| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{\prime \prime }+2 x^{\prime }+x = 0
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| \[
{} x^{\prime \prime }+2 h x^{\prime }+k^{2} x = 0
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| \[
{} x^{\prime \prime \prime }+a x^{\prime \prime }+b x^{\prime }+c x = 0
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| \[
{} x^{\prime \prime \prime }+x = 0
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| \[
{} x^{\prime \prime \prime }-x = 0
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| \[
{} x^{\prime \prime \prime }+5 x^{\prime \prime }+9 x^{\prime }+5 x = 0
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| \[
{} x^{\prime \prime \prime \prime }+x^{\prime \prime \prime }-x^{\prime }-x = 0
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| \[
{} x^{\prime \prime \prime \prime }+8 x^{\prime \prime \prime }+23 x^{\prime \prime }+2 x^{\prime }+12 x = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} -y+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{2}
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| \[
{} y^{\prime \prime }+b y^{\prime }+c y = f \left (x \right )
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| \[
{} x^{\prime \prime }-4 x = 0
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| \[
{} y^{\prime \prime }-5 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} x^{\prime \prime } = 0
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+4 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 }+4 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-2 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 }+10 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+16 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
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| \[
{} y^{\prime \prime }-\frac {6 y^{\prime }}{5}+\frac {9 y}{25} = 0
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }-3 y^{\prime }+18 y = 0
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }-3 y = 0
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| \[
{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+18 y^{\prime \prime }-20 y^{\prime }+8 y = 0
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{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime }+16 y = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = \sin \left (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 = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = x^{2}+2 x
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = x^{3}+3
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{} y^{\prime \prime }+y^{\prime }-6 y = 2 x^{3}+5 x^{2}-7 x +2
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{} y^{\prime \prime }+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 }+4 y = \sin \left (x \right )+\sin \left (2 x \right )
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| \[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 2 \cos \left (x \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (x +\frac {\pi }{4}\right )
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2 x^{2}+{\mathrm e}^{x}+2 x \,{\mathrm e}^{x}+4 \,{\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{-x} \sin \left (x \right )
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 3 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \left (x^{2}-1\right ) {\mathrm e}^{2 x}+\left (3 x +4\right ) {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+y^{\prime }+8 y = \left (10 x^{2}+21 x +9\right ) \sin \left (3 x \right )+x \cos \left (3 x \right )
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2 \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 2 x -40 \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 2 \,{\mathrm e}^{x}-10 \sin \left (x \right )
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 3 \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 4 \sin \left (2 x \right )
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 2 x \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime \prime }-y^{\prime } = 3 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{-x}
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| \[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime } = 3 x^{2}+4 \sin \left (x \right )-2 \cos \left (x \right )
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = x^{2}+2 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^{\prime }-2 y = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
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| \[
{} -y+y^{\prime \prime } = {\mathrm e}^{x}
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{} y^{\prime \prime }+y = \tan \left (x \right ) \sec \left (x \right )
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{} y^{\prime \prime }+4 y = \sec \left (2 x \right )
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{} y^{\prime \prime }+y = \csc \left (x \right )
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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 \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = {\mathrm e}^{x}
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| \[
{} y^{\prime }+y^{\prime \prime \prime } = \sec \left (x \right )
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| \[
{} y^{\prime \prime \prime \prime } = 5 x
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{} -y+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime } = \cos \left (2 x \right )
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| \[
{} y^{\prime \prime }+k^{2} y = 0
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| \[
{} y^{\prime \prime }-2 s y^{\prime }-2 y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
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{} 2 y^{\prime \prime }+5 y^{\prime }-12 y = 0
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{} -y+y^{\prime \prime } = 2 x +{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+54 y^{\prime \prime }+108 y^{\prime }+81 y = 0
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{} y^{\left (6\right )}+8 y^{\prime \prime \prime } = a \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 16 x^{3} {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime \prime }-y^{\prime } = a \sin \left (b x \right )
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x}+7 x -2
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| \[
{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 96 \,{\mathrm e}^{-4 x}
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| \[
{} y^{\prime \prime }-2 a y^{\prime }+\left (a^{2}+b^{2}\right ) y = f \left (x \right )
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{2 x}
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{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime \prime }+y^{\prime }+y = \sin \left (3 x \right )
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{} y^{\prime \prime \prime }-5 y^{\prime \prime }+3 y^{\prime }+9 y = {\mathrm e}^{3 x}
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| \[
{} y^{\prime \prime }+y = x \,{\mathrm e}^{x} \cos \left (x \right )
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| \[
{} y^{\prime \prime }+4 y^{\prime }+3 y = {\mathrm e}^{2 x}
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