| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+4 y = 15 \,{\mathrm e}^{x}-8 x
\]
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| \[
{} y^{\prime \prime }+4 y = 15 \,{\mathrm e}^{x}-8 x^{2}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 12 \,{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 12 \,{\mathrm e}^{-2 x}
\]
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| \[
{} y^{\prime \prime }-4 y = 2+{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 6 x +6 \,{\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 20 \cos \left (x \right )
\]
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{} y^{\prime \prime }-4 y^{\prime }+3 y = 2 \cos \left (x \right )+4 \sin \left (x \right )
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 7+75 \sin \left (2 x \right )
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 50 x +13 \,{\mathrm e}^{3 x}
\]
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{} y^{\prime \prime }+y = \cos \left (x \right )
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x}
\]
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{-x} \left (2 \sin \left (x \right )+4 \cos \left (x \right )\right )
\]
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| \[
{} -y+y^{\prime \prime } = 8 x \,{\mathrm e}^{x}
\]
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{} y^{\prime \prime \prime }-y = x
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 4 \sin \left (x \right )
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-4 y = 3 \,{\mathrm e}^{-x}-4 x -6
\]
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| \[
{} y^{\prime \prime \prime \prime }-y = 7 x^{2}
\]
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{} y^{\prime \prime \prime \prime }-y = {\mathrm e}^{-x}
\]
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| \[
{} -y+y^{\prime \prime } = 10 \sin \left (x \right )^{2}
\]
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{} y^{\prime \prime }+y = 12 \cos \left (x \right )^{2}
\]
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| \[
{} y^{\prime \prime }+4 y = 4 \sin \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+y = 10 \,{\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-4 y = 2-8 x
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| \[
{} y^{\prime \prime }+3 y^{\prime } = -18 x
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 10 \,{\mathrm e}^{-3 x}
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| \[
{} x^{\prime \prime }+4 x^{\prime }+5 x = 10
\]
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| \[
{} x^{\prime \prime }+4 x^{\prime }+5 x = 8 \sin \left (t \right )
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = x
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{} y+2 y^{\prime }+y^{\prime \prime } = x
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| \[
{} 4 y^{\prime \prime }+y = 2
\]
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| \[
{} 2 y^{\prime \prime }-5 y^{\prime }-3 y = -9 x^{2}-1
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| \[
{} y^{\prime \prime }+y^{\prime } = 1+x
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| \[
{} y^{\prime \prime }+y = x^{3}
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| \[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime } = 4
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| \[
{} y^{\prime \prime }+y^{\prime } = 2-2 x
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{} y^{\prime \prime }+9 y = \sin \left (3 x \right )
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| \[
{} y^{\prime \prime }+a^{2} y = \sin \left (b x \right )
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{} y^{\prime \prime }+a^{2} y = \sin \left (a x \right )
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{} y^{\prime \prime }+9 y = 4 \cos \left (x \right )
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{} y^{\prime \prime }+9 y = 15 \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+9 y = 18 x -3+20 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-y^{\prime } = 42 \,{\mathrm e}^{4 x}
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }+6 y^{\prime }+14 y = 42 \,{\mathrm e}^{x}-7
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }+y = 1+4 x
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{} y^{\prime \prime }+y = \sin \left (2 x \right )
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{} y^{\prime \prime }+y = \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{x}-x +\sin \left (3 x \right )
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| \[
{} -y+y^{\prime \prime } = 2 x -3
\]
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| \[
{} -y+y^{\prime \prime } = x +\sin \left (x \right )
\]
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{2 x}
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| \[
{} -y+y^{\prime \prime } = 16 \,{\mathrm e}^{3 x}
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| \[
{} -y+y^{\prime \prime } = \cos \left (4 x \right )
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 6 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 4-{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{2 x}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{3 x}
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{} 4 y^{\prime \prime }-y = {\mathrm e}^{x}
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| \[
{} 4 y^{\prime \prime }-y = x
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| \[
{} 4 y^{\prime \prime }-y = x +{\mathrm e}^{x}
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x}
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x}
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 7+{\mathrm e}^{x}+{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-y = {\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime \prime }-y = x^{2}+8
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{} y^{\prime \prime \prime }-y = {\mathrm e}^{-x}
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{} y^{\prime \prime \prime \prime }+4 y = \cos \left (x \right )
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{} y^{\prime \prime \prime \prime }+4 y = \sin \left (x \right )
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{} y^{\prime \prime \prime \prime }+4 y = \sin \left (2 x \right )
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{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{3 x}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 12 x \,{\mathrm e}^{-2 x}
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{} y+2 y^{\prime }+y^{\prime \prime } = 3 x \,{\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 6 x \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }+12 y^{\prime \prime }+48 y^{\prime }+64 y = 8 x \,{\mathrm e}^{-4 x}
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| \[
{} y^{\prime \prime \prime }+9 y^{\prime \prime }+27 y^{\prime }+27 y = 15 x^{2} {\mathrm e}^{-3 x}
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{} y^{\prime \prime \prime }-12 y^{\prime \prime }+48 y^{\prime }-64 y = 15 x^{2} {\mathrm e}^{4 x}
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+9 y^{\prime \prime } = 16 \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+9 y^{\prime \prime } = 9 \,{\mathrm e}^{-3 x}
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{} y^{\prime \prime }-y^{\prime }-2 y = 18 x \,{\mathrm e}^{-x}
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{} y^{\prime \prime }-y^{\prime }-2 y = 36 x \,{\mathrm e}^{2 x}
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 20-3 x \,{\mathrm e}^{2 x}
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 4-8 x +6 x \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }-9 y = 18 x -162 x \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 4 x -6 \,{\mathrm e}^{-2 x}+3 \,{\mathrm e}^{x}
\]
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{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{-x}+3 x
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{} y^{\prime \prime }-4 y = 16 x \,{\mathrm e}^{-2 x}+8 x +4
\]
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{} y^{\prime \prime }-4 y = 8 x \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }-9 y = -72 x \,{\mathrm e}^{-3 x}
\]
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{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{-x}
\]
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{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+4 y^{\prime \prime } = 2 \,{\mathrm e}^{2 x}
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 48 \,{\mathrm e}^{-x} \cos \left (4 x \right )
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 18 \,{\mathrm e}^{-2 x} \cos \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x} \sec \left (x \right )^{2} \tan \left (x \right )
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = -\frac {{\mathrm e}^{-2 x}}{x^{2}}
\]
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