| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 4 \sin \left (x \right )
\]
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{} y^{\prime \prime \prime \prime }-y^{\prime \prime } = 2 \,{\mathrm e}^{x}
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 15 \sin \left (2 x \right )
\]
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 40 \sin \left (2 x \right )
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 2 \,{\mathrm e}^{x}+5 \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 10 \,{\mathrm e}^{x} \sin \left (x \right )
\]
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{} y^{\prime \prime \prime }-2 y^{\prime }-4 y = 50 \,{\mathrm e}^{2 x}+50 \sin \left (x \right )
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 12 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{3 x}
\]
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{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 32 \,{\mathrm e}^{2 x}+16 x^{3}
\]
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{} y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y = 72 \,{\mathrm e}^{3 x}+729 x^{2}
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 9 x^{2} \ln \left (x \right )
\]
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{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+x y^{\prime }-y = x^{2}
\]
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{} y^{\prime \prime \prime }-y^{\prime \prime }+4 y^{\prime }-4 y = 10 \,{\mathrm e}^{-t}
\]
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{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 120 \,{\mathrm e}^{3 t} \operatorname {Heaviside}\left (t -1\right )
\]
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{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 40 t^{2} \operatorname {Heaviside}\left (t -2\right )
\]
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{} y^{\prime \prime \prime \prime }+4 y = \left (2 t^{2}+t +1\right ) \delta \left (t -1\right )
\]
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| \[
{} y^{\prime \prime \prime } = \cos \left (x \right )+1
\]
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| \[
{} \sin \left (x \right )+y^{\prime \prime \prime } = 0
\]
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{} y^{\prime \prime \prime } = \sin \left (x \right )^{3}
\]
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{} y^{\prime \prime \prime } = y+x^{2}
\]
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{} y^{\prime \prime \prime } = x \,{\mathrm e}^{x}+\cos \left (x \right )^{2}+y
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{} y^{\prime }+y^{\prime \prime \prime } = x^{3}+\cos \left (x \right )
\]
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| \[
{} 4 y-2 y^{\prime }+y^{\prime \prime \prime } = {\mathrm e}^{x} \cos \left (x \right )
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{} 2 y-3 y^{\prime }+y^{\prime \prime \prime } = 3 \,{\mathrm e}^{x}
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{} 2 y-3 y^{\prime }+y^{\prime \prime \prime } = x^{2} {\mathrm e}^{x}
\]
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{} -4 y^{\prime }+y^{\prime \prime \prime } = -3 \,{\mathrm e}^{2 x}+x^{2}
\]
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{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = {\mathrm e}^{-x}
\]
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{} 4 y+2 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = \sin \left (2 x \right )
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{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = \left (x -1\right ) x
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}
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{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = \sinh \left (x \right )
\]
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{} -3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 3 x^{2}+\sin \left (x \right )
\]
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{} -3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{-x}+3 x^{2}
\]
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{} 2 a^{2} y-a^{2} y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = \sinh \left (x \right )
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = x^{2}
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = \cosh \left (x \right )
\]
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = x \,{\mathrm e}^{-x}
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = x \left (1-x^{2} {\mathrm e}^{x}\right )
\]
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = \left (-x^{2}+2\right ) {\mathrm e}^{-x}
\]
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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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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = x
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = x^{2} {\mathrm e}^{2 x}
\]
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| \[
{} -a^{3} y+3 a^{2} y^{\prime }-3 a y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{a x}
\]
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| \[
{} -y^{\prime }+\left (2 \cot \left (x \right )+\csc \left (x \right )\right ) y^{\prime \prime }+y^{\prime \prime \prime } = \cot \left (x \right )
\]
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{} \sin \left (x \right ) y-2 \cos \left (x \right ) y^{\prime }-\sin \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime } = \ln \left (x \right )
\]
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{} 18 \,{\mathrm e}^{x}-3 y-11 y^{\prime }-8 y^{\prime \prime }+4 y^{\prime \prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime \prime } = 2
\]
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{} y-x y^{\prime }-y^{\prime \prime }+x y^{\prime \prime \prime } = -x^{2}+1
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| \[
{} 2 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = a
\]
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{} 3 x y+y^{\prime } \left (x^{2}+2\right )+4 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = f \left (x \right )
\]
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{} 4 y^{\prime }+5 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = \ln \left (x \right )
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| \[
{} y+x y^{\prime }+\left (\operatorname {b1} x +\operatorname {a1} \right ) y^{\prime \prime }+x \left (\operatorname {b0} x +\operatorname {a0} \right ) y^{\prime \prime \prime } = f \left (x \right )
\]
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| \[
{} x^{3} y^{\prime \prime \prime } = a
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{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = x \ln \left (x \right )
\]
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{} -2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = x \left (x^{2}+3\right )
\]
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{} 3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = a
\]
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{} -y+2 x y^{\prime }+x^{2} \ln \left (x \right ) y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 2 x^{3}
\]
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| \[
{} 2 x y+2 x^{3} y^{\prime \prime }+x^{4} y^{\prime \prime \prime } = 10 x^{2}+10
\]
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{} x y-x^{2} y^{\prime }+2 x^{3} y^{\prime \prime }+x^{4} y^{\prime \prime \prime } = 1
\]
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{} 10 x^{2} y^{\prime }+8 x^{3} y^{\prime \prime }+x^{2} \left (x^{2}+1\right ) y^{\prime \prime \prime } = -1+3 x^{2}+2 x^{2} \ln \left (x \right )
\]
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{} 4 x^{2} y^{\prime }-4 x^{3} y^{\prime \prime }+4 x^{4} y^{\prime \prime \prime } = 1
\]
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{} \sin \left (x \right )-y \cos \left (x \right )-3 y^{\prime } \sin \left (x \right )+3 \left (\cos \left (x \right )+1\right ) y^{\prime \prime }+\left (x +\sin \left (x \right )\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} y^{\prime \prime \prime \prime } = x \cos \left (x \right )
\]
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{} 4 \,{\mathrm e}^{-x} \cos \left (x \right )+y^{\prime \prime \prime \prime } = 0
\]
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{} y^{\prime \prime \prime \prime } = y+\cos \left (x \right )
\]
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{} y^{\prime \prime \prime \prime } = {\mathrm e}^{x} \cos \left (x \right )+y
\]
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{} y^{\prime \prime \prime \prime } = x^{3}+a^{4} y
\]
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{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = \cos \left (x \right )
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = \cos \left (x \right )
\]
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{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 24 x \sin \left (x \right )
\]
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = 4+{\mathrm e}^{x}
\]
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{} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = \cosh \left (a x \right )
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{} -2 y+5 y^{\prime }-3 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = {\mathrm e}^{3 x}
\]
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{} y^{2}-2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = x^{3}
\]
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| \[
{} 2 y a^{2} b^{2}+2 \left (a^{2}+b^{2}\right ) y^{\prime \prime }+2 y^{\prime \prime \prime \prime } = \cos \left (a x \right )+\cos \left (b x \right )
\]
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{} \left (x +a \right )^{2} y^{\prime \prime \prime \prime } = 1
\]
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{} y^{\prime }+2 y^{\prime \prime \prime }+y^{\left (5\right )} = a x +b \cos \left (x \right )+c \sin \left (x \right )
\]
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{} y^{2}-\left (1-2 x y\right ) y^{\prime }+x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = f \left (x \right )
\]
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| \[
{} {y^{\prime }}^{3} y^{\prime \prime \prime } = 1
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{} y^{\prime \prime } y^{\prime \prime \prime } = 2
\]
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{} 2 x y^{\prime \prime } y^{\prime \prime \prime } = -a^{2}+{y^{\prime \prime }}^{2}
\]
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| \[
{} 1-{y^{\prime \prime }}^{2}+2 x y^{\prime \prime } y^{\prime \prime \prime }+\left (-x^{2}+1\right ) {y^{\prime \prime \prime }}^{2} = 0
\]
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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 }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x}+1
\]
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{} y^{\prime }+y^{\prime \prime \prime } = \sec \left (x \right )
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = \frac {{\mathrm e}^{x}}{1+{\mathrm e}^{-x}}
\]
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| \[
{} y^{\prime \prime \prime \prime } = 5 x
\]
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{} y^{\prime \prime \prime }-y = 5
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = x^{2} {\mathrm e}^{x}
\]
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{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = 3 x^{4}
\]
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{} y^{\prime \prime \prime }-4 y^{\prime \prime } = 5
\]
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| \[
{} y^{\left (5\right )}-4 y^{\prime \prime \prime } = 5
\]
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{} -4 y^{\prime }+y^{\prime \prime \prime } = x
\]
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x^{2}+4 x +8
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y = 2 x^{2}-4 x -1+2 x^{2} {\mathrm e}^{2 x}+5 x \,{\mathrm e}^{2 x}+{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime \prime \prime }-y = \sin \left (2 x \right )
\]
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| \[
{} y^{\prime \prime \prime }+y = \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{x}+{\mathrm e}^{-x}+\sin \left (x \right )
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime } = x +\sin \left (\ln \left (x \right )\right )
\]
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| \[
{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = 3 x^{4}
\]
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