| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0
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{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0
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| \[
{} -y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = 0
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| \[
{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{{\mathrm e}^{x}}
\]
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| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 2 \,{\mathrm e}^{-x}-x^{2} {\mathrm e}^{-x}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{\left (1-x \right )^{2}}
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{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = x^{2}
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = x
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }+y = \tan \left (x \right )
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{} y^{\prime \prime }+4 y = x^{2}+\cos \left (x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 x \,{\mathrm e}^{2 x}-\sin \left (x \right )^{2}
\]
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| \[
{} y^{\prime \prime }+y = 2 \,{\mathrm e}^{x}+x^{3}-x
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 3 \,{\mathrm e}^{2 x}-\cos \left (x \right )
\]
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{} y^{\prime \prime \prime }-y = x^{2}
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| \[
{} -3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 3 x^{2}+\sin \left (x \right )
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| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = 4+{\mathrm e}^{x}
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{} y^{\prime \prime }-2 y^{\prime } = {\mathrm e}^{2 x}+1
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{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = \cos \left (x \right )
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = \cos \left (x \right )-{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime \prime }-y = {\mathrm e}^{x} \cos \left (x \right )
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 2 x^{3}-x \,{\mathrm e}^{3 x}
\]
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| \[
{} -4 y^{\prime }+y^{\prime \prime \prime } = -3 \,{\mathrm e}^{2 x}+x^{2}
\]
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = \cos \left (x \right )
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| \[
{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = x^{2}-x
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{} y^{\prime \prime }+4 y = \sin \left (x \right )^{2}
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{} y^{\prime \prime }+4 y = \sec \left (x \right )^{2}
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{} -2 y+5 y^{\prime }-3 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }+y = x \cos \left (x \right )
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| \[
{} y^{\prime \prime \prime }-y = x \,{\mathrm e}^{x}+\cos \left (x \right )^{2}
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| \[
{} y^{\prime \prime } = x \,{\mathrm e}^{x}
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| \[
{} x^{\prime \prime }+2 x^{\prime }+2 x = 0
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{} 2 x^{\prime \prime }-5 x^{\prime }-3 x = 0
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| \[
{} x^{\prime \prime } = -3 \sqrt {t}
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| \[
{} x^{\prime \prime }+x^{\prime } = 3 t
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| \[
{} x^{\prime \prime }-4 x^{\prime }+4 x = 0
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| \[
{} x^{\prime \prime }-2 x^{\prime } = 0
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| \[
{} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0
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{} x^{\prime \prime }+4 x^{\prime }+3 x = 0
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| \[
{} x^{\prime \prime }-4 x^{\prime }+4 x = 0
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| \[
{} x^{\prime \prime }-2 x^{\prime } = 0
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{} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0
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{} x^{\prime \prime }+4 x^{\prime }+3 x = 0
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{} x^{\prime \prime }+x^{\prime }+4 x = 0
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| \[
{} x^{\prime \prime }-4 x^{\prime }+6 x = 0
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{} x^{\prime \prime }+9 x = 0
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{} x^{\prime \prime }-12 x = 0
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| \[
{} 2 x^{\prime \prime }+3 x^{\prime }+3 x = 0
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| \[
{} \frac {x^{\prime \prime }}{2}+\frac {5 x^{\prime }}{6}+\frac {2 x}{9} = 0
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| \[
{} x^{\prime \prime }+x^{\prime }+x = 0
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| \[
{} x^{\prime \prime }+\frac {x^{\prime }}{8}+x = 0
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| \[
{} x^{\prime \prime }+x^{\prime }+x = 3 t^{3}-1
\]
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{} x^{\prime \prime }+x^{\prime }+x = 3 \cos \left (t \right )-2 \sin \left (t \right )
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| \[
{} x^{\prime \prime }+x^{\prime }+x = 12
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{} x^{\prime \prime }+x^{\prime }+x = t^{2} {\mathrm e}^{3 t}
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| \[
{} x^{\prime \prime }+x^{\prime }+x = 5 \sin \left (7 t \right )
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{} x^{\prime \prime }+x^{\prime }+x = {\mathrm e}^{2 t} \cos \left (t \right )+t^{2}
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{} x^{\prime \prime }+x^{\prime }+x = t \,{\mathrm e}^{-t} \sin \left (\pi t \right )
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{} x^{\prime \prime }+x^{\prime }+x = \left (t +2\right ) \sin \left (\pi t \right )
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{} x^{\prime \prime }+x^{\prime }+x = 4 t +5 \,{\mathrm e}^{-t}
\]
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{} x^{\prime \prime }+x^{\prime }+x = 5 \sin \left (2 t \right )+t \,{\mathrm e}^{t}
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{} x^{\prime \prime }+x^{\prime }+x = t^{3}+1-4 \cos \left (t \right ) t
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{} x^{\prime \prime }+x^{\prime }+x = -6+2 \,{\mathrm e}^{2 t} \sin \left (t \right )
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{} x^{\prime \prime }+7 x = t \,{\mathrm e}^{3 t}
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| \[
{} x^{\prime \prime }-x^{\prime } = 6+{\mathrm e}^{2 t}
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{} x^{\prime \prime }+x = t^{2}
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{} x^{\prime \prime }-3 x^{\prime }-4 x = 2 t^{2}
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{} x^{\prime \prime }+x = 9 \,{\mathrm e}^{-t}
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{} x^{\prime \prime }-4 x = \cos \left (2 t \right )
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{} x^{\prime \prime }+x^{\prime }+2 x = t \sin \left (2 t \right )
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{} x^{\prime \prime }-b x^{\prime }+x = \sin \left (2 t \right )
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{} x^{\prime \prime }-3 x^{\prime }-40 x = 2 \,{\mathrm e}^{-t}
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{} x^{\prime \prime }-2 x^{\prime } = 4
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{} x^{\prime \prime }+2 x = \cos \left (\sqrt {2}\, t \right )
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{} x^{\prime \prime }+\frac {x^{\prime }}{100}+4 x = \cos \left (2 t \right )
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{} x^{\prime \prime }+w^{2} x = \cos \left (\beta t \right )
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{} x^{\prime \prime }+3025 x = \cos \left (45 t \right )
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{} x^{\prime \prime }+x = \tan \left (t \right )
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{} x^{\prime \prime }-x = t \,{\mathrm e}^{t}
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{} x^{\prime \prime }-x = \frac {1}{t}
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{} x^{\prime \prime }+x = \frac {1}{t +1}
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{} x^{\prime \prime }-2 x^{\prime }+x = \frac {{\mathrm e}^{t}}{2 t}
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{} x^{\prime \prime }-x = \frac {{\mathrm e}^{t}}{1+{\mathrm e}^{t}}
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{} x^{\prime \prime }-2 a x^{\prime }+a^{2} x = 0
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{} x^{\prime \prime \prime }+x^{\prime } = 0
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{} x^{\prime \prime \prime }+x^{\prime } = 1
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{} x^{\prime \prime \prime }+x^{\prime \prime } = 0
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{} x^{\prime \prime \prime }-x^{\prime }-8 x = 0
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{} x^{\prime \prime \prime }+x^{\prime \prime } = 2 \,{\mathrm e}^{t}+3 t^{2}
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{} x^{\prime \prime \prime }-8 x = 0
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{} x^{\prime \prime \prime }+x^{\prime \prime }-x^{\prime }-4 x = 0
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| \[
{} x^{\prime \prime }-x^{\prime }-6 x = 0
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| \[
{} x^{\prime \prime }-2 x^{\prime }+2 x = 0
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| \[
{} x^{\prime \prime }-2 x^{\prime }+2 x = {\mathrm e}^{-t}
\]
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