| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x y^{\prime \prime } = y^{\prime }
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = y y^{\prime }
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| \[
{} y^{\prime \prime } = \left (x +y^{\prime }\right )^{2}
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| \[
{} y^{\prime \prime } = 2 {y^{\prime }}^{3} y
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| \[
{} y^{\prime \prime } = 2 y y^{\prime }
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| \[
{} y y^{\prime \prime } = 3 {y^{\prime }}^{2}
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| \[
{} r y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }-9 y = 0
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| \[
{} y^{\prime \prime }+4 y = 0
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| \[
{} y^{\prime \prime }+25 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime } = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime } = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-10 y^{\prime }+25 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }-15 y = 0
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| \[
{} y^{\prime \prime }+5 y^{\prime } = 0
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime } = 0
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| \[
{} 2 y^{\prime \prime }-y^{\prime }-y = 0
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| \[
{} 4 y^{\prime \prime }+8 y^{\prime }+3 y = 0
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = 0
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| \[
{} 9 y^{\prime \prime }-12 y^{\prime }+4 y = 0
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| \[
{} 6 y^{\prime \prime }-7 y^{\prime }-20 y = 0
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| \[
{} 35 y^{\prime \prime }-y^{\prime }-12 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
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{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }-3 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime } = 0
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }-5 y = 0
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{} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
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| \[
{} \left (1+x \right ) y^{\prime \prime }-\left (x +2\right ) y^{\prime }+y = 0
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
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| \[
{} y^{\prime \prime }-4 y = 0
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| \[
{} 2 y^{\prime \prime }-3 y^{\prime } = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-10 y = 0
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| \[
{} 2 y^{\prime \prime }-7 y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }+5 y^{\prime }+5 y = 0
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+13 y = 0
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| \[
{} y^{\prime \prime }+8 y^{\prime }+25 y = 0
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
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| \[
{} 9 y^{\prime \prime }+6 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
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| \[
{} y^{\prime \prime }+2 i y^{\prime }+3 y = 0
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| \[
{} y^{\prime \prime }-i y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime } = \left (-2+2 i \sqrt {3}\right ) y
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{} x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0
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{} x^{2} y^{\prime \prime }+7 x y^{\prime }+25 y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y = 0
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| \[
{} x y^{\prime \prime }+3 y^{\prime }+x y = 0
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| \[
{} x y^{\prime \prime }-y^{\prime }+36 x^{3} y = 0
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| \[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+\left (x +8\right ) y = 0
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{} 36 x^{2} y^{\prime \prime }+60 x y^{\prime }+\left (9 x^{3}-5\right ) y = 0
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{} 16 x^{2} y^{\prime \prime }+24 x y^{\prime }+\left (144 x^{3}+1\right ) y = 0
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{} x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (x^{2}+1\right ) y = 0
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{} 4 x^{2} y^{\prime \prime }-12 x y^{\prime }+\left (15+16 x \right ) y = 0
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| \[
{} 16 x^{2} y^{\prime \prime }-\left (-144 x^{3}+5\right ) y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }-3 x y^{\prime }-2 \left (-x^{5}+14\right ) y = 0
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| \[
{} y^{\prime \prime }+x^{4} y = 0
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| \[
{} x y^{\prime \prime }+4 x^{3} y = 0
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
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| \[
{} x^{\prime \prime }+4 x = 0
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| \[
{} x^{\prime \prime }+9 x = 0
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| \[
{} x^{\prime \prime }-x^{\prime }-2 x = 0
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{} x^{\prime \prime }+8 x^{\prime }+15 x = 0
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| \[
{} x^{\prime \prime }+6 x^{\prime }+25 x = 0
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| \[
{} t x^{\prime \prime }+\left (t -2\right ) x^{\prime }+x = 0
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| \[
{} t x^{\prime \prime }+\left (3 t -1\right ) x^{\prime }+3 x = 0
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| \[
{} t x^{\prime \prime }-\left (4 t +1\right ) x^{\prime }+2 \left (2 t +1\right ) x = 0
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| \[
{} t x^{\prime \prime }+2 \left (t -1\right ) x^{\prime }-2 x = 0
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| \[
{} t x^{\prime \prime }-2 x^{\prime }+t x = 0
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| \[
{} t x^{\prime \prime }+\left (4 t -2\right ) x^{\prime }+\left (13 t -4\right ) x = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }-9 y = 0
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{} y^{\prime \prime }+4 y = 0
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{} y^{\prime \prime }+25 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime } = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime } = 0
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