| # | ODE | Mathematica | Maple | Sympy |
| \[
{} t^{2} y^{\prime \prime }+4 t y^{\prime }-4 y = 0
\]
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| \[
{} t^{2} y^{\prime \prime }+6 t y^{\prime }+6 y = 0
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| \[
{} t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-\frac {1}{4}\right ) y = 0
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| \[
{} t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0
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| \[
{} a y^{\prime \prime }+b y^{\prime }+c y = 0
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| \[
{} t^{2} y^{\prime \prime }+a t y^{\prime }+b y = 0
\]
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| \[
{} 4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (36 t^{2}-1\right ) y = 0
\]
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| \[
{} t y^{\prime \prime }+2 y^{\prime }+16 t y = 0
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| \[
{} y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+b y^{\prime }+c y = 0
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| \[
{} y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }-12 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime } = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 0
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| \[
{} y^{\prime \prime }+8 y^{\prime }+12 y = 0
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| \[
{} y^{\prime \prime }+5 y^{\prime }+y = 0
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| \[
{} 8 y^{\prime \prime }+6 y^{\prime }+y = 0
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| \[
{} 4 y^{\prime \prime }+9 y = 0
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| \[
{} y^{\prime \prime }+16 y = 0
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| \[
{} y^{\prime \prime }+8 y = 0
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| \[
{} y^{\prime \prime }+7 y = 0
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| \[
{} 4 y^{\prime \prime }+21 y^{\prime }+5 y = 0
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| \[
{} 7 y^{\prime \prime }+4 y^{\prime }-3 y = 0
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime } = 0
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| \[
{} 3 y^{\prime \prime }-y^{\prime } = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-12 y = 0
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| \[
{} y^{\prime \prime }-7 y^{\prime }+12 y = 0
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| \[
{} 2 y^{\prime \prime }-7 y^{\prime }-4 y = 0
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| \[
{} y^{\prime \prime }-7 y^{\prime }+10 y = 0
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| \[
{} y^{\prime \prime }+36 y = 0
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| \[
{} y^{\prime \prime }+100 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+20 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-y = 0
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| \[
{} 6 y^{\prime \prime }+5 y^{\prime }+y = 0
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| \[
{} 9 y^{\prime \prime }+6 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+20 y = 0
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| \[
{} 3 t^{2} y^{\prime \prime }-2 t y^{\prime }+2 y = 0
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| \[
{} t^{2} y^{\prime \prime }-t y^{\prime }+y = 0
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| \[
{} a y^{\prime \prime }+2 b y^{\prime }+c y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }-16 y = 0
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| \[
{} y^{\prime \prime }-16 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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| \[
{} {y^{\prime \prime }}^{2}-5 y^{\prime \prime } y^{\prime }+4 y^{2} = 0
\]
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| \[
{} {y^{\prime \prime }}^{2}-2 y^{\prime \prime } y^{\prime }+y^{2} = 0
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| \[
{} y^{\prime \prime }+4 y^{\prime }+3 y = 0
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| \[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = 0
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| \[
{} t y^{\prime \prime }+2 y^{\prime }+t y = 0
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| \[
{} 4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (16 t^{2}-1\right ) y = 0
\]
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| \[
{} 2 y y^{\prime \prime }+y^{2} = {y^{\prime }}^{2}
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| \[
{} 5 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime } = 0
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| \[
{} 3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }-8 x y^{\prime }+8 y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }+17 y = 0
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| \[
{} 9 x^{2} y^{\prime \prime }-9 x y^{\prime }+10 y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }-2 x y^{\prime }+20 y = 0
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| \[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+10 y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
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| \[
{} x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0
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| \[
{} 3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
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| \[
{} 4 y+2 x \left (x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right )^{2} y^{\prime \prime } = 0
\]
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| \[
{} 4 y+2 x \left (x^{2}+1\right ) y^{\prime }+\left (x^{2}+1\right )^{2} y^{\prime \prime } = 0
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| \[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+y \left (x^{2}-1\right ) = 0
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| \[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (4 x^{2}-4\right ) y = 0
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| \[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+y \left (x^{2}-1\right ) = 0
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} 6 x^{2} y^{\prime \prime }+5 x y^{\prime }-y = 0
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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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| \[
{} \left (t +1\right )^{2} y^{\prime \prime }-2 \left (t +1\right ) y^{\prime }+2 y = 0
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| \[
{} t y^{\prime \prime }+2 y^{\prime }+t 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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