| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = x^{3}
\]
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{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = {\mathrm e}^{-x^{2}}
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = \tan \left (x \right )
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{} y^{\prime \prime \prime \prime }-81 y = \sinh \left (x \right )
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{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 12 x \sin \left (x^{2}\right )
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{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
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{} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime } = 8
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{} y^{\prime \prime \prime \prime }-16 y = 0
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{} y^{\prime \prime \prime }+8 y = {\mathrm e}^{-2 x}
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{} y^{\left (6\right )}-64 y = {\mathrm e}^{-2 x}
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{} y^{\prime \prime \prime }-27 y = {\mathrm e}^{-3 t}
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{} y^{\prime \prime \prime }+9 y^{\prime } = \delta \left (t -1\right )
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{} y^{\prime \prime \prime \prime }-16 y = \delta \left (t \right )
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+5 y^{\prime }+y = {\mathrm e}^{x}
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{} y^{\prime \prime \prime }-4 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime } = 0
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{} -4 y^{\prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }+\frac {25 y^{\prime \prime }}{2}-5 y^{\prime }+\frac {629 y}{16} = 0
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{} y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime } = 0
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{} 8 y^{\prime \prime \prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime \prime \prime }+16 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
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{} 3 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+2 y = 0
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{} 6 y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+y = 0
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{} y^{\prime \prime \prime }-5 y^{\prime }+2 y = 0
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{} 5 y^{\prime \prime \prime }-15 y^{\prime }+11 y = 0
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }-9 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime \prime }-16 y = 0
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }-y^{\prime \prime }+54 y^{\prime }-72 y = 0
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{} y^{\prime \prime \prime \prime }+7 y^{\prime \prime \prime }+6 y^{\prime \prime }-32 y^{\prime }-32 y = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }+8 y = 0
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{} y^{\left (5\right )}+4 y^{\prime \prime \prime \prime } = 0
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{} y^{\left (5\right )}+4 y^{\prime \prime \prime } = 0
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{} y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime } = 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^{\left (6\right )}+3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }+y = 0
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{} y^{\left (6\right )}+12 y^{\prime \prime \prime \prime }+48 y^{\prime \prime }+64 y = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }-y = 0
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{} y^{\prime \prime \prime \prime }+16 y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
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{} 24 y^{\prime \prime \prime }-26 y^{\prime \prime }+9 y^{\prime }-y = 0
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{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
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{} y^{\prime \prime \prime \prime }-16 y = 0
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{} 8 y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+66 y^{\prime \prime \prime }-41 y^{\prime \prime }-37 y^{\prime } = 0
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{} 2 y^{\left (5\right )}+7 y^{\prime \prime \prime \prime }+17 y^{\prime \prime \prime }+17 y^{\prime \prime }+5 y^{\prime } = 0
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{} y^{\left (5\right )}+8 y^{\prime \prime \prime \prime } = 0
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{} y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y = 0
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{} y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y = 0
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{} y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+60 y^{\prime \prime }+124 y^{\prime }+75 y = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+6 y = 0
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{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+30 y^{\prime \prime }-56 y^{\prime }+49 y = 0
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| \[
{} \frac {31 y^{\prime \prime \prime }}{100}+\frac {56 y^{\prime \prime }}{5}-\frac {49 y^{\prime }}{5}+\frac {53 y}{10} = 0
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{} y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{t}
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{} y^{\prime \prime \prime \prime }-16 y = 1
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{} y^{\left (5\right )}-y^{\prime \prime \prime \prime } = 1
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{} y^{\prime \prime \prime \prime }+9 y^{\prime \prime } = 1
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{} y^{\prime \prime \prime \prime }+9 y^{\prime \prime } = 9 \,{\mathrm e}^{3 t}
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{} y^{\prime \prime \prime }+10 y^{\prime \prime }+34 y^{\prime }+40 y = t \,{\mathrm e}^{-4 t}+2 \,{\mathrm e}^{-3 t} \cos \left (t \right )
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{} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 2 \,{\mathrm e}^{-3 t}-t \,{\mathrm e}^{-t}
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-24 y^{\prime }+36 y = 108 t
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{} y^{\prime \prime \prime }+6 y^{\prime \prime }-14 y^{\prime }-104 y = -111 \,{\mathrm e}^{t}
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{} 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 }+22 x^{2} y^{\prime \prime }+124 x y^{\prime }+140 y = 0
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{} x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }-46 x y^{\prime }+100 y = 0
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{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 0
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{} x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0
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{} x^{3} y^{\prime \prime \prime }+2 x y^{\prime }-2 y = 0
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{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-2 x y^{\prime }-2 y = 0
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{} x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0
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| \[
{} x^{3} y^{\prime \prime \prime \prime }+6 x^{2} y^{\prime \prime \prime }+7 x y^{\prime \prime }+y^{\prime } = 0
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