| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\left (5\right )}+8 y^{\prime \prime \prime \prime } = 0
\]
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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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{} y^{\prime \prime }-7 y^{\prime }+10 y = 0
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{} y^{\prime \prime }-y^{\prime }-2 y = 0
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{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
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{} y^{\prime \prime }+7 y^{\prime }+10 y = 0
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{} 6 y^{\prime \prime }+5 y^{\prime }-4 y = 0
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{} y+2 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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{} y^{\prime \prime }-10 y^{\prime }+34 y = 0
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{} 2 y^{\prime \prime }-5 y^{\prime }+2 y = 0
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{} 15 y^{\prime \prime }-11 y^{\prime }+2 y = 0
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{} 20 y^{\prime \prime }+y^{\prime }-y = 0
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{} 12 y^{\prime \prime }+8 y^{\prime }+y = 0
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{} 2 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime } = 0
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{} 9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime } = 0
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{} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime } = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-8 y = -t
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| \[
{} y^{\prime \prime }+5 y^{\prime } = 5 t^{2}
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{} y^{\prime \prime }-4 y^{\prime } = -3 \sin \left (t \right )
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (2 t \right )
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{} y^{\prime \prime }-9 y = \frac {1}{1+{\mathrm e}^{3 t}}
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{} y^{\prime \prime }-2 y^{\prime } = \frac {1}{1+{\mathrm e}^{2 t}}
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = -4 \,{\mathrm e}^{-2 t}
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{} y^{\prime \prime }-6 y^{\prime }+13 y = 3 \,{\mathrm e}^{-2 t}
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{} y^{\prime \prime }+9 y^{\prime }+20 y = -2 t \,{\mathrm e}^{t}
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{} y^{\prime \prime }+7 y^{\prime }+12 y = 3 t^{2} {\mathrm e}^{-4 t}
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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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{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
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{} y^{\prime \prime }+10 y^{\prime }+16 y = 0
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{} y^{\prime \prime }+16 y = 0
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{} y^{\prime \prime }+25 y = 0
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{} y^{\prime \prime }-4 y = t
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{} y^{\prime \prime }+3 y^{\prime }-4 y = {\mathrm e}^{t}
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{} y^{\prime \prime }+9 y = \sin \left (3 t \right )
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{} y^{\prime \prime }+y = \cos \left (t \right )
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{} y^{\prime \prime }+4 y = \tan \left (2 t \right )
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{} y^{\prime \prime }+y = \csc \left (t \right )
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{} y^{\prime \prime }-8 y^{\prime }+16 y = \frac {{\mathrm e}^{4 t}}{t^{3}}
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{} y^{\prime \prime }-8 y^{\prime }+16 y = \frac {{\mathrm e}^{4 t}}{t^{3}}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{t} \ln \left (t \right )
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{t} \ln \left (t \right )
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{} y^{\prime \prime }+3 y^{\prime }-4 y = 0
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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{} 4 x^{\prime \prime }+9 x = 0
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{} 9 x^{\prime \prime }+4 x = 0
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{} x^{\prime \prime }+64 x = 0
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{} x^{\prime \prime }+100 x = 0
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{} x^{\prime \prime }+x = 0
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{} x^{\prime \prime }+4 x = 0
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{} x^{\prime \prime }+16 x = 0
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{} x^{\prime \prime }+256 x = 0
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{} x^{\prime \prime }+9 x = 0
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{} 10 x^{\prime \prime }+\frac {x}{10} = 0
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{} x^{\prime \prime }+4 x^{\prime }+3 x = 0
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{} \frac {x^{\prime \prime }}{32}+2 x^{\prime }+x = 0
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{} \frac {x^{\prime \prime }}{4}+2 x^{\prime }+x = 0
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{} 4 x^{\prime \prime }+2 x^{\prime }+8 x = 0
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{} x^{\prime \prime }+4 x^{\prime }+13 x = 0
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{} x^{\prime \prime }+4 x^{\prime }+20 x = 0
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| \[
{} x^{\prime \prime }+x = \left \{\begin {array}{cc} 1 & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right .
\]
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| \[
{} x^{\prime \prime }+x = \left \{\begin {array}{cc} \cos \left (t \right ) & 0\le t <\pi \\ 0 & \pi \le t \end {array}\right .
\]
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