| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{2}-x^{2}-2 y y^{\prime } x = 0
\]
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| \[
{} y^{\prime } = \frac {y^{3}-2 x^{3}}{x y^{2}}
\]
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| \[
{} y^{\prime } = \frac {2 y^{4}+x^{4}}{x y^{3}}
\]
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| \[
{} y^{\prime } = \sqrt {-\frac {y^{2}}{x^{2}}+1}+\frac {y}{x}
\]
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| \[
{} 2 y y^{\prime } x = -x^{2}+y^{2}
\]
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| \[
{} x +y-\left (x -y\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \frac {2 x y}{-x^{2}+y^{2}}
\]
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| \[
{} y^{\prime } = \frac {2 y^{4}+x^{4}}{x y^{3}}
\]
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| \[
{} x^{2}-3 y^{2}+2 y y^{\prime } x = 0
\]
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| \[
{} y y^{\prime } x +x^{2}+y^{2} = 0
\]
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| \[
{} x y^{\prime }-y = \sqrt {x^{2}+y^{2}}
\]
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| \[
{} y^{\prime } = \frac {2 x y}{x^{2}-y^{2}}
\]
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| \[
{} y+\sqrt {x^{2}+y^{2}}-x y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \frac {x^{2}+y^{2}}{x y}
\]
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| \[
{} y-x y^{2}+x y^{\prime } = 0
\]
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| \[
{} y^{\prime }+\tan \left (\theta \right ) y = \cos \left (\theta \right )
\]
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| \[
{} y^{\prime }+2 x y = 0
\]
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| \[
{} 1+3 x \sin \left (y\right )-x^{2} \cos \left (y\right ) y^{\prime } = 0
\]
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| \[
{} \left (2+3 x -x y\right ) y^{\prime }+y = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right ) y = x \,{\mathrm e}^{-x}
\]
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| \[
{} x^{\prime }-x \tan \left (t \right ) = \sin \left (t \right )
\]
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| \[
{} y^{\prime } = 2 x y-x
\]
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| \[
{} y^{\prime }+\left (b x +a \right ) y = f \left (x \right )
\]
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| \[
{} 2 y+y^{\prime } = 1
\]
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| \[
{} 2 y-8 x^{2}+x y^{\prime } = 0
\]
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| \[
{} y^{\prime }-3 y = 6
\]
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| \[
{} y-x y^{\prime } = 0
\]
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| \[
{} x y^{\prime }-y+y^{2} = 0
\]
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| \[
{} y^{\prime }+\frac {y \left (x +y\right )}{x +2 y-1} = 0
\]
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| \[
{} y^{\prime }+\frac {y}{x^{2} y^{2}+x} = \frac {x y^{2}}{x^{2} y^{2}+x}
\]
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| \[
{} y^{2}+y y^{\prime } x = 0
\]
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| \[
{} \ln \left (y\right )+\frac {y^{\prime }}{y} = 0
\]
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| \[
{} {\mathrm e}^{x}-\sin \left (y\right )+\cos \left (y\right ) y^{\prime } = 0
\]
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| \[
{} 2 x^{2}+y+\left (x^{2} y-x \right ) y^{\prime } = 0
\]
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| \[
{} 4 x y+3 y^{2}-x +x \left (2 y+x \right ) y^{\prime } = 0
\]
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| \[
{} y \left (x +y+1\right )+x \left (x +3 y+2\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \frac {3 y x^{2}}{x^{3}+2 y^{4}}
\]
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| \[
{} y^{\prime } = \frac {-x y+\ln \left (x^{2}\right )}{x^{2}+x \,{\mathrm e}^{y}}
\]
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| \[
{} 3 x^{2} y+\left (y^{4}-x^{3}\right ) y^{\prime } = 0
\]
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| \[
{} y+\left (x +y^{2} x^{3}\right ) y^{\prime } = 0
\]
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| \[
{} \left (x^{3}-y\right ) y-x \left (x^{3}+y\right ) y^{\prime } = 0
\]
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| \[
{} \frac {y^{2}-x y}{x y^{2}}+\frac {x y^{\prime }}{y^{2}} = 0
\]
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| \[
{} \frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
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| \[
{} y^{\prime } = \frac {x -2 y}{2 x -y}
\]
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| \[
{} y^{\prime } \left (x +\frac {x^{2}}{y}\right ) = y
\]
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| \[
{} 2 x -y+\left (-x +2 y\right ) y^{\prime } = 0
\]
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| \[
{} 2 y+y^{\prime } = 0
\]
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| \[
{} y^{\prime }+q \left (x \right ) y = 0
\]
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| \[
{} 2 y-1+\left (3 x -y\right ) y^{\prime } = 0
\]
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| \[
{} 2 y+y^{\prime } = 1
\]
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| \[
{} y^{\prime } = y+{\mathrm e}^{x}
\]
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| \[
{} y^{\prime }+\frac {4 y}{x} = x^{4}
\]
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| \[
{} y^{\prime }+y = x
\]
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| \[
{} y^{\prime }+\frac {y}{x} = 3 x
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime }+4 x y = x
\]
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| \[
{} y^{\prime }+\frac {\left (2 x +1\right ) y}{x} = {\mathrm e}^{-2 x}
\]
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| \[
{} y^{\prime }+y = \sin \left (x \right )
\]
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| \[
{} y^{\prime }-2 x y = x
\]
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| \[
{} y^{\prime }-\frac {y}{x} = x
\]
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| \[
{} \cos \left (x \right ) y^{\prime }+\sin \left (x \right ) y = 1
\]
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| \[
{} y^{\prime } = \frac {x^{4}+2 y}{x}
\]
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| \[
{} y^{\prime } = \frac {2 x y}{-x^{2}+y^{2}}
\]
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| \[
{} y^{\prime }-5 y = 0
\]
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| \[
{} y^{\prime }+y = \sin \left (x \right )
\]
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| \[
{} y^{2}+\left (3 x y-1\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime }+p \left (x \right ) y = q \left (x \right )
\]
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| \[
{} \frac {x^{2}}{y}+y^{2}-\left (\frac {x^{3}}{y^{2}}+x y+y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \frac {x^{2} y^{2}+2 y}{x}
\]
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| \[
{} 6 y^{2}-x \left (2 x^{3}+y\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \frac {1}{x^{2} y^{3}+x y}
\]
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| \[
{} y^{\prime }-\frac {3 y}{x} = x^{4} y^{{1}/{3}}
\]
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| \[
{} y^{\prime }+y = x y^{3}
\]
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| \[
{} y \left (6 y^{2}-x -1\right )+2 x y^{\prime } = 0
\]
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| \[
{} y^{\prime }+x y = x y^{2}
\]
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| \[
{} x u^{\prime \prime }-\left (x^{2} {\mathrm e}^{x}+1\right ) u^{\prime }-x^{2} {\mathrm e}^{x} u = 0
\]
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| \[
{} u^{\prime \prime }-\left (1+x \right ) u^{\prime }+\left (x -1\right ) u = 0
\]
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| \[
{} y^{\prime } = -\frac {x +2}{x \left (1+x \right )^{2}}-\frac {\left (-x^{2}+x +2\right ) y}{x \left (1+x \right )}+\left (1+x \right ) y^{2}
\]
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| \[
{} y^{\prime } = -\frac {x +2}{x \left (1+x \right )^{2}}-\frac {\left (-x^{2}+x +2\right ) y}{x \left (1+x \right )}+\left (1+x \right ) y^{2}
\]
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| \[
{} y^{\prime } = 1-y+y^{2} {\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime } = {\mathrm e}^{2 x}+\left (2+\frac {5 \,{\mathrm e}^{x}}{2}\right ) y+y^{2}
\]
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| \[
{} y^{\prime } = -x^{2}-x -1-\left (2 x +1\right ) y-y^{2}
\]
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| \[
{} y^{\prime } = 1+x +x^{2} \cos \left (x \right )-\left (1+4 x \cos \left (x \right )\right ) y+2 y^{2} \cos \left (x \right )
\]
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| \[
{} y^{\prime } = -2+3 y-y^{2}
\]
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| \[
{} \left (x y^{\prime }-y\right )^{2}-{y^{\prime }}^{2}-1 = 0
\]
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| \[
{} {y^{\prime }}^{2} \left (x^{2}-1\right )-2 y y^{\prime } x +y^{2}-1 = 0
\]
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| \[
{} y = x y^{\prime }+{y^{\prime }}^{3}
\]
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| \[
{} \left (x^{2}-2 x \right ) \left (1+{y^{\prime }}^{2}\right )+1 = 0
\]
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| \[
{} 2 y^{\prime }+y-2 y^{\prime } \ln \left (y^{\prime }\right ) = 0
\]
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| \[
{} \frac {\ln \left (1+{y^{\prime }}^{2}\right )}{2}-\ln \left (y^{\prime }\right )-x +2 = 0
\]
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| \[
{} u^{\prime \prime }+\left (\tan \left (x \right )-2 \cos \left (x \right )\right ) u^{\prime } = 0
\]
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| \[
{} 2 y-3 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} y-2 y^{\prime }+y^{\prime \prime } = x^{2}
\]
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| \[
{} y^{\prime \prime }+b y^{\prime }+c y = f \left (x \right )
\]
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| \[
{} x^{\prime \prime }-4 x = 0
\]
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| \[
{} y^{\prime \prime }-5 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = 0
\]
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| \[
{} x^{\prime \prime } = 0
\]
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