| # | ODE | Mathematica | Maple | Sympy |
| \[
{} \left (-x^{2}+2\right ) y+4 x y^{\prime }+x^{2} y^{\prime \prime } = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} x y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0
\]
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| \[
{} \left (2 x^{3}-1\right ) y^{\prime \prime }-6 x^{2} y^{\prime }+6 x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 n x \left (1+x \right ) y^{\prime }+\left (a^{2} x^{2}+n^{2}+n \right ) y = 0
\]
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| \[
{} x^{4} y^{\prime \prime }+2 x^{3} \left (1+x \right ) y^{\prime }+n^{2} y = 0
\]
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| \[
{} y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} 2 y^{\prime \prime } = {\mathrm e}^{y}
\]
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| \[
{} y y^{\prime \prime }+2 y^{\prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} x^{5} y^{\prime \prime }+\left (2 x^{4}-x \right ) y^{\prime }-\left (2 x^{3}-1\right ) y = 0
\]
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| \[
{} x^{2} \left (-x^{3}+1\right ) y^{\prime \prime }-x^{3} y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }+2 \cot \left (x \right ) y^{\prime }+2 \tan \left (x \right ) {y^{\prime }}^{2} = 0
\]
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| \[
{} \left (x y^{\prime }-y\right )^{2}+x^{2} y y^{\prime \prime } = 0
\]
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| \[
{} x^{3} y^{\prime \prime }-\left (x y^{\prime }-y\right )^{2} = 0
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = \ln \left (y\right ) y^{2}-x^{2} y^{2}
\]
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| \[
{} \sin \left (x \right )^{2} y^{\prime \prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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| \[
{} \left (x^{2}-x \right ) y^{\prime \prime }+\left (4 x +2\right ) y^{\prime }+2 y = 0
\]
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| \[
{} \left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2}+\left (1-\ln \left (y\right )\right ) y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 0
\]
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| \[
{} \sin \left (x \right ) y^{\prime \prime }-\cos \left (x \right ) y^{\prime }+2 \sin \left (x \right ) y = 0
\]
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| \[
{} x^{\prime \prime }+2 x^{\prime }+2 x = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-6 x = 0
\]
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| \[
{} 2 x^{\prime \prime }-5 x^{\prime }-3 x = 0
\]
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| \[
{} x^{\prime \prime }-4 x^{\prime }+4 x = 0
\]
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| \[
{} x^{\prime \prime }-2 x^{\prime } = 0
\]
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| \[
{} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0
\]
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| \[
{} x^{\prime \prime }+4 x^{\prime }+3 x = 0
\]
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| \[
{} x^{\prime \prime }-4 x^{\prime }+4 x = 0
\]
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| \[
{} x^{\prime \prime }-2 x^{\prime } = 0
\]
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| \[
{} \frac {x^{\prime \prime }}{2}+x^{\prime }+\frac {x}{2} = 0
\]
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| \[
{} x^{\prime \prime }+4 x^{\prime }+3 x = 0
\]
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| \[
{} x^{\prime \prime }+x^{\prime }+4 x = 0
\]
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| \[
{} x^{\prime \prime }-4 x^{\prime }+6 x = 0
\]
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| \[
{} x^{\prime \prime }+9 x = 0
\]
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| \[
{} x^{\prime \prime }-12 x = 0
\]
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| \[
{} 2 x^{\prime \prime }+3 x^{\prime }+3 x = 0
\]
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| \[
{} \frac {x^{\prime \prime }}{2}+\frac {5 x^{\prime }}{6}+\frac {2 x}{9} = 0
\]
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| \[
{} x^{\prime \prime }+x^{\prime }+x = 0
\]
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| \[
{} x^{\prime \prime }+\frac {x^{\prime }}{8}+x = 0
\]
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| \[
{} x^{\prime \prime } = -\frac {x}{t^{2}}
\]
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| \[
{} x^{\prime \prime } = \frac {4 x}{t^{2}}
\]
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| \[
{} t^{2} x^{\prime \prime }+3 t x^{\prime }+x = 0
\]
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| \[
{} t x^{\prime \prime }+4 x^{\prime }+\frac {2 x}{t} = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-7 t x^{\prime }+16 x = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+3 t x^{\prime }-8 x = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime } = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-t x^{\prime }+2 x = 0
\]
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| \[
{} x^{\prime \prime }+t^{2} x^{\prime } = 0
\]
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| \[
{} x^{\prime \prime }+t x^{\prime }+x = 0
\]
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| \[
{} x^{\prime \prime }-t x^{\prime }+x = 0
\]
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| \[
{} x^{\prime \prime }-2 a x^{\prime }+a^{2} x = 0
\]
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| \[
{} x^{\prime \prime }-\frac {\left (t +2\right ) x^{\prime }}{t}+\frac {\left (t +2\right ) x}{t^{2}} = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime }+\left (t^{2}-\frac {1}{4}\right ) x = 0
\]
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| \[
{} x^{\prime \prime }-x^{\prime }-6 x = 0
\]
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| \[
{} x^{\prime \prime }-2 x^{\prime }+2 x = 0
\]
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| \[
{} x^{\prime \prime }-x^{\prime } = 0
\]
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| \[
{} 12 y-7 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 2 y+4 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-8 y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-12 y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 0
\]
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| \[
{} \left (1+x \right )^{2} y^{\prime \prime }-3 y^{\prime } \left (1+x \right )+3 y = 0
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (x^{2}-x +1\right ) y^{\prime \prime }-\left (x^{2}+x \right ) y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} \left (2 x +1\right ) y^{\prime \prime }-4 y^{\prime } \left (1+x \right )+4 y = 0
\]
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| \[
{} \left (x^{3}-x^{2}\right ) y^{\prime \prime }-\left (x^{3}+2 x^{2}-2 x \right ) y^{\prime }+\left (2 x^{2}+2 x -2\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 0
\]
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+5 y = 0
\]
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| \[
{} 3 y^{\prime \prime }-14 y^{\prime }-5 y = 0
\]
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| \[
{} y^{\prime \prime }-8 y^{\prime }+16 y = 0
\]
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+13 y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+25 y = 0
\]
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| \[
{} y^{\prime \prime }+9 y = 0
\]
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| \[
{} 4 y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-12 y = 0
\]
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| \[
{} y^{\prime \prime }+7 y^{\prime }+10 y = 0
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }+8 y = 0
\]
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| \[
{} 3 y^{\prime \prime }+4 y^{\prime }-4 y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
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| \[
{} 9 y^{\prime \prime }-6 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+29 y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+58 y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+13 y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
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