| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{3} = 0
\]
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| \[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
\]
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-x y-x^{2} = 0
\]
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{2} y-x^{3}-x^{2} = 0
\]
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| \[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{3} y-x^{4}-x^{2} = 0
\]
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x y-x^{2}-\frac {1}{x} = 0
\]
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x^{2} y-x^{3}-\frac {1}{x} = 0
\]
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| \[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x^{3} y-x^{4}-\frac {1}{x} = 0
\]
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| \[
{} y^{\prime \prime }-x^{3} y^{\prime }-x y-x^{3}-x^{2} = 0
\]
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| \[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{2} y-x^{3} = 0
\]
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| \[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{4}-x^{3} = 0
\]
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| \[
{} y^{\prime \prime \prime }-x^{3} y^{\prime }-x^{2} y-x^{3} = 0
\]
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| \[
{} w^{\prime } = -\frac {1}{2}-\frac {\sqrt {1-12 w}}{2}
\]
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| \[
{} y^{\prime \prime \prime }+y^{\prime }+y = x
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = x
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+y {y^{\prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2} \sin \left (y\right ) = 0
\]
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| \[
{} y^{\prime } = 2 x^{2} \sin \left (\frac {y}{x}\right )^{2}+\frac {y}{x}
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1+x
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+x +1
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+1
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{4}
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \sin \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \sin \left (x \right )+1
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x \sin \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right )+\sin \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (-1+\cos \left (x \right )\right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-x y = x^{2}+2 x
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = 1
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+\cos \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{3}+\cos \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{3} \cos \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{3} \cos \left (x \right )+\sin \left (x \right )^{2}
\]
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| \[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \ln \left (x \right )
\]
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| \[
{} {y^{\prime }}^{2}+y^{2} = \sec \left (x \right )^{4}
\]
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| \[
{} \left (y-2 x y^{\prime }\right )^{2} = {y^{\prime }}^{3}
\]
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| \[
{} x^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }+\left (x -5\right ) y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = \sin \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = x \sin \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = \cos \left (x \right ) \sin \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = x^{3}+x \sin \left (x \right )
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime }+y = x \,{\mathrm e}^{x}
\]
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| \[
{} \frac {x y^{\prime \prime }}{1-x}+y = \frac {1}{1-x}
\]
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| \[
{} \frac {x y^{\prime \prime }}{1-x}+y = \cos \left (x \right )
\]
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| \[
{} \frac {x y^{\prime \prime }}{-x^{2}+1}+y = 0
\]
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| \[
{} y^{\prime \prime } = \left (x^{2}+3\right ) y
\]
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| \[
{} y^{\prime \prime } \sin \left (2 x \right )^{2}+y^{\prime } \sin \left (4 x \right )-4 y = 0
\]
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+2 \cot \left (x \right ) y^{\prime }-y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 4 \sqrt {x}\, {\mathrm e}^{x}
\]
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| \[
{} x y^{\prime \prime }-\left (2 x +2\right ) y^{\prime }+\left (x +2\right ) y = 6 x^{3} {\mathrm e}^{x}
\]
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| \[
{} y^{\prime }+y = \frac {1}{x}
\]
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| \[
{} y^{\prime }+y = \frac {1}{x^{2}}
\]
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| \[
{} x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime } = \frac {1}{x}
\]
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| \[
{} y^{\prime \prime } = \frac {1}{x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime } = \frac {1}{x}
\]
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| \[
{} y^{\prime \prime }+y = \frac {1}{x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = \frac {1}{x}
\]
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| \[
{} h^{2}+\frac {2 a h}{\sqrt {1+{h^{\prime }}^{2}}} = b^{2}
\]
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| \[
{} y^{\prime \prime }+y = {\mathrm e}^{a \cos \left (x \right )}
\]
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| \[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} y^{\prime } = \frac {x y+3 x -2 y+6}{x y-3 x -2 y+6}
\]
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| \[
{} y^{\prime } = a x +b y^{2}
\]
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| \[
{} c y^{\prime } = a x +b y^{2}
\]
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| \[
{} c y^{\prime } = \frac {a x +b y^{2}}{r}
\]
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| \[
{} c y^{\prime } = \frac {a x +b y^{2}}{r x}
\]
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| \[
{} c y^{\prime } = \frac {a x +b y^{2}}{r \,x^{2}}
\]
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| \[
{} y^{\prime } = \sin \left (x \right )+y^{2}
\]
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| \[
{} y^{\prime } = \cos \left (x \right )+\frac {y^{2}}{x}
\]
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| \[
{} y^{\prime } = x +y+b y^{2}
\]
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| \[
{} {y^{\prime }}^{n} = 0
\]
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| \[
{} x {y^{\prime }}^{n} = 0
\]
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| \[
{} {y^{\prime }}^{2} = \frac {1}{x^{2} y^{3}}
\]
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| \[
{} {y^{\prime }}^{4} = \frac {1}{x y^{3}}
\]
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| \[
{} y^{\prime } = \left (a +b x +y\right )^{4}
\]
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| \[
{} y^{\prime } = \left (\pi +x +7 y\right )^{{7}/{2}}
\]
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| \[
{} y^{\prime } = \left (a +b x +c y\right )^{6}
\]
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| \[
{} y^{\prime } = 5 \,{\mathrm e}^{x^{2}+20 y}+\sin \left (x \right )
\]
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| \[
{} [x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right ) = y \left (t \right )+t, x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = 2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}]
\]
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| \[
{} [x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right ) = y \left (t \right )+t +\sin \left (t \right )+\cos \left (t \right ), x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = 2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}]
\]
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| \[
{} \left (a t +1\right ) y^{\prime }+y = t
\]
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| \[
{} x y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime }+y = x
\]
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| \[
{} x y^{\prime }+y = 1
\]
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| \[
{} x y^{\prime }+y = \sin \left (x \right )
\]
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| \[
{} x y^{\prime }+y = 2 x^{4}+x^{3}+x
\]
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| \[
{} x y^{\prime }+y = \frac {1}{x^{3}}
\]
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| \[
{} x y^{\prime }+2 x y = \sqrt {x}
\]
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| \[
{} y^{\prime }+\frac {y}{x} = 0
\]
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| \[
{} \cos \left (x \right ) y^{\prime }+\frac {y}{x} = x
\]
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| \[
{} \cos \left (x \right ) y^{\prime }+\frac {y}{x} = x +\sin \left (x \right )
\]
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| \[
{} x y^{\prime }+y = \tan \left (x \right )
\]
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