = 0
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| \[
{} y^{\prime \prime }-9 y = 5
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| \[
{} y^{\prime \prime }-3 y = {\mathrm e}^{x}
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| \[
{} x^{\prime \prime }-3 x^{\prime }-4 x = 3 \cos \left (2 t \right )
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| \[
{} z^{\prime \prime }-3 z^{\prime }+2 z = 4 \sin \left (3 t \right )
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| \[
{} x^{\prime \prime }-6 x^{\prime }-7 x = 4 z -7
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| \[
{} y^{\prime \prime }+3 y^{\prime }+5 y = 4 \,{\mathrm e}^{3 t}
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{} x^{\prime \prime }-2 x^{\prime }+5 x = 3 \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }+5 y^{\prime }+8 y = 4 \sin \left (5 x \right )
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{} x^{\prime \prime }+9 x^{\prime }+8 x = \sin \left (5 t \right )
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| \[
{} x^{\prime \prime }-9 x^{\prime }-10 x = \cos \left (4 t \right )
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{} y^{\prime \prime }-9 y^{\prime }+14 y = {\mathrm e}^{2 x}
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{} z^{\prime \prime }-4 z = \sin \left (2 x \right )
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{} y^{\prime \prime }+2 y^{\prime }-15 y = {\mathrm e}^{4 x}
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
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| \[
{} \left (1-y^{2}\right ) y^{\prime \prime } = y^{\prime }
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| \[
{} T^{\prime \prime }+{T^{\prime }}^{3} = 0
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| \[
{} y^{\prime \prime } {y^{\prime }}^{2}-x^{2} = 0
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| \[
{} x^{2} y^{\prime \prime } = {y^{\prime }}^{2}
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| \[
{} x^{\prime \prime }+3 x^{\prime } = {\mathrm e}^{-3 t}
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| \[
{} y^{\prime \prime }-4 y^{\prime } = 7
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{} z^{\prime \prime }+2 z^{\prime } = 3 \sin \left (x \right )
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| \[
{} s^{\prime \prime } = 5 t^{2}-7 t
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| \[
{} s^{\prime \prime } = -9 s
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{} y^{\prime \prime }-5 y^{\prime }+6 y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = x^{2}
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{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }-11 y^{\prime }+30 y = {\mathrm e}^{5 x}
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{} y^{\prime \prime }+2 y^{\prime }+y = \cos \left (x \right )
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{} 2 y^{\prime \prime }-3 y^{\prime }-5 y = 2 \sin \left (2 x \right )+3 \cos \left (2 x \right )
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{} y^{\prime \prime }-7 y^{\prime }+2 y = {\mathrm e}^{2 x}
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| \[
{} 2 y^{\prime \prime }-4 y^{\prime }-y = 7 \,{\mathrm e}^{5 x}
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{} y^{\prime \prime }-2 y^{\prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+2 y = 7 \cos \left (3 x \right )
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{} y^{\prime \prime }-2 y^{\prime }-y = 2 \cos \left (3 x \right )-3 \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 5 x^{3}
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 2 x^{3}+7 x^{2}-x
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{} y^{\prime \prime }+2 y^{\prime }+2 y = 5 \sin \left (x \right )
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{} x^{\prime \prime }-3 x^{\prime }+2 x = 5 \cos \left (t \right )
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1-\frac {1}{4 x^{2}}\right ) y = \sqrt {x}
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = x
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 8 \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 1+x^{2}+{\mathrm e}^{-2 x}
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| \[
{} y^{\prime \prime }-4 y^{\prime }+13 y = {\mathrm e}^{2 x} \sin \left (3 x \right )
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = x^{2}
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{} y^{\prime \prime }-4 y = 12
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| \[
{} x^{\prime \prime }+4 x = 2 t +\sin \left (2 t \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = x^{2} {\mathrm e}^{x}
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| \[
{} 16 y+8 y^{\prime }+y^{\prime \prime } = x \left (12-{\mathrm e}^{-4 x}\right )
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{} y^{\prime \prime }-2 y^{\prime }+4 y = {\mathrm e}^{x} \cos \left (x \right )
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }-4 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y+x y^{\prime \prime } = x \,{\mathrm e}^{x}
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }+y^{\prime } = 2
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| \[
{} y^{\prime \prime }-\tan \left (x \right ) y^{\prime }-\frac {\tan \left (x \right ) y}{x} = \frac {y^{3}}{x^{3}}
\]
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| \[
{} m s^{\prime \prime } = \frac {g \,t^{2}}{2}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {y-y^{\prime }}{x}
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