| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{\prime \prime }-x^{\prime } = 0
\]
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| \[
{} x^{\prime \prime }+\frac {2 x^{\prime }}{5}+2 x = 1-\operatorname {Heaviside}\left (t -5\right )
\]
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| \[
{} x^{\prime \prime }+9 x = \sin \left (3 t \right )
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| \[
{} x^{\prime \prime }-2 x = 1
\]
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| \[
{} x^{\prime \prime }+4 x = \cos \left (2 t \right ) \operatorname {Heaviside}\left (2 \pi -t \right )
\]
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| \[
{} x^{\prime \prime }+\pi ^{2} x = \pi ^{2} \operatorname {Heaviside}\left (1-t \right )
\]
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| \[
{} x^{\prime \prime }-4 x = 1-\operatorname {Heaviside}\left (t -1\right )
\]
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| \[
{} x^{\prime \prime }+3 x^{\prime }+2 x = {\mathrm e}^{-4 t}
\]
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| \[
{} x^{\prime \prime }-x = \delta \left (t -5\right )
\]
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| \[
{} x^{\prime \prime }+x = \delta \left (t -2\right )
\]
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| \[
{} x^{\prime \prime }+4 x = \delta \left (t -2\right )-\delta \left (t -5\right )
\]
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| \[
{} x^{\prime \prime }+x = 3 \delta \left (t -2 \pi \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = \delta \left (t -1\right )
\]
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| \[
{} x^{\prime \prime }+4 x = \frac {\operatorname {Heaviside}\left (t -5\right ) \left (t -5\right )}{5}+\left (2-\frac {t}{5}\right ) \operatorname {Heaviside}\left (t -10\right )
\]
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| \[
{} 12 y-7 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 4 x^{2}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-8 y = 0
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| \[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-4 y^{\prime }+8 y = 0
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| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = -8 \sin \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-12 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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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 4 x^{2}
\]
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 2-12 x +6 \,{\mathrm e}^{x}
\]
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+5 y = 0
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| \[
{} 3 y^{\prime \prime }-14 y^{\prime }-5 y = 0
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| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0
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| \[
{} y^{\prime \prime }-8 y^{\prime }+16 y = 0
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+25 y = 0
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| \[
{} y^{\prime \prime }+9 y = 0
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| \[
{} 4 y^{\prime \prime }+y = 0
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{} y^{\prime \prime \prime }-5 y^{\prime \prime }+7 y^{\prime }-3 y = 0
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{} 4 y^{\prime \prime \prime }+4 y^{\prime \prime }-7 y^{\prime }+2 y = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
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| \[
{} y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0
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{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0
\]
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| \[
{} y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }+2 y = 0
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{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }+12 y = 0
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| \[
{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+15 y^{\prime \prime }+20 y^{\prime }+12 y = 0
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| \[
{} y^{\prime \prime \prime \prime }+y = 0
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| \[
{} y^{\left (5\right )} = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-12 y = 0
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| \[
{} y^{\prime \prime }+7 y^{\prime }+10 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+8 y = 0
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| \[
{} 3 y^{\prime \prime }+4 y^{\prime }-4 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} 9 y^{\prime \prime }-6 y^{\prime }+y = 0
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{} y^{\prime \prime }-4 y^{\prime }+29 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+58 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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| \[
{} 9 y^{\prime \prime }+6 y^{\prime }+5 y = 0
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{} 4 y^{\prime \prime }+4 y^{\prime }+37 y = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 0
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{} y^{\prime \prime \prime }-5 y^{\prime \prime }+9 y^{\prime }-5 y = 0
\]
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+6 y^{\prime \prime }+2 y^{\prime }+5 y = 0
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{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+8 y = 4 x^{2}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-8 y = 4 \,{\mathrm e}^{2 x}-21 \,{\mathrm e}^{-3 x}
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 6 \sin \left (2 x \right )+7 \cos \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 10 \sin \left (4 x \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+4 y = \cos \left (4 x \right )
\]
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| \[
{} -4 y-3 y^{\prime }+y^{\prime \prime } = 16 x -12 \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }+6 y^{\prime }+5 y = 2 \,{\mathrm e}^{x}+10 \,{\mathrm e}^{5 x}
\]
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{} y^{\prime \prime }+2 y^{\prime }+10 y = 5 x \,{\mathrm e}^{-2 x}
\]
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{} y^{\prime \prime \prime }+4 y^{\prime \prime }+y^{\prime }-6 y = -18 x^{2}+1
\]
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{} y^{\prime \prime \prime }+2 y^{\prime \prime }-3 y^{\prime }-10 y = 8 x \,{\mathrm e}^{-2 x}
\]
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }+3 y^{\prime }-5 y = 5 \sin \left (2 x \right )+10 x^{2}+3 x +7
\]
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| \[
{} 4 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+3 y = 3 x^{3}-8 x
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{} y^{\prime \prime }+y^{\prime }-6 y = 10 \,{\mathrm e}^{2 x}-18 \,{\mathrm e}^{3 x}-6 x -11
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 6 \,{\mathrm e}^{-2 x}+3 \,{\mathrm e}^{x}-4 x^{2}
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 4 \,{\mathrm e}^{x}-18 \,{\mathrm e}^{-x}
\]
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| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 9 \,{\mathrm e}^{2 x}-8 \,{\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime }+y^{\prime \prime \prime } = 2 x^{2}+4 \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 3 \,{\mathrm e}^{-x}+6 \,{\mathrm e}^{2 x}-6 x
\]
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = x \,{\mathrm e}^{x}-4 \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{4 x}
\]
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 3 x^{2} {\mathrm e}^{x}-7 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+y = x \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }+4 y = 12 x^{2}-16 x \cos \left (2 x \right )
\]
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| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-3 y^{\prime \prime } = 18 x^{2}+16 x \,{\mathrm e}^{x}+4 \,{\mathrm e}^{3 x}-9
\]
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