| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y y^{\prime \prime \prime }+x y^{\prime }+y = x^{2}
\]
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| \[
{} y^{\prime \prime }+{\mathrm e}^{x} y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+x^{2} y^{\prime \prime \prime }+x y^{\prime \prime }-{\mathrm e}^{x} y^{\prime }+2 y = x^{2}+x +1
\]
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+y = 4 x y^{2}
\]
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| \[
{} y y^{\prime }+y^{\prime \prime } = x^{2}
\]
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| \[
{} y^{\prime \prime \prime }+\left (x^{2}-1\right ) y^{\prime \prime }-2 y^{\prime }+y = 5 \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }-\frac {y}{x} = x^{2}
\]
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| \[
{} y^{\prime \prime }+2 x y = x
\]
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| \[
{} {s^{\prime \prime \prime }}^{2}+{s^{\prime \prime }}^{3} = s-3 t
\]
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| \[
{} y^{\prime \prime }+x y = \sin \left (y^{\prime \prime }\right )
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 2 x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+y^{2} = 0
\]
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| \[
{} 1+{y^{\prime }}^{2}+2 y y^{\prime \prime } = 0
\]
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| \[
{} 2 y y^{\prime }+x {y^{\prime }}^{2}+x y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+x {y^{\prime }}^{2} = 1
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x y = 0
\]
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| \[
{} x y^{\prime \prime }-3 y^{\prime } = 4 x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime } = x^{2}+1
\]
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| \[
{} x^{3} y^{\prime \prime \prime } = 1+\sqrt {x}
\]
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| \[
{} y^{\prime } y^{\prime \prime } = 1
\]
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| \[
{} x y^{\prime \prime }+2 y = 0
\]
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| \[
{} y y^{\prime \prime } = y^{\prime }
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} y^{\prime \prime } = \left (1+y\right ) y^{\prime }
\]
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| \[
{} y^{\prime \prime }+x y^{\prime } = x
\]
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| \[
{} x y^{\prime \prime \prime }+y^{\prime \prime } = 1
\]
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| \[
{} {y^{\prime \prime \prime }}^{2} = {y^{\prime \prime }}^{3}
\]
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| \[
{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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| \[
{} 2 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 1
\]
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| \[
{} y^{\prime \prime } = -\frac {4}{y^{3}}
\]
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| \[
{} y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 1
\]
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} x^{4} y^{\prime \prime \prime }+1 = 0
\]
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| \[
{} u^{\prime \prime }+\frac {u^{\prime }}{r} = 4-4 r
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }-y = 1
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = x^{3}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+x y = 0
\]
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| \[
{} y^{\prime \prime }+\left (1-x \right ) y^{\prime }-x y = x
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = x
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-n^{2}+x^{2}\right ) y = 0
\]
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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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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x \,{\mathrm e}^{-x}
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 y = x
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = \ln \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = x^{2}+16 \ln \left (x \right )^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }+y = 16 \sin \left (\ln \left (x \right )\right )
\]
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| \[
{} t^{2} i^{\prime \prime }+2 i^{\prime } t +i = t \ln \left (t \right )
\]
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| \[
{} y^{\prime \prime } = \frac {\frac {4 x}{25}-\frac {4 y}{25}}{x^{2}}
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = \sqrt {x}+\frac {1}{\sqrt {x}}
\]
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{} x^{2} y^{\prime \prime }-2 x y^{\prime } = 5 \ln \left (x \right )
\]
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| \[
{} 3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 1+x
\]
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| \[
{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = x \ln \left (x \right )
\]
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| \[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+7 x^{2} y^{\prime \prime }+x y^{\prime }-y = 1
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y = x^{2}-4 x +2
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+4 y = 0
\]
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| \[
{} \left (2 x +3\right )^{2} y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }-2 y = 24 x^{2}
\]
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| \[
{} \left (x +2\right )^{2} y^{\prime \prime }-y = 4
\]
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| \[
{} \left (r^{2}+r \right ) R^{\prime \prime }+r R^{\prime }-n \left (n +1\right ) R = 0
\]
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| \[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2} = 0
\]
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| \[
{} x y^{\prime \prime }-y^{\prime }-4 x^{3} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 3 x -2
\]
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| \[
{} \sin \left (x \right ) y^{\prime \prime }+\left (3 \sin \left (x \right )^{2}-\cos \left (x \right )\right ) y^{\prime }+2 \sin \left (x \right )^{3} y = 0
\]
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| \[
{} x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }+y = \frac {1}{x^{2}}
\]
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| \[
{} x^{2} y^{\prime \prime }-6 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 24+24 x
\]
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| \[
{} x^{2} y^{\prime \prime \prime }-x y^{\prime \prime }+y^{\prime } = \frac {\ln \left (x \right )}{x}
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\]
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| \[
{} y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+\left (\sin \left (x \right )+1\right ) y = 0
\]
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| \[
{} y^{\prime \prime \prime } = \frac {24 x +24 y}{x^{3}}
\]
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| \[
{} x y^{\prime \prime \prime }+2 x y^{\prime \prime }-x y^{\prime }-2 x y = 1
\]
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| \[
{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+3\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2} \left (2+x y^{\prime }-4 y^{2} y^{\prime }\right )
\]
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| \[
{} t y^{\prime \prime }-t y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} \left (1-y^{2}\right ) y^{\prime \prime } = y^{\prime }
\]
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| \[
{} T^{\prime \prime }+{T^{\prime }}^{3} = 0
\]
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| \[
{} y^{\prime \prime } {y^{\prime }}^{2}-x^{2} = 0
\]
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| \[
{} x^{2} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1-\frac {1}{4 x^{2}}\right ) y = \sqrt {x}
\]
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| \[
{} y+x y^{\prime \prime } = x \,{\mathrm e}^{x}
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+y^{\prime } = 2
\]
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| \[
{} y^{\prime \prime }-\tan \left (x \right ) y^{\prime }-\frac {\tan \left (x \right ) y}{x} = \frac {y^{3}}{x^{3}}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {y-y^{\prime }}{x}
\]
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| \[
{} y^{\prime \prime } = y^{\prime } \left (y^{\prime }+y\right )
\]
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| \[
{} y^{\prime \prime } = \frac {1+{y^{\prime }}^{2}}{2 y}
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 3
\]
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| \[
{} y^{\left (5\right )}-\frac {y^{\prime \prime \prime \prime }}{x} = 0
\]
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