| # | ODE | Mathematica | Maple | Sympy |
| \[
{} \frac {7 y^{\prime \prime }}{5}+y = \operatorname {Heaviside}\left (t \right )
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{} \frac {8 y^{\prime \prime }}{5}+y = \operatorname {Heaviside}\left (t \right )
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{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+3 y = t
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{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+4 y = 0
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{} y^{\prime \prime \prime }+y^{\prime } = 0
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }+4 y^{\prime \prime }-4 y^{\prime }-16 y = 0
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{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+9 y^{\prime \prime } = 0
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{} y^{\prime \prime } = \sin \left (x \right )
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| \[
{} {y^{\prime \prime \prime }}^{2}+x^{2} = 1
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{} y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+p_{1} y^{\prime }+p_{2} y = 0
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| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime } = 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 \prime }+4 y = 0
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{} y^{\prime \prime \prime \prime }-y = 0
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{} 2 y^{\prime \prime }+y^{\prime }-y = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = x^{2}
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{} y^{\prime \prime }-6 y^{\prime }+8 y = {\mathrm e}^{x}+{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = x \,{\mathrm e}^{x}
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{} y-4 y^{\prime }+6 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = {\mathrm e}^{x} \left (1+x \right )
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{} y^{\prime \prime }+4 y = \sin \left (2 x \right ) x
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{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{-\frac {x}{2}} \sin \left (\frac {\sqrt {3}\, x}{2}\right )
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| \[
{} -y+y^{\prime \prime } = \frac {{\mathrm e}^{x}-{\mathrm e}^{-x}}{{\mathrm e}^{x}+{\mathrm e}^{-x}}
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| \[
{} -2 y+y^{\prime \prime } = 4 x^{2} {\mathrm e}^{x^{2}}
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{} y^{\prime \prime }+y = \sin \left (2 x \right ) \sin \left (x \right )
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{} y^{\prime \prime }+9 y = \ln \left (2 \sin \left (\frac {x}{2}\right )\right )
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{} y^{\prime \prime }+4 y = 0
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{} y^{\prime \prime }-4 y = 0
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 0
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{} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0
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{} y^{\prime \prime }-k y = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = 4 x
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{} y^{\prime \prime }-2 y^{\prime } = 6
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{} -2 y+y^{\prime \prime } = \sin \left (x \right )
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{} y^{\prime \prime } = {\mathrm e}^{x}
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{} y^{\prime \prime }-2 y^{\prime } = 4
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{} -y+y^{\prime \prime } = \sin \left (x \right )
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{} y^{\prime \prime }+2 y^{\prime } = 6 \,{\mathrm e}^{x}
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{} -y+y^{\prime \prime } = 0
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+y^{\prime }-2 y = 0
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{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
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{} y^{\prime \prime }+y^{\prime } = 0
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{} y^{\prime \prime }+y = 0
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{} -y+y^{\prime \prime } = 0
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{} y^{\prime \prime }+y^{\prime }-6 y = 0
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{} y+2 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+8 y = 0
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{} 2 y^{\prime \prime }-4 y^{\prime }+8 y = 0
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 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^{\prime } = 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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{} 16 y^{\prime \prime }-8 y^{\prime }+y = 0
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{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+4 y^{\prime }-5 y = 0
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{} 6 y-5 y^{\prime }+y^{\prime \prime } = 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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{} 5 y+4 y^{\prime }+y^{\prime \prime } = 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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{} 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 }+k^{2} y = \sin \left (b x \right )
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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 }-2 y^{\prime }+y = 2 x
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{} y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{-x}
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{} y^{\prime \prime }+4 y = \tan \left (2 x \right )
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{} y+2 y^{\prime }+y^{\prime \prime } = {\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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