| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 2 y^{\prime \prime }+4 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} 6 y^{\prime \prime }+6 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} 12 y^{\prime \prime }+8 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime } = 0
\]
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{} -a^{2} y+12 y^{\prime \prime }+8 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} \left (x +a \right )^{2} y^{\prime \prime \prime \prime } = 1
\]
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| \[
{} -c^{4} y+16 \left (1+a -b \right ) \left (2+a -b \right ) y^{\prime \prime }+32 \left (2+a -b \right ) x y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} -a^{4} x^{3} y-x y^{\prime \prime }+2 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} 6 x y^{\prime \prime }+6 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} -k y-\left (-a b c +x \right ) y^{\prime }+\left (a b +a c +b c +a +b +c +1\right ) x y^{\prime \prime }+\left (3+a +b +c \right ) x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} -4 y-2 x y^{\prime }+4 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} 12 x^{2} y^{\prime \prime }+8 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} a y+12 x^{2} y^{\prime \prime }+8 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} \operatorname {A4} y+\operatorname {A3} x y^{\prime }+\operatorname {A2} \,x^{2} y^{\prime \prime }+\operatorname {A1} \,x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} -b^{4} x^{\frac {2}{a}} y+16 \left (-2 a +1\right ) \left (1-a \right ) a^{2} x^{2} y^{\prime \prime }-32 \left (-2 a +1\right ) a^{2} x^{3} y^{\prime \prime \prime }+16 a^{4} x^{4} y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} y \,{\mathrm e}^{x}+4 \,{\mathrm e}^{x} y^{\prime }+6 \,{\mathrm e}^{x} y^{\prime \prime }+4 \left ({\mathrm e}^{x}+2\right ) y^{\prime \prime \prime }+\left ({\mathrm e}^{x}+2 x \right ) y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} 2 y^{\prime }-2 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\left (5\right )} = 0
\]
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| \[
{} y^{\prime }+2 y^{\prime \prime \prime }+y^{\left (5\right )} = 0
\]
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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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| \[
{} y^{\left (6\right )} = 0
\]
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| \[
{} a y+y^{\left (6\right )} = 0
\]
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| \[
{} y+2 y^{\prime \prime \prime }+y^{\left (6\right )} = 0
\]
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| \[
{} y^{\left (8\right )} = y
\]
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| \[
{} y-2 y^{\prime \prime \prime \prime }+y^{\left (8\right )} = 0
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }-6 y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }-a^{2} y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime } = 0
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| \[
{} 3 y^{\prime \prime \prime }+5 y^{\prime \prime }+y^{\prime }-y = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
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{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0
\]
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-11 y^{\prime \prime }-12 y^{\prime }+36 y = 0
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{} 36 y^{\prime \prime \prime \prime }-37 y^{\prime \prime }+4 y^{\prime }+5 y = 0
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{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+36 y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime \prime }+8 y = 0
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| \[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0
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| \[
{} y^{\prime }+2 y^{\prime \prime \prime }+y^{\left (5\right )} = 0
\]
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| \[
{} 3 y^{\prime \prime \prime }+5 y^{\prime \prime }+y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime \prime }+y = 0
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime }-6 y^{\prime } = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }-5 y = 0
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{} y^{\prime \prime \prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y = 0
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{} y^{\prime \prime \prime }+y^{\prime \prime }-6 y^{\prime }+4 y = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }-y^{\prime }+6 y = 0
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{} z^{\prime \prime \prime }+2 z^{\prime \prime }-4 z^{\prime }-8 z = 0
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{} y^{\prime \prime \prime }-7 y^{\prime \prime }+7 y^{\prime }+15 y = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-12 y = 0
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| \[
{} y^{\prime \prime \prime }-y^{\prime } = 0
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
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{} 3 y^{\prime \prime \prime }+18 y^{\prime \prime }+13 y^{\prime }-19 y = 0
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{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+5 y = 0
\]
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{} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y = 0
\]
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| \[
{} x^{\prime \prime \prime }-x^{\prime \prime }+x^{\prime }-x = 0
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{} x^{\prime \prime \prime \prime }+x = 0
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{} x^{\prime \prime \prime }-3 x^{\prime \prime }-9 x^{\prime }-5 x = 0
\]
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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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| \[
{} y^{\prime \prime \prime \prime } = 5 x
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{} y^{\prime \prime \prime }-y = 5
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{} y^{\prime \prime \prime \prime }-y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = x^{2} {\mathrm e}^{x}
\]
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
\]
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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 }+y^{\prime \prime }-2 y^{\prime } = 0
\]
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+12 y^{\prime \prime }-8 y^{\prime } = 0
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{} y^{\prime \prime \prime }-y^{\prime \prime }+9 y^{\prime }-9 y = 0
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 0
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{} y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0
\]
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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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{} y^{\prime \prime \prime }+y^{\prime \prime } = x^{2}
\]
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| \[
{} \left (2 x -3\right ) y^{\prime \prime \prime }-\left (6 x -7\right ) y^{\prime \prime }+4 x y^{\prime }-4 y = 8
\]
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| \[
{} \left (2 x^{3}-1\right ) y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+6 x y^{\prime } = 0
\]
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{} t^{5} y^{\prime \prime \prime \prime }-t^{3} y^{\prime \prime }+6 y = 0
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 12 x^{2}
\]
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{} x^{2} y^{\prime \prime \prime }-3 x y^{\prime \prime }+3 y^{\prime } = 0
\]
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{} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y = 0
\]
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+20 x y^{\prime }-78 y = 0
\]
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| \[
{} y^{\prime \prime \prime }-2 x y^{\prime \prime }+4 x^{2} y^{\prime }+8 x^{3} y = 0
\]
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| \[
{} x^{4} y^{\prime \prime \prime \prime }-x^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 4 \,{\mathrm e}^{t}
\]
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| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 3 \sin \left (t \right )-5 \cos \left (t \right )
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = g \left (t \right )
\]
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