| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+8 y = 0
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| \[
{} 2 y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} 20 y-9 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
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| \[
{} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0
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| \[
{} 3 y+2 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime } = 4 y
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| \[
{} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0
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| \[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
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| \[
{} y^{\prime \prime }+4 y^{\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^{\prime }-5 y = 0
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| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+8 y^{\prime }-9 y = 0
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }-3 y = 0
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }-10 y = 6 \,{\mathrm e}^{4 x}
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| \[
{} y^{\prime \prime }+4 y = 3 \sin \left (x \right )
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| \[
{} y^{\prime \prime }+10 y^{\prime }+25 y = 14 \,{\mathrm e}^{-5 x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 25 x^{2}+12
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 20 \,{\mathrm e}^{-2 x}
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 14 \sin \left (2 x \right )-18 \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime } = 12 x -10
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 6 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime } = 10 x^{4}+2
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| \[
{} y^{\prime \prime }+4 y = 4 \cos \left (2 x \right )+6 \cos \left (x \right )+8 x^{2}-4 x
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| \[
{} y^{\prime \prime }+9 y = 2 \sin \left (3 x \right )+4 \sin \left (x \right )-26 \,{\mathrm e}^{-2 x}+27 x^{3}
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| \[
{} y^{\prime \prime }-3 y = {\mathrm e}^{2 x}
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{} y^{\prime \prime }+4 y = \tan \left (2 x \right )
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-x} \ln \left (x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 64 x \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{-x} \sec \left (2 x \right )
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-3 x}
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \frac {1}{1+{\mathrm e}^{-x}}
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
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| \[
{} y^{\prime \prime }+y = \cot \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+y = \cot \left (2 x \right )
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| \[
{} y^{\prime \prime }+y = x \cos \left (x \right )
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| \[
{} y^{\prime \prime }+y = \tan \left (x \right )
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| \[
{} y^{\prime \prime }+y = \tan \left (x \right ) \sec \left (x \right )
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right ) \csc \left (x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 x
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{} y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{-x}
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| \[
{} \left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = \left (x^{2}-1\right )^{2}
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| \[
{} \left (x^{2}+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y = x \left (1+x \right )^{2}
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| \[
{} -y+x y^{\prime }+\left (1-x \right ) y^{\prime \prime } = \left (1-x \right )^{2}
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| \[
{} y-y^{\prime } \left (1+x \right )+x y^{\prime \prime } = x^{2} {\mathrm e}^{2 x}
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{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} x y^{\prime \prime }+3 y^{\prime } = 0
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{} x^{2} y^{\prime \prime }+x y^{\prime }-4 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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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
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| \[
{} y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1} = 0
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
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| \[
{} x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
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| \[
{} y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y = 0
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| \[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+y = 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 }-y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-5 y = x
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }-y = {\mathrm e}^{3 x}
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{} y^{\prime \prime }+9 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }+4 y = x
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{} y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{x}
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{} y^{\prime \prime }+3 y^{\prime }+4 y = \sin \left (x \right )
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{} y^{\prime \prime }+y = {\mathrm e}^{-x}
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| \[
{} y^{\prime \prime }-y = \cos \left (x \right )
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{} y^{\prime \prime } = \tan \left (x \right )
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{} y^{\prime \prime }-2 y^{\prime } = \ln \left (x \right )
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 2 x -1
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{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{-x}
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{} y^{\prime \prime }-y^{\prime }-2 y = \cos \left (x \right )
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{} y^{\prime \prime }+2 y^{\prime }-y = {\mathrm e}^{x} \sin \left (x \right ) x
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{} y^{\prime \prime }+9 y = \sec \left (2 x \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = x \ln \left (x \right )
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = \frac {2}{x}
\]
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