| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime }+x \sin \left (2 y\right ) = 2 x \,{\mathrm e}^{-x^{2}} \cos \left (y\right )^{2}
\]
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| \[
{} x \left (2 x^{2}+y^{2}\right )+y \left (x^{2}+2 y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} 3 x^{2}+6 x y^{2}+\left (6 x^{2} y+4 y^{3}\right ) y^{\prime } = 0
\]
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| \[
{} \frac {x}{\sqrt {x^{2}+y^{2}}}+\frac {1}{x}+\frac {1}{y}+\left (\frac {y}{\sqrt {x^{2}+y^{2}}}+\frac {1}{y}-\frac {x}{y^{2}}\right ) y^{\prime } = 0
\]
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| \[
{} 3 x^{2} \tan \left (y\right )-\frac {2 y^{3}}{x^{3}}+\left (x^{3} \sec \left (y\right )^{2}+4 y^{3}+\frac {3 y^{2}}{x^{2}}\right ) y^{\prime } = 0
\]
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| \[
{} 2 x +\frac {x^{2}+y^{2}}{x^{2} y} = \frac {\left (x^{2}+y^{2}\right ) y^{\prime }}{x y^{2}}
\]
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| \[
{} \frac {\sin \left (2 x \right )}{y}+x +\left (y-\frac {\sin \left (x \right )^{2}}{y^{2}}\right ) y^{\prime } = 0
\]
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| \[
{} 3 x^{2}-2 x -y+\left (2 y-x +3 y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} \frac {x y}{\sqrt {x^{2}+1}}+2 x y-\frac {y}{x}+\left (\sqrt {x^{2}+1}+x^{2}-\ln \left (x \right )\right ) y^{\prime } = 0
\]
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| \[
{} \sin \left (y\right )+\sin \left (x \right ) y+\frac {1}{x}+\left (x \cos \left (y\right )-\cos \left (x \right )+\frac {1}{y}\right ) y^{\prime } = 0
\]
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| \[
{} \frac {y+\sin \left (x \right ) \cos \left (x y\right )^{2}}{\cos \left (x y\right )^{2}}+\left (\frac {x}{\cos \left (x y\right )^{2}}+\sin \left (y\right )\right ) y^{\prime } = 0
\]
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| \[
{} \frac {2 x}{y^{3}}+\frac {\left (y^{2}-3 x^{2}\right ) y^{\prime }}{y^{4}} = 0
\]
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| \[
{} y \left (a^{2}+x^{2}+y^{2}\right ) y^{\prime }+x \left (-a^{2}+x^{2}+y^{2}\right ) = 0
\]
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| \[
{} 3 x^{2} y+y^{3}+\left (x^{3}+3 x y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} 1-x^{2} y+x^{2} \left (y-x \right ) y^{\prime } = 0
\]
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| \[
{} x^{2}+y-x y^{\prime } = 0
\]
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| \[
{} x +y^{2}-2 y y^{\prime } x = 0
\]
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| \[
{} 2 x^{2} y+2 y+5+\left (2 x^{3}+2 x \right ) y^{\prime } = 0
\]
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| \[
{} x^{4} \ln \left (x \right )-2 x y^{3}+3 x^{2} y^{2} y^{\prime } = 0
\]
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| \[
{} x +\sin \left (x \right )+\sin \left (y\right )+\cos \left (y\right ) y^{\prime } = 0
\]
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| \[
{} 2 x y^{2}-3 y^{3}+\left (7-3 x y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} 3 y^{2}-x +\left (2 y^{3}-6 x y\right ) y^{\prime } = 0
\]
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| \[
{} x^{2}+y^{2}+1-2 y y^{\prime } x = 0
\]
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| \[
{} x -x y+\left (y+x^{2}\right ) y^{\prime } = 0
\]
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| \[
{} {\mathrm e}^{-x} y^{\prime }+y^{2}-2 y \,{\mathrm e}^{x} = 1-{\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime }+y^{2}-2 \sin \left (x \right ) y+\sin \left (x \right )^{2}-\cos \left (x \right ) = 0
\]
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| \[
{} x y^{\prime }-y^{2}+\left (2 x +1\right ) y = x^{2}+2 x
\]
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| \[
{} x^{2} y^{\prime } = 1+x y+x^{2} y^{2}
\]
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| \[
{} y^{\prime } = y^{{2}/{3}}+a
\]
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| \[
{} y^{\prime } = \left (x -y\right )^{2}+1
\]
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| \[
{} x \sin \left (x \right ) y^{\prime }+\left (\sin \left (x \right )-x \cos \left (x \right )\right ) y = \cos \left (x \right ) \sin \left (x \right )-x
\]
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| \[
{} y^{\prime }+y \cos \left (x \right ) = y^{n} \sin \left (2 x \right )
\]
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| \[
{} x^{3}-3 x y^{2}+\left (y^{3}-3 x^{2} y\right ) y^{\prime } = 0
\]
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| \[
{} 5 x y-4 y^{2}-6 x^{2}+\left (y^{2}-8 x y+\frac {5 x^{2}}{2}\right ) y^{\prime } = 0
\]
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| \[
{} 3 x y^{2}-x^{2}+\left (3 x^{2} y-6 y^{2}-1\right ) y^{\prime } = 0
\]
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| \[
{} y-x y^{2} \ln \left (x \right )+x y^{\prime } = 0
\]
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| \[
{} 2 x y \,{\mathrm e}^{x^{2}}-x \sin \left (x \right )+{\mathrm e}^{x^{2}} y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \frac {1}{2 x -y^{2}}
\]
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| \[
{} x^{2}+x y^{\prime } = 3 x +y^{\prime }
\]
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| \[
{} y y^{\prime } x -y^{2} = x^{4}
\]
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| \[
{} \frac {1}{x^{2}-x y+y^{2}} = \frac {y^{\prime }}{2 y^{2}-x y}
\]
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| \[
{} \left (2 x -1\right ) y^{\prime }-2 y = \frac {1-4 x}{x^{2}}
\]
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| \[
{} x -y+3+\left (3 x +y+1\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime }+\cos \left (\frac {x}{2}+\frac {y}{2}\right ) = \cos \left (\frac {x}{2}-\frac {y}{2}\right )
\]
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| \[
{} y^{\prime } \left (3 x^{2}-2 x \right )-y \left (6 x -2\right ) = 0
\]
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| \[
{} x y^{2} y^{\prime }-y^{3} = \frac {x^{4}}{3}
\]
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| \[
{} 1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime } = 0
\]
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| \[
{} x^{2}+y^{2}-y y^{\prime } x = 0
\]
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| \[
{} x -y+2+\left (x -y+3\right ) y^{\prime } = 0
\]
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| \[
{} y+x y^{2}-x y^{\prime } = 0
\]
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| \[
{} 2 y y^{\prime }+2 x +x^{2}+y^{2} = 0
\]
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| \[
{} \left (x -1\right ) \left (y^{2}-y+1\right ) = \left (y-1\right ) \left (x^{2}+x +1\right ) y^{\prime }
\]
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| \[
{} \left (x -2 x y-y^{2}\right ) y^{\prime }+y^{2} = 0
\]
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| \[
{} y \cos \left (x \right )+\left (2 y-\sin \left (x \right )\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime }-1 = {\mathrm e}^{2 y+x}
\]
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| \[
{} 2 x^{5}+4 x^{3} y-2 x y^{2}+\left (y^{2}+2 x^{2} y-x^{4}\right ) y^{\prime } = 0
\]
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| \[
{} x^{2} y^{n} y^{\prime } = 2 x y^{\prime }-y
\]
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| \[
{} \left (3 x +3 y+a^{2}\right ) y^{\prime } = 4 x +4 y+b^{2}
\]
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| \[
{} x -y^{2}+2 y y^{\prime } x = 0
\]
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| \[
{} x y^{\prime }+y = y^{2} \ln \left (x \right )
\]
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| \[
{} \sin \left (\ln \left (x \right )\right )-\cos \left (\ln \left (y\right )\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \sqrt {\frac {9 y^{2}-6 y+2}{x^{2}-2 x +5}}
\]
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| \[
{} \left (5 x -7 y+1\right ) y^{\prime }+x +y-1 = 0
\]
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| \[
{} x +y+1+\left (2 x +2 y-1\right ) y^{\prime } = 0
\]
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| \[
{} y^{3}+2 \left (x^{2}-x y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \frac {2 \left (y+2\right )^{2}}{\left (x +y-1\right )^{2}}
\]
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| \[
{} x^{\prime }+3 x = {\mathrm e}^{-2 t}
\]
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| \[
{} x^{\prime }-3 x = 3 t^{3}+3 t^{2}+2 t +1
\]
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| \[
{} x^{\prime }-x = \cos \left (t \right )-\sin \left (t \right )
\]
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| \[
{} 2 x^{\prime }+6 x = t \,{\mathrm e}^{-3 t}
\]
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| \[
{} x^{\prime }+x = 2 \sin \left (t \right )
\]
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| \[
{} y^{\prime } = \frac {x^{4}}{y}
\]
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| \[
{} y^{\prime } = \frac {x^{2} \left (x^{3}+1\right )}{y}
\]
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| \[
{} y^{\prime }+y^{3} \sin \left (x \right ) = 0
\]
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| \[
{} y^{\prime } = \frac {7 x^{2}-1}{7+5 y}
\]
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| \[
{} y^{\prime } = \sin \left (2 x \right )^{2} \cos \left (y\right )^{2}
\]
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| \[
{} x y^{\prime } = \sqrt {1-y^{2}}
\]
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| \[
{} y y^{\prime } = \left (x y^{2}+x \right ) {\mathrm e}^{x^{2}}
\]
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| \[
{} y^{\prime } = \frac {x^{2}+{\mathrm e}^{-x}}{y^{2}-{\mathrm e}^{y}}
\]
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| \[
{} y^{\prime } = \frac {x^{2}}{1+y^{2}}
\]
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| \[
{} y^{\prime } = \frac {\sec \left (x \right )^{2}}{y^{3}+1}
\]
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| \[
{} y^{\prime } = 4 \sqrt {x y}
\]
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| \[
{} y^{\prime } = x \left (y-y^{2}\right )
\]
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{} y^{\prime } = \left (1-12 x \right ) y^{2}
\]
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| \[
{} y^{\prime } = \frac {3-2 x}{y}
\]
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| \[
{} x +y y^{\prime } {\mathrm e}^{-x} = 0
\]
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| \[
{} r^{\prime } = \frac {r^{2}}{\theta }
\]
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| \[
{} y^{\prime } = \frac {3 x}{y+x^{2} y}
\]
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| \[
{} y^{\prime } = \frac {2 x}{1+2 y}
\]
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| \[
{} y^{\prime } = 2 x y^{2}+4 y^{2} x^{3}
\]
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| \[
{} y^{\prime } = x^{2} {\mathrm e}^{-3 y}
\]
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| \[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (2 x \right )
\]
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| \[
{} y^{\prime } = \frac {x \left (x^{2}+1\right ) y^{5}}{6}
\]
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| \[
{} y^{\prime } = \frac {-{\mathrm e}^{x}+3 x^{2}}{2 y-11}
\]
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| \[
{} x^{2} y^{\prime } = y-x y
\]
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{} y^{\prime } = \frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y}
\]
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| \[
{} 2 y y^{\prime } = \frac {x}{\sqrt {x^{2}-4}}
\]
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| \[
{} \sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime } = 0
\]
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| \[
{} \sqrt {-x^{2}+1}\, y^{2} y^{\prime } = \arcsin \left (x \right )
\]
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| \[
{} y^{\prime } = \frac {3 x^{2}+1}{12 y^{2}-12 y}
\]
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