| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime \prime \prime }-10 y^{\prime \prime \prime }+38 y^{\prime \prime }-64 y^{\prime }+40 y = 153 \,{\mathrm e}^{-t}
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{} y^{\prime \prime \prime }+4 y^{\prime } = \tan \left (2 t \right )
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{} y^{\prime \prime \prime }+4 y^{\prime } = \sec \left (2 t \right ) \tan \left (2 t \right )
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = \sec \left (2 t \right )^{2}
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = \tan \left (2 t \right )^{2}
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{} y^{\prime \prime \prime }+9 y^{\prime } = \sec \left (3 t \right )
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{} y^{\prime \prime \prime }+y^{\prime } = -\sec \left (t \right ) \tan \left (t \right )
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{} y^{\prime \prime \prime }+4 y^{\prime } = \sec \left (2 t \right )
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{} y^{\prime \prime \prime }-2 y^{\prime \prime } = -\frac {1}{t^{2}}-\frac {2}{t}
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = \frac {{\mathrm e}^{t}}{t}
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }-11 y^{\prime }+30 y = {\mathrm e}^{4 t}
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-10 y^{\prime }-24 y = {\mathrm e}^{-3 t}
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{} y^{\prime \prime \prime }-13 y^{\prime }+12 y = \cos \left (t \right )
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = \cos \left (t \right )
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| \[
{} y^{\left (6\right )}+y^{\prime \prime \prime \prime } = -24
\]
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = \tan \left (t \right )^{2}
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{} y^{\prime \prime \prime }-y^{\prime \prime } = 3 t^{2}
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = \sec \left (t \right )^{2}
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{} y^{\prime \prime \prime }+y^{\prime } = \sec \left (t \right )
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = \cos \left (t \right )
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = t
\]
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{} t^{2} \ln \left (t \right ) y^{\prime \prime \prime }-t y^{\prime \prime }+y^{\prime } = 1
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{} \left (t^{2}+t \right ) y^{\prime \prime \prime }+\left (-t^{2}+2\right ) y^{\prime \prime }-\left (t +2\right ) y^{\prime } = -2-t
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{} 2 t^{3} y^{\prime \prime \prime }+t^{2} y^{\prime \prime }+t y^{\prime }-y = -3 t^{2}
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| \[
{} t y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime } = \frac {45}{8 t^{{7}/{2}}}
\]
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{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-11 x y^{\prime }+16 y = \frac {1}{x^{3}}
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{} x^{3} y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime }+70 x y^{\prime }+80 y = \frac {1}{x^{13}}
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{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-3 x y^{\prime } = -8
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }+5 y = {\mathrm e}^{t}
\]
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{} y^{\prime \prime \prime }-12 y^{\prime }-16 y = {\mathrm e}^{4 t}-{\mathrm e}^{-2 t}
\]
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{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+18 y^{\prime \prime }+30 y^{\prime }+25 y = {\mathrm e}^{-t} \cos \left (2 t \right )+{\mathrm e}^{-2 t} \sin \left (t \right )
\]
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+14 y^{\prime \prime }+20 y^{\prime }+25 y = t^{2}
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| \[
{} x y^{\prime \prime \prime } = 2
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{} y^{\prime \prime \prime \prime } = x
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{} y^{\prime \prime \prime } = x +\cos \left (x \right )
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{} y^{\prime \prime \prime }+y = x
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{} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 1
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{} y^{\prime }+y^{\prime \prime \prime } = 2
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{} y^{\prime \prime \prime }+y^{\prime \prime } = 3
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{} y^{\prime \prime \prime \prime }-y = 1
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{} y^{\prime \prime \prime \prime }-y^{\prime } = 2
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{} y^{\prime \prime \prime \prime }-y^{\prime \prime } = 3
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{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime } = 4
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+4 y^{\prime \prime } = 1
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{4 x}
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{-x}
\]
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = x \,{\mathrm e}^{-x}
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \sin \left (2 x \right )
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \cos \left (x \right )
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \sin \left (2 x \right ) x
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{} y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = a \sin \left (n x +\alpha \right )
\]
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{} y^{\prime \prime \prime \prime }-2 n^{2} y^{\prime \prime }+n^{4} y = \cos \left (n x +\alpha \right )
\]
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = \sin \left (x \right )
\]
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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}
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{} y-4 y^{\prime }+6 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = x \,{\mathrm e}^{x}
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{} y^{\prime \prime \prime }+y^{\prime \prime } = 1
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{} 5 y^{\prime \prime \prime }-7 y^{\prime \prime } = 3
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime } = -6
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{} 3 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 2
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = 1
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = x^{2}+x
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = x^{2}+x
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{} y^{\prime \prime \prime }-y = \sin \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^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = \cos \left (2 x \right ) {\mathrm e}^{x}
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{} y^{\prime \prime \prime }-y^{\prime \prime } = {\mathrm e}^{x}+1
\]
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{} y^{\prime \prime \prime }+4 y^{\prime } = {\mathrm e}^{2 x}+\sin \left (2 x \right )
\]
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = x \,{\mathrm e}^{x}+\frac {\cos \left (x \right )}{2}
\]
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime } = {\mathrm e}^{x}+3 \sin \left (2 x \right )+1
\]
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}+2 x
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{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 4 x +3 \sin \left (x \right )+\cos \left (x \right )
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{} -4 y^{\prime }+y^{\prime \prime \prime } = x \,{\mathrm e}^{2 x}+\sin \left (x \right )+x^{2}
\]
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{} y^{\left (5\right )}-y^{\prime \prime \prime \prime } = x \,{\mathrm e}^{x}-1
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{} y^{\left (5\right )}-y^{\prime \prime \prime } = x +2 \,{\mathrm e}^{-x}
\]
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{} y^{\prime \prime \prime }-y^{\prime } = -2 x
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{} y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x}
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{} y^{\prime \prime \prime }-y = 2 x
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{} y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x}
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{} y^{\prime \prime \prime }+y^{\prime \prime } = \frac {x -1}{x^{3}}
\]
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{} y^{\prime \prime \prime \prime }-6 y = t \,{\mathrm e}^{-t}
\]
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{} y^{\prime \prime \prime \prime }-y = \operatorname {Heaviside}\left (t -1\right )-\operatorname {Heaviside}\left (t -2\right )
\]
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{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 1-\operatorname {Heaviside}\left (t -\pi \right )
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{} y^{\prime \prime \prime \prime }-y = \delta \left (t -1\right )
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{} y^{\prime \prime \prime \prime }-16 y = g \left (t \right )
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime }+16 y = g \left (t \right )
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{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+3 y = t
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{} t y^{\prime \prime \prime }+\sin \left (t \right ) y^{\prime \prime }+8 y = \cos \left (t \right )
\]
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{} y^{\prime \prime \prime }+t y^{\prime \prime }+t^{2} y^{\prime }+t^{2} y = \ln \left (t \right )
\]
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{} t y^{\prime \prime \prime }+\sin \left (t \right ) y^{\prime \prime }+4 y = \cos \left (t \right )
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{} y^{\prime \prime \prime }+t y^{\prime \prime }+5 t^{2} y^{\prime }+2 t^{3} y = \ln \left (t \right )
\]
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| \[
{} {y^{\prime \prime \prime }}^{2}+x^{2} = 1
\]
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{} -2 x y+y^{\prime } \left (x^{2}+2\right )-2 x y^{\prime \prime }+\left (x^{2}+2\right ) y^{\prime \prime \prime } = x^{4}+12
\]
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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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| \[
{} -2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = x^{3}+3 x
\]
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{} y^{\prime \prime \prime \prime } = \sin \left (x \right )+24
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 10+42 \,{\mathrm e}^{3 x}
\]
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{} y^{\prime \prime \prime }-y^{\prime } = 1
\]
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{} y^{\prime \prime \prime }-2 y^{\prime }+y = 2 x^{3}-3 x^{2}+4 x +5
\]
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