| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-25\right ) y = 0
\]
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| \[
{} 16 x^{2} y^{\prime \prime }+16 x y^{\prime }+\left (16 x^{2}-1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x y = 0
\]
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| \[
{} y^{\prime }+x y^{\prime \prime }+\left (x -\frac {4}{x}\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (9 x^{2}-4\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (36 x^{2}-\frac {1}{4}\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (25 x^{2}-\frac {4}{9}\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (2 x^{2}-64\right ) y = 0
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+4 y = 0
\]
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| \[
{} x y^{\prime \prime }+3 y^{\prime }+x y = 0
\]
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| \[
{} x y^{\prime \prime }-y^{\prime }+x y = 0
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| \[
{} x y^{\prime \prime }-5 y^{\prime }+x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-2\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+\left (16 x^{2}+1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+3 y^{\prime }+x^{3} y = 0
\]
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| \[
{} 9 x^{2} y^{\prime \prime }+9 x y^{\prime }+\left (x^{6}-36\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-x^{2} y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }-7 x^{3} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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| \[
{} 16 x^{2} y^{\prime \prime }+32 x y^{\prime }+\left (x^{4}-12\right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (16 x^{2}+3\right ) y = 0
\]
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| \[
{} t y^{\prime \prime }-y^{\prime } = 2 t^{2}
\]
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| \[
{} 2 y^{\prime \prime }+t y^{\prime }-2 y = 10
\]
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| \[
{} y^{\prime \prime } = x {y^{\prime }}^{3}
\]
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| \[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
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| \[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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| \[
{} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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| \[
{} \left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} 2 a y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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| \[
{} x y^{\prime \prime } = y^{\prime }+x^{5}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x = 0
\]
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| \[
{} y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\]
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| \[
{} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
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| \[
{} {y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right ) = y^{\prime }
\]
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| \[
{} y^{\prime \prime } = x {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = x {y^{\prime }}^{2}
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| \[
{} y^{\prime \prime } = -{\mathrm e}^{-2 y}
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{} y^{\prime \prime } = -{\mathrm e}^{-2 y}
\]
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| \[
{} 2 y^{\prime \prime } = \sin \left (2 y\right )
\]
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| \[
{} 2 y^{\prime \prime } = \sin \left (2 y\right )
\]
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| \[
{} -x^{2} y^{\prime }+x^{3} y^{\prime \prime } = -x^{2}+3
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
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| \[
{} y^{\prime \prime } = {\mathrm e}^{x} {y^{\prime }}^{2}
\]
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| \[
{} 2 y^{\prime \prime } = {y^{\prime }}^{3} \sin \left (2 x \right )
\]
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| \[
{} {y^{\prime }}^{2}+x^{2} y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2} \left (1-y^{\prime } \sin \left (y\right )-\cos \left (y\right ) y y^{\prime }\right )
\]
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| \[
{} \left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\]
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| \[
{} \left (1+{y^{\prime }}^{2}+y y^{\prime \prime }\right )^{2} = \left (1+{y^{\prime }}^{2}\right )^{3}
\]
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| \[
{} x^{2} y^{\prime \prime } = y^{\prime } \left (2 x -y^{\prime }\right )
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| \[
{} x^{2} y^{\prime \prime } = \left (3 x -2 y^{\prime }\right ) y^{\prime }
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| \[
{} x y^{\prime \prime } = y^{\prime } \left (2-3 x y^{\prime }\right )
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| \[
{} x^{4} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+x^{3}\right )
\]
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| \[
{} y^{\prime \prime } = 2 x +\left (x^{2}-y^{\prime }\right )^{2}
\]
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| \[
{} {y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }+x^{2} = 0
\]
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| \[
{} y^{\prime }-x y^{\prime \prime }+{y^{\prime \prime }}^{2} = 0
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| \[
{} {y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right )
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| \[
{} 3 y y^{\prime } y^{\prime \prime } = -1+{y^{\prime }}^{3}
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| \[
{} 4 y {y^{\prime }}^{2} y^{\prime \prime } = 3+{y^{\prime }}^{4}
\]
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| \[
{} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+5 x y^{\prime }+3 y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y = 0
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| \[
{} 9 x^{2} y^{\prime \prime }+2 y = 0
\]
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{} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }-2 y = 0
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 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 }-5 x y^{\prime }+9 y = 0
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{} x^{2} y^{\prime \prime }+5 x y^{\prime }+5 y = 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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| \[
{} x y^{\prime \prime }+y^{\prime }-x y = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} t y^{\prime \prime }+4 y^{\prime } = t^{2}
\]
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| \[
{} \left (t^{2}+9\right ) y^{\prime \prime }+2 t y^{\prime } = 0
\]
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{} t^{2} y^{\prime \prime }-3 t y^{\prime }+5 y = 0
\]
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| \[
{} t y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} t^{2} y^{\prime \prime }-2 y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+\frac {\left (t^{2}-1\right ) y^{\prime }}{t}+\frac {t^{2} y}{\left (1+{\mathrm e}^{\frac {t^{2}}{2}}\right )^{2}} = 0
\]
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| \[
{} t y^{\prime \prime }-y^{\prime }+4 t^{3} y = 0
\]
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| \[
{} y y^{\prime \prime } = 1
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| \[
{} y y^{\prime \prime } = x
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| \[
{} y^{2} y^{\prime \prime } = x
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| \[
{} 3 y y^{\prime \prime } = \sin \left (x \right )
\]
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| \[
{} 3 y y^{\prime \prime }+y = 5
\]
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| \[
{} a y y^{\prime \prime }+b y = c
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| \[
{} a y^{2} y^{\prime \prime }+b y^{2} = c
\]
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| \[
{} y^{\prime \prime } = \frac {1}{y}-\frac {x y^{\prime }}{y^{2}}
\]
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| \[
{} y^{\prime \prime }-y y^{\prime } = 2 x
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-2 x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-3 x = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{2}-x = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{3}+2 = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{4}-6 = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{5}+24 = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{2} = 0
\]
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