| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x y^{\prime } = \left (y \ln \left (x \right )-2\right ) y
\]
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| \[
{} y-\cos \left (x \right ) y^{\prime } = y^{2} \cos \left (x \right ) \left (1-\sin \left (x \right )\right )
\]
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| \[
{} x^{2}+y+\left (x -2 y\right ) y^{\prime } = 0
\]
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| \[
{} y-3 x^{2}-\left (4 y-x \right ) y^{\prime } = 0
\]
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| \[
{} \left (y^{3}-x \right ) y^{\prime } = y
\]
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| \[
{} \frac {y^{2}}{\left (x -y\right )^{2}}-\frac {1}{x}+\left (\frac {1}{y}-\frac {x^{2}}{\left (x -y\right )^{2}}\right ) y^{\prime } = 0
\]
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| \[
{} 6 x y^{2}+4 x^{3}+3 \left (2 x^{2} y+y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} \frac {x}{\left (x +y\right )^{2}}+\frac {\left (y+2 x \right ) y^{\prime }}{\left (x +y\right )^{2}} = 0
\]
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| \[
{} \frac {1}{x^{2}}+\frac {3 y^{2}}{x^{4}} = \frac {2 y y^{\prime }}{x^{3}}
\]
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| \[
{} \frac {x^{2} y^{\prime }}{\left (x -y\right )^{2}}-\frac {y^{2}}{\left (x -y\right )^{2}} = 0
\]
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| \[
{} y y^{\prime }+x = \frac {y}{x^{2}+y^{2}}-\frac {x y^{\prime }}{x^{2}+y^{2}}
\]
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| \[
{} y = 2 x y^{\prime }+{y^{\prime }}^{2}
\]
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| \[
{} y = x {y^{\prime }}^{2}+{y^{\prime }}^{2}
\]
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| \[
{} y = \left (1+y^{\prime }\right ) x +{y^{\prime }}^{2}
\]
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| \[
{} y = y {y^{\prime }}^{2}+2 x y^{\prime }
\]
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| \[
{} y = y y^{\prime }+y^{\prime }-{y^{\prime }}^{2}
\]
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| \[
{} y = x y^{\prime }+\sqrt {1-{y^{\prime }}^{2}}
\]
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| \[
{} y = x y^{\prime }+y^{\prime }
\]
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| \[
{} y = x y^{\prime }+\frac {1}{y^{\prime }}
\]
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| \[
{} y = x y^{\prime }-\frac {1}{{y^{\prime }}^{2}}
\]
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| \[
{} y^{\prime } = \frac {2 y}{x}-\sqrt {3}
\]
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| \[
{} \frac {x^{2} y^{\prime }}{\left (x -y\right )^{2}}-\frac {y^{2}}{\left (x -y\right )^{2}} = 0
\]
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| \[
{} y = x {y^{\prime }}^{2}+{y^{\prime }}^{2}
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime }-x y-\alpha = 0
\]
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| \[
{} x \cos \left (\frac {y}{x}\right ) y^{\prime } = y \cos \left (\frac {y}{x}\right )-x
\]
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| \[
{} x y^{\prime }-y^{2} \ln \left (x \right )+y = 0
\]
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| \[
{} 2 x +2 y-1+\left (x +y-2\right ) y^{\prime } = 0
\]
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| \[
{} 3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (-{\mathrm e}^{x}+1\right ) \sec \left (y\right )^{2} y^{\prime } = 0
\]
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| \[
{} y^{\prime } = x +y^{2}
\]
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| \[
{} y^{\prime }+\frac {y}{x} = {\mathrm e}^{x}
\]
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| \[
{} x y^{\prime }-y = 0
\]
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| \[
{} y^{\prime }+\frac {1}{2 y} = 0
\]
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| \[
{} y^{\prime }-\frac {y}{x} = 1
\]
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| \[
{} y^{\prime }-2 \sqrt {{| y|}} = 0
\]
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| \[
{} 2 x y+x^{2} y^{\prime } = 0
\]
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| \[
{} y^{\prime }-y^{2} = 1
\]
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| \[
{} x y^{\prime }-\sin \left (x \right ) = 0
\]
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| \[
{} y^{\prime }+3 y = 0
\]
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| \[
{} 2 x y^{\prime }-y = 0
\]
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| \[
{} {y^{\prime }}^{2}-4 y = 0
\]
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| \[
{} {y^{\prime }}^{2}-9 x y = 0
\]
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| \[
{} {y^{\prime }}^{2} = x^{6}
\]
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| \[
{} y^{\prime }-2 x y = 0
\]
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| \[
{} y^{\prime }+y = x^{2}+2 x -1
\]
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| \[
{} y^{\prime } = x \sqrt {y}
\]
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| \[
{} y^{\prime } = 3 y^{{2}/{3}}
\]
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| \[
{} x \ln \left (x \right ) y^{\prime }-\left (\ln \left (x \right )+1\right ) y = 0
\]
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| \[
{} y^{\prime } = 1-x
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| \[
{} y^{\prime } = x -1
\]
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| \[
{} y^{\prime } = 1-y
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| \[
{} y^{\prime } = 1+y
\]
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| \[
{} y^{\prime } = y^{2}-4
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| \[
{} y^{\prime } = 4-y^{2}
\]
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| \[
{} y^{\prime } = x y
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| \[
{} y^{\prime } = -x y
\]
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| \[
{} y^{\prime } = x^{2}-y^{2}
\]
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| \[
{} y^{\prime } = -x^{2}+y^{2}
\]
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| \[
{} y^{\prime } = x +y
\]
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| \[
{} y^{\prime } = x y
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| \[
{} y^{\prime } = \frac {x}{y}
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| \[
{} y^{\prime } = \frac {y}{x}
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| \[
{} y^{\prime } = 1+y^{2}
\]
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| \[
{} y^{\prime } = y^{2}-3 y
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| \[
{} y^{\prime } = y^{3}+x^{3}
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| \[
{} y^{\prime } = {| y|}
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| \[
{} y^{\prime } = {\mathrm e}^{x -y}
\]
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| \[
{} y^{\prime } = \ln \left (x +y\right )
\]
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| \[
{} y^{\prime } = \frac {2 x -y}{3 y+x}
\]
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| \[
{} y^{\prime } = \frac {1}{\sqrt {15-x^{2}-y^{2}}}
\]
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| \[
{} y^{\prime } = \frac {3 y}{\left (x -5\right ) \left (x +3\right )}+{\mathrm e}^{-x}
\]
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| \[
{} y^{\prime } = \frac {x y}{x^{2}+y^{2}}
\]
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| \[
{} y^{\prime } = \frac {1}{x y}
\]
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| \[
{} y^{\prime } = \ln \left (y-1\right )
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| \[
{} y^{\prime } = \sqrt {\left (y+2\right ) \left (y-1\right )}
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| \[
{} y^{\prime } = \frac {y}{y-x}
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| \[
{} y^{\prime } = \frac {x}{y^{2}}
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| \[
{} y^{\prime } = \frac {\sqrt {y}}{x}
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| \[
{} y^{\prime } = \frac {x y}{1-y}
\]
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| \[
{} y^{\prime } = \left (x y\right )^{{1}/{3}}
\]
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| \[
{} y^{\prime } = \sqrt {\frac {y-4}{x}}
\]
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| \[
{} y^{\prime } = -\frac {y}{x}+y^{{1}/{4}}
\]
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| \[
{} y^{\prime } = 4 y-5
\]
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| \[
{} y^{\prime }+3 y = 1
\]
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| \[
{} y^{\prime } = a y+b
\]
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| \[
{} y^{\prime } = x^{2}+{\mathrm e}^{x}-\sin \left (x \right )
\]
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| \[
{} y^{\prime } = x y+\frac {1}{x^{2}+1}
\]
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| \[
{} y^{\prime } = \cos \left (x \right )+\frac {y}{x}
\]
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| \[
{} y^{\prime } = \frac {y}{x}+\tan \left (x \right )
\]
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| \[
{} y^{\prime } = \frac {y}{-x^{2}+4}+\sqrt {x}
\]
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| \[
{} y^{\prime } = \frac {y}{-x^{2}+4}+\sqrt {x}
\]
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| \[
{} y^{\prime } = y \cot \left (x \right )+\csc \left (x \right )
\]
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| \[
{} y^{\prime } = -x \sqrt {1-y^{2}}
\]
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| \[
{} y^{\prime } = -\frac {x}{2}+\frac {\sqrt {x^{2}+4 y}}{2}
\]
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| \[
{} y^{\prime } = 3 x +1
\]
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| \[
{} y^{\prime } = x +\frac {1}{x}
\]
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| \[
{} y^{\prime } = 2 \sin \left (x \right )
\]
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| \[
{} y^{\prime } = x \sin \left (x \right )
\]
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| \[
{} y^{\prime } = \frac {1}{x -1}
\]
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| \[
{} y^{\prime } = \frac {1}{x -1}
\]
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| \[
{} y^{\prime } = \frac {1}{x^{2}-1}
\]
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