| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 0
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{} y^{\prime \prime }-y = 4 x
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{} y^{\prime \prime }+y = {\mathrm e}^{-x^{2}}
\]
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| \[
{} y^{\prime \prime }+\lambda y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x y = 0
\]
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| \[
{} x y^{\prime \prime }-3 y^{\prime } = 4 x^{2}
\]
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| \[
{} y^{\prime \prime } = 2 x
\]
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| \[
{} i^{\prime \prime } = t^{2}+1
\]
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| \[
{} x^{2} y^{\prime \prime } = x^{2}+1
\]
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} x y^{\prime \prime }+2 y = 0
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| \[
{} y^{\prime \prime }-y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime } = x
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| \[
{} y^{\prime \prime } = y^{\prime }+2 x
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| \[
{} x y^{\prime \prime }+y^{\prime } = 1
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| \[
{} u^{\prime \prime }+\frac {u^{\prime }}{r} = 4-4 r
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = x^{3}
\]
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| \[
{} s^{\prime \prime }+b s^{\prime }+\omega ^{2} s = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }-y = 1
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = x
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| \[
{} y^{\prime \prime }-y = {\mathrm e}^{-x}
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = x^{3}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = x^{2}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = x
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 1
\]
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| \[
{} y^{\prime \prime }+\left (1-x \right ) y^{\prime }-x y = x
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| \[
{} y^{\prime \prime }+4 y^{\prime }-5 y = 0
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| \[
{} 4 y^{\prime \prime }-25 y = 0
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| \[
{} y^{\prime \prime }-4 y = 0
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| \[
{} i^{\prime \prime }-4 i^{\prime }+2 i = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-\left (m_{1} +m_{2} \right ) y^{\prime }+m_{1} m_{2} y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} 16 y^{\prime \prime }-8 y^{\prime }+y = 0
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| \[
{} 4 i^{\prime \prime }-12 i^{\prime }+9 i = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
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| \[
{} s^{\prime \prime }+16 s^{\prime }+64 s = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = x
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
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| \[
{} 4 y^{\prime \prime }+9 y = 0
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| \[
{} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} u^{\prime \prime }+16 u = 0
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| \[
{} i^{\prime \prime }+2 i^{\prime }+5 i = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 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 }+5 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-n^{2}+x^{2}\right ) y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+y = 2 \,{\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 4 \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }-4 y = 8 x^{2}
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+5 y = {\mathrm e}^{-x}+15 x
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| \[
{} 4 i^{\prime \prime }+i = t^{2}+2 \cos \left (4 t \right )
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| \[
{} y^{\prime \prime }+16 y = 5 \sin \left (x \right )
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| \[
{} s^{\prime \prime }-3 s^{\prime }+2 s = 8 t^{2}+12 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+y = 6 \cos \left (x \right )^{2}
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| \[
{} L q^{\prime \prime }+R q^{\prime }+\frac {q}{c} = E_{0} \sin \left (\omega t \right )
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 4 \sin \left (3 x \right )^{3}
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| \[
{} y^{\prime \prime }+y = \left \{\begin {array}{cc} x & 0\le x \le \pi \\ 0 & \pi <x \end {array}\right .
\]
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{} y^{\prime \prime }+2 y^{\prime }-3 y = 2 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+y = x^{2}+\sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime } = x^{2}+3 x +{\mathrm e}^{3 x}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+4 y = 8 \cos \left (2 x \right )-4 x
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| \[
{} i^{\prime \prime }+9 i = 12 \cos \left (3 t \right )
\]
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| \[
{} s^{\prime \prime }+s^{\prime } = t +{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+y = x \sin \left (x \right )
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| \[
{} y^{\prime \prime }+\omega ^{2} y = A \cos \left (\lambda x \right )
\]
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| \[
{} y^{\prime \prime }+4 y = \sin \left (x \right )^{4}
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| \[
{} y^{\prime \prime }+y = x \,{\mathrm e}^{-x}+3 \sin \left (x \right )
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{} y^{\prime \prime }-2 y^{\prime }-3 y = \sin \left (2 x \right ) x +x^{3} {\mathrm e}^{3 x}
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{} y^{\prime \prime }-2 y^{\prime }-y = x^{2} {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{-x} \cos \left (x \right )+2 x
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 3 \,{\mathrm e}^{x}+2 \,{\mathrm e}^{-x}+x^{3} {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }-y = x \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+4 y = x^{2}+3 x \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = \sin \left (3 x \right )+x \,{\mathrm e}^{-x}
\]
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| \[
{} q^{\prime \prime }+q = t \sin \left (t \right )+\cos \left (t \right )
\]
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| \[
{} y^{\prime \prime }+\omega ^{2} y = t \left (\sin \left (\omega t \right )+\cos \left (\omega t \right )\right )
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-x} \left (\cos \left (2 x \right )+1\right )
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| \[
{} y^{\prime \prime }+4 y = \cos \left (x \right ) \cos \left (2 x \right ) \cos \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }+y = x^{2} \cos \left (5 x \right )
\]
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| \[
{} y^{\prime \prime }+y = \cot \left (x \right )
\]
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{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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| \[
{} y^{\prime \prime }+4 y = \csc \left (2 x \right )
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{} y^{\prime \prime }-y = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 3 \,{\mathrm e}^{-2 x}+x
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = \ln \left (x \right )
\]
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