| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0
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{} y^{\prime \prime \prime }+2 y^{\prime \prime }-5 y^{\prime }-6 y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
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{} y^{\prime \prime \prime }+4 y^{\prime } = 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 }-y^{\prime \prime \prime }-9 y^{\prime \prime }-11 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 }-y = 0
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| \[
{} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime \prime } = 2 \left (y^{\prime \prime }-1\right ) \cot \left (x \right )
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = 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 }+y^{\prime \prime }-y^{\prime }-y = 0
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| \[
{} y^{\prime \prime \prime }+8 y = 0
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| \[
{} y^{\prime \prime \prime }-8 y = 0
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| \[
{} y^{\prime \prime \prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0
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| \[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime }+16 y = 0
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| \[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = 0
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{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+5 y^{\prime \prime }+5 y^{\prime }-6 y = 0
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{} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+9 y^{\prime \prime \prime } = 0
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| \[
{} y^{\left (6\right )}-64 y = 0
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| \[
{} y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime } = y
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| \[
{} a y+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime } = x y
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| \[
{} y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime } = y^{\prime }
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| \[
{} 4 y-2 y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} 2 y-3 y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime }-7 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime \prime } = a^{2} y
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| \[
{} y+2 x y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} a y+2 a x y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} f^{\prime }\left (x \right ) y+2 f \left (x \right ) y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} y+y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} -3 y+y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 0
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| \[
{} 4 y+4 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} -15 y-7 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} -3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} 10 y+3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} 2 a^{2} y-a^{2} y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 0
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| \[
{} -4 y+6 y^{\prime }-4 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = 0
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| \[
{} -a^{3} y+3 a^{2} y^{\prime }-3 a y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime } = a y^{\prime \prime }
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| \[
{} \operatorname {a3} y+\operatorname {a2} y^{\prime }+\operatorname {a1} y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} -8 a x y-2 \left (-4 x^{2}-2 a +1\right ) y^{\prime }-6 x y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} a^{3} x^{3} y+3 a^{2} x^{2} y^{\prime }+3 a x y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} -2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} 2 y \left (2 f \left (x \right ) g \left (x \right )+g^{\prime }\left (x \right )\right )+\left (4 g \left (x \right )+f^{\prime }\left (x \right )+2 {f^{\prime }\left (x \right )}^{2}\right ) y^{\prime }+3 f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
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{} f \left (x \right ) y+y^{\prime }+f \left (x \right ) y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} 4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0
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{} -3 y-11 y^{\prime }-8 y^{\prime \prime }+4 y^{\prime \prime \prime } = 0
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{} x y+3 y^{\prime }+x y^{\prime \prime \prime } = 0
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| \[
{} -y+x y^{\prime }-y^{\prime \prime }+x y^{\prime \prime \prime } = 0
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| \[
{} y-x y^{\prime }-y^{\prime \prime }+x y^{\prime \prime \prime } = 0
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{} -x^{2} y+3 y^{\prime \prime }+x y^{\prime \prime \prime } = 0
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| \[
{} 2 y+4 x y^{\prime }-\left (-x^{2}+3\right ) y^{\prime \prime }+x y^{\prime \prime \prime } = 0
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| \[
{} -2 y^{\prime }-\left (x +4\right ) y^{\prime \prime }+\left (1-2 x \right ) y^{\prime \prime \prime } = 0
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| \[
{} a \,x^{2} y-6 y^{\prime }+x^{2} y^{\prime \prime \prime } = 0
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{} 6 y^{\prime }+6 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
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| \[
{} a \,x^{2} y+6 y^{\prime }+6 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
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| \[
{} 6 n y^{\prime }-2 \left (n +1\right ) x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
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| \[
{} 2 x^{3} y+\left (-2 x^{3}+6\right ) y^{\prime }+x \left (-x^{2}+6\right ) y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
\]
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{} 10 y^{\prime }+8 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime \prime } = 0
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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 } = 0
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| \[
{} -2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+\left (x^{2}-2 x +2\right ) y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime }+\left (x +2\right ) y^{\prime \prime }+\left (x +2\right )^{2} y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime }+8 x y^{\prime \prime }+4 x^{2} y^{\prime \prime \prime } = 0
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{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = 0
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| \[
{} -2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
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{} -8 y+3 x y^{\prime }+x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
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{} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+x y^{\prime } = 0
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{} 2 y+2 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
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{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
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{} 2 y-2 x y^{\prime }+3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
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| \[
{} -8 y+7 x y^{\prime }-3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
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{} \left (-a^{2}+1\right ) x y^{\prime }+3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
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| \[
{} 8 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
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| \[
{} -2 \left (x^{2}+4\right ) y+x \left (x^{2}+8\right ) y^{\prime }-4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} -\left (-a \,x^{3}+12\right ) y+6 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} 6 y+18 x y^{\prime }+9 x^{2} y^{\prime \prime }+\left (x^{3}+1\right ) y^{\prime \prime \prime } = 0
\]
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{} -12 y+3 \left (2 x^{2}+1\right ) y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime \prime \prime } = 0
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{} -4 y-14 x y^{\prime }+\left (-8 x^{2}+3\right ) y^{\prime \prime }+x \left (-x^{2}+1\right ) y^{\prime \prime \prime } = 0
\]
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{} \left (-x^{3}+3 x^{2}-6 x +6\right ) y^{\prime \prime }+x \left (x^{2}-2 x +2\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} -8 y+3 y^{\prime } \left (1+x \right )+\left (1+x \right )^{2} y^{\prime \prime }+\left (1+x \right )^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} -6 y+6 y^{\prime } \left (1+x \right )-3 x \left (x +2\right ) y^{\prime \prime }+x^{2} \left (3+y\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} -y+x y^{\prime }+4 x^{3} y^{\prime \prime \prime } = 0
\]
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{} 2 y+\left (1-2 x \right ) y^{\prime }+\left (1-2 x \right )^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} -4 \left (3 x +1\right ) y+2 x \left (5 x +2\right ) y^{\prime }-2 x^{2} \left (2 x +1\right ) y^{\prime \prime }+x^{3} \left (1+x \right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} -4 \left (3 x^{2}+1\right ) y+2 x \left (5 x^{2}+2\right ) y^{\prime }-2 x^{2} \left (2 x^{2}+1\right ) y^{\prime \prime }+x^{3} \left (x^{2}+1\right ) y^{\prime \prime \prime } = 0
\]
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