| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime } = x
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = x
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
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{} y^{\prime \prime }-2 y^{\prime }+y = x
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{} y^{\prime \prime }+y = \cos \left (x \right )
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{} y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-4 y = x
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{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = \cos \left (x \right )
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x}
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{} y^{\prime \prime \prime \prime }-y = x^{4}
\]
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| \[
{} e y^{\prime \prime } = \frac {P \left (\frac {L}{2}-x \right )}{2}
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| \[
{} e y^{\prime \prime } = \frac {w \left (\frac {L^{2}}{4}-x^{2}\right )}{2}
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| \[
{} e y^{\prime \prime } = -\frac {\left (w L +P \right ) x}{2}-\frac {w \,x^{2}}{2}
\]
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{} e y^{\prime \prime } = -P \left (L -x \right )
\]
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{} e y^{\prime \prime } = -P L +\left (w L +P \right ) x -\frac {w \left (L^{2}+x^{2}\right )}{2}
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{} e y^{\prime \prime } = P \left (a -y\right )
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{} y^{\prime \prime } = \cos \left (x \right )
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{} y^{\prime \prime } = -a^{2} y
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| \[
{} x = y^{\prime \prime }+y^{\prime }
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| \[
{} y^{\prime \prime }-k^{2} y = 0
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{} y^{\prime \prime }+3 y^{\prime }-54 y = 0
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{} y^{\prime \prime }-m^{2} y = 0
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{} 2 y^{\prime \prime }+5 y^{\prime }-12 y = 0
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{} 9 y^{\prime \prime }+18 y^{\prime }-16 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 \prime }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 y^{\prime }-4 y = 0
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| \[
{} y^{\prime \prime }+8 y^{\prime }+25 y = 0
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{} y^{\prime \prime \prime \prime }-m^{2} y = 0
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{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+8 y^{\prime \prime }-8 y^{\prime }+4 y = 0
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{} 6 y-5 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{4 x}
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| \[
{} -y+y^{\prime \prime } = 5 x +2
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 2 \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-y^{\prime \prime }-8 y^{\prime }+12 y = X \left (x \right )
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| \[
{} y^{\prime \prime \prime }+y = 3+{\mathrm e}^{-x}+5 \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-y = \left ({\mathrm e}^{x}+1\right )^{2}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 3 \,{\mathrm e}^{\frac {5 x}{2}}
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x^{2}
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{} y^{\prime \prime \prime }+8 y = x^{4}+2 x +1
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{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = \cos \left (2 x \right )
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{} y^{\prime \prime }+a^{2} y = \cos \left (a x \right )
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{} y^{\prime \prime }-4 y = 2 \sin \left (\frac {x}{2}\right )
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{} y^{\prime \prime \prime }+y = \sin \left (3 x \right )-\cos \left (\frac {x}{2}\right )^{2}
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{} y^{\prime \prime \prime \prime }+y = x \,{\mathrm e}^{2 x}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{2 x} \sin \left (x \right )
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{} y^{\prime \prime }+2 y = x^{2} {\mathrm e}^{3 x}+\cos \left (2 x \right ) {\mathrm e}^{x}
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{} y^{\prime \prime }+4 y = x \sin \left (x \right )
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{} -y+y^{\prime \prime } = x^{2} \cos \left (x \right )
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{} y^{\prime \prime \prime \prime }+4 y = 0
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{} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y = 0
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{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{2 x}+x^{2}+x
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{} y^{\prime \prime }+4 y = \sin \left (3 x \right )+{\mathrm e}^{x}+x^{2}
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = x +{\mathrm e}^{m x}
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{} -a^{2} y+y^{\prime \prime } = {\mathrm e}^{a x}+{\mathrm e}^{n x}
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }-6 y^{\prime }+8 y = x
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime } = x^{2} \left (b x +a \right )
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{} y^{\prime \prime \prime }-13 y^{\prime }+12 y = x
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{} y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = \cos \left (m x \right )
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{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = x^{2} \cos \left (x \right )
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{} y^{\prime \prime }+a^{2} y = \sec \left (a x \right )
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{} y^{\prime \prime }-2 y^{\prime }+y = x^{2} {\mathrm e}^{3 x}
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{} y^{\prime \prime }+n^{2} y = x^{4} {\mathrm e}^{x}
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{} y^{\prime \prime \prime \prime }-a^{4} y = x^{4}
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x
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{} y^{\prime \prime \prime \prime }-y = {\mathrm e}^{x} \cos \left (x \right )
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{} y^{\prime \prime }+y^{\prime }+y = \sin \left (2 x \right )
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{} y^{\prime \prime \prime }-7 y^{\prime }-6 y = {\mathrm e}^{2 x} \left (1+x \right )
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{} y^{\prime \prime }-2 y^{\prime }+4 y = {\mathrm e}^{x} \cos \left (x \right )
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-x}
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }+4 y = x^{2} {\mathrm e}^{x}
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = x \,{\mathrm e}^{x}+{\mathrm e}^{x}
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{} -y+y^{\prime \prime } = x \sin \left (x \right )+\left (x^{2}+1\right ) {\mathrm e}^{x}
\]
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{} y^{\prime \prime }-4 y^{\prime }+3 y = \cos \left (2 x \right ) {\mathrm e}^{x}+\cos \left (3 x \right )
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = {\mathrm e}^{x}+\cos \left (x \right )
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{} 20 y-9 y^{\prime }+y^{\prime \prime } = 20 x
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = {\mathrm e}^{3 x}
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{} y^{\prime \prime \prime }+y = {\mathrm e}^{2 x} \sin \left (x \right )+{\mathrm e}^{\frac {x}{2}} \sin \left (\frac {\sqrt {3}\, x}{2}\right )
\]
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| \[
{} y^{\prime \prime \prime } = x \,{\mathrm e}^{x}
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{} y^{\prime \prime } = x^{2} \sin \left (x \right )
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{} y^{\prime \prime }+a^{2} y = 0
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{} a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y^{\left (5\right )}-m^{2} y^{\prime \prime \prime } = {\mathrm e}^{a x}
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{} y^{\prime \prime \prime \prime }-a^{2} y^{\prime \prime } = 0
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{} y^{\prime \prime } = \frac {a}{x}
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{} y^{\prime \prime \prime } = \sin \left (x \right )^{2}
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{} y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}
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{} a y^{\prime \prime } = y^{\prime }
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{} y^{\prime \prime \prime } = f \left (x \right )
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{} y^{\prime \prime }-n^{2} y = 0
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{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} 2 x^{\prime \prime }+5 x^{\prime }-12 x = 0
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{} y^{\prime \prime }+3 y^{\prime }-54 y = 0
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{} 9 x^{\prime \prime }+18 x^{\prime }-16 x = 0
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{} y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+3 y = 0
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{} y+2 y^{\prime }+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 }-2 y^{\prime \prime }+y = 0
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{} y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-5 y = 0
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{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }+2 y = 0
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{} y^{\prime \prime \prime \prime }-y = 0
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