| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 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^{\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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{} 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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{} y^{\prime \prime \prime \prime } = 0
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| \[
{} a y+y^{\prime \prime \prime \prime } = 0
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{} y+y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = 0
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{} -8 y-2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} -4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0
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{} 27 y-12 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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| \[
{} y a^{2} b^{2}+\left (a^{2}+b^{2}\right ) y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} -2 y+5 y^{\prime }-3 y^{\prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} -y-2 y^{\prime }+2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 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 }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+4 y = 0
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{} -y^{\prime }+y^{\prime \prime }-3 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y-4 y^{\prime }+6 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} 16 y-16 y^{\prime }+12 y^{\prime \prime }-4 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} -3 y^{\prime }+11 y^{\prime \prime }-12 y^{\prime \prime \prime }+4 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^{\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 \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 }+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 \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y = 0
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| \[
{} a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime }
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