| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+4 y^{\prime }+13 y = 0
\]
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| \[
{} y^{\prime \prime }+4 y = 2 t -8
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
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| \[
{} y^{\prime \prime }+y = 2 \cos \left (t \right )
\]
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| \[
{} t y^{\prime \prime }+t^{2} y^{\prime }-\sin \left (t \right ) \sqrt {t} = t^{2}-t +1
\]
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| \[
{} t^{2} s^{\prime \prime }-t s^{\prime } = 1-\sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = x
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
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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^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{x}
\]
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| \[
{} 2 x y^{\prime \prime }+x^{2} y^{\prime }-\sin \left (x \right ) y = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-7 y^{\prime } = 0
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| \[
{} y^{\prime \prime }-5 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-30 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-7 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
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| \[
{} 3 y+2 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }-5 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+\frac {y}{4} = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 x^{2}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = \sin \left (2 x \right )
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| \[
{} y^{\prime \prime } = 9 x^{2}+2 x -1
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{2}-1
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 3 \,{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 4 \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 3 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x^{5}}
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
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| \[
{} y^{\prime \prime }+4 y = \sin \left (2 x \right )^{2}
\]
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| \[
{} y^{\prime \prime }-\frac {y}{x} = x^{2}
\]
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| \[
{} y^{\prime \prime }+2 x y = x
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 x^{2}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+8 y = \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }+y = x
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| \[
{} y^{\prime \prime }+4 y = \sin \left (2 x \right )^{2}
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = \sin \left (2 x \right )+\cos \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 4 t^{2}
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+8 y = \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = f \left (t \right )
\]
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| \[
{} y^{\prime \prime }+y = \left \{\begin {array}{cc} 0 & t <1 \\ 2 & 1\le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-y = \sin \left (t \right )
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| \[
{} y^{\prime \prime }-y = {\mathrm e}^{t}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = \sin \left (2 t \right )
\]
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| \[
{} y^{\prime \prime }+y = \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-2 t}
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }-3 y = \operatorname {Heaviside}\left (t -4\right )
\]
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 9 x
\]
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+y = x
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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 }+y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+y = x
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| \[
{} y^{\prime \prime }+y = x
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }-5 y = {\mathrm e}^{3 x}
\]
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| \[
{} x^{\prime \prime }-3 x = \sin \left (y \right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 6 \,{\mathrm e}^{x}
\]
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| \[
{} s^{\prime \prime } = -9 s
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 2 x^{2}
\]
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| \[
{} x^{\prime \prime } = t^{2}-4 t +8
\]
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| \[
{} y^{\prime \prime } = 12 x \left (4-x \right )
\]
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| \[
{} y^{\prime \prime } = 1-\cos \left (x \right )
\]
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| \[
{} y^{\prime \prime } = \sqrt {2 x +1}
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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