| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 2 x y^{\prime }+y = 2 x^{{5}/{2}}
\]
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| \[
{} \cos \left (x \right ) y^{\prime }+y = \cos \left (x \right )^{2}
\]
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| \[
{} y^{\prime }+\frac {y}{\sqrt {x^{2}+1}} = \frac {1}{x +\sqrt {x^{2}+1}}
\]
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| \[
{} \left ({\mathrm e}^{x}+1\right ) y^{\prime }+2 y \,{\mathrm e}^{x} = \left ({\mathrm e}^{x}+1\right ) {\mathrm e}^{x}
\]
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| \[
{} x \ln \left (x \right ) y^{\prime }+y = \ln \left (x \right )
\]
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| \[
{} y^{\prime } \left (-x^{2}+1\right ) = x y+2 x \sqrt {-x^{2}+1}
\]
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| \[
{} y^{\prime }+y \tanh \left (x \right ) = 2 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime }+y \cos \left (x \right ) = \sin \left (2 x \right )
\]
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| \[
{} x^{\prime } = \cos \left (y \right )-x \tan \left (y \right )
\]
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| \[
{} x^{\prime }+x-{\mathrm e}^{y} = 0
\]
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| \[
{} x^{\prime } = \frac {3 y^{{2}/{3}}-x}{3 y}
\]
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| \[
{} y^{\prime }+y = x y^{{2}/{3}}
\]
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| \[
{} y^{\prime }+\frac {y}{x} = 2 x^{{3}/{2}} \sqrt {y}
\]
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| \[
{} 3 x y^{2} y^{\prime }+3 y^{3} = 1
\]
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| \[
{} 2 x \,{\mathrm e}^{3 y}+{\mathrm e}^{x}+\left (3 x^{2} {\mathrm e}^{3 y}-y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} \left (x -y\right ) y^{\prime }+x +y+1 = 0
\]
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| \[
{} \cos \left (x \right ) \cos \left (y\right )+\sin \left (x \right )^{2}-\left (\sin \left (x \right ) \sin \left (y\right )+\cos \left (y\right )^{2}\right ) y^{\prime } = 0
\]
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| \[
{} x^{2} y^{\prime }+y^{2}-x y = 0
\]
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| \[
{} y y^{\prime } = \sqrt {x^{2}+y^{2}}-x
\]
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| \[
{} x y+\left (-x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} y^{2}-x y+\left (x^{2}+x y\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \cos \left (x +y\right )
\]
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| \[
{} y^{\prime } = \frac {y}{x}-\tan \left (\frac {y}{x}\right )
\]
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| \[
{} \left (x -1\right ) y^{\prime }+y-\frac {1}{x^{2}}+\frac {2}{x^{3}} = 0
\]
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| \[
{} y^{\prime } = x y^{2}-\frac {2 y}{x}-\frac {1}{x^{3}}
\]
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| \[
{} y^{\prime } = \frac {2 y^{2}}{x}+\frac {y}{x}-2 x
\]
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| \[
{} y^{\prime } = y^{2} {\mathrm e}^{-x}+y-{\mathrm e}^{x}
\]
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| \[
{} x^{2} y^{\prime }-x y = \frac {1}{x}
\]
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| \[
{} x \ln \left (y\right ) y^{\prime }-y \ln \left (x \right ) = 0
\]
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| \[
{} 2 x -y \sin \left (2 x \right ) = \left (\sin \left (x \right )^{2}-2 y\right ) y^{\prime }
\]
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| \[
{} 3 x^{3} y^{2} y^{\prime }-x^{2} y^{3} = 1
\]
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| \[
{} y^{\prime }-2 y-y^{2} {\mathrm e}^{3 x} = 0
\]
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| \[
{} u \left (-v +1\right )+v^{2} \left (1-u\right ) u^{\prime } = 0
\]
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| \[
{} y+2 x -x y^{\prime } = 0
\]
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| \[
{} \left (y+2 x \right ) y^{\prime }-x +2 y = 0
\]
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| \[
{} \left (x \cos \left (y\right )-{\mathrm e}^{-\sin \left (y\right )}\right ) y^{\prime }+1 = 0
\]
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| \[
{} \sin \left (x \right )^{2} y^{\prime }+\sin \left (x \right )^{2}+\left (x +y\right ) \sin \left (2 x \right ) = 0
\]
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| \[
{} y^{\prime }+x y = \frac {x}{y}
\]
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| \[
{} \sin \left (\theta \right ) \cos \left (\theta \right ) r^{\prime }-\sin \left (\theta \right )^{2} = r \cos \left (\theta \right )^{2}
\]
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| \[
{} 3 x^{2} y+x^{3} y^{\prime } = 0
\]
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| \[
{} x y^{\prime }-y = x^{2}
\]
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| \[
{} x y^{\prime } = x y+y
\]
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| \[
{} y^{\prime } = 3 x^{2} y
\]
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| \[
{} x y^{\prime } = y
\]
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| \[
{} y^{\prime }-\sin \left (x +y\right ) = 0
\]
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| \[
{} y^{\prime } = 4 y^{2}-3 y+1
\]
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| \[
{} s^{\prime } = t \ln \left (s^{2 t}\right )+8 t^{2}
\]
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| \[
{} y^{\prime } = \frac {y \,{\mathrm e}^{x +y}}{x^{2}+2}
\]
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| \[
{} \left (x y^{2}+3 y^{2}\right ) y^{\prime }-2 x = 0
\]
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| \[
{} s^{2}+s^{\prime } = \frac {s+1}{s t}
\]
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| \[
{} x y^{\prime } = \frac {1}{y^{3}}
\]
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| \[
{} x^{\prime } = 3 x t^{2}
\]
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| \[
{} x^{\prime } = \frac {t \,{\mathrm e}^{-t -2 x}}{x}
\]
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| \[
{} y^{\prime } = \frac {x}{y^{2} \sqrt {1+x}}
\]
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| \[
{} x v^{\prime } = \frac {1-4 v^{2}}{3 v}
\]
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| \[
{} y^{\prime } = \frac {\sec \left (y\right )^{2}}{x^{2}+1}
\]
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| \[
{} y^{\prime } = 3 x^{2} \left (1+y^{2}\right )^{{3}/{2}}
\]
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| \[
{} x^{\prime }-x^{3} = x
\]
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| \[
{} x +x y^{2}+{\mathrm e}^{x^{2}} y y^{\prime } = 0
\]
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| \[
{} \frac {y^{\prime }}{y}+y \,{\mathrm e}^{\cos \left (x \right )} \sin \left (x \right ) = 0
\]
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| \[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (x \right )
\]
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| \[
{} y^{\prime } = x^{3} \left (1-y\right )
\]
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| \[
{} \frac {y^{\prime }}{2} = \sqrt {1+y}\, \cos \left (x \right )
\]
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| \[
{} x^{2} y^{\prime } = \frac {4 x^{2}-x -2}{\left (1+x \right ) \left (1+y\right )}
\]
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| \[
{} \frac {y^{\prime }}{\theta } = \frac {y \sin \left (\theta \right )}{y^{2}+1}
\]
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| \[
{} x^{2}+2 y y^{\prime } = 0
\]
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| \[
{} y^{\prime } = 2 t \cos \left (y\right )^{2}
\]
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| \[
{} y^{\prime } = 8 x^{3} {\mathrm e}^{-2 y}
\]
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| \[
{} y^{\prime } = x^{2} \left (1+y\right )
\]
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| \[
{} \sqrt {y}+y^{\prime } \left (1+x \right ) = 0
\]
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| \[
{} y^{\prime } = {\mathrm e}^{x^{2}}
\]
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| \[
{} y^{\prime } = \frac {{\mathrm e}^{x^{2}}}{y^{2}}
\]
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| \[
{} y^{\prime } = \sqrt {\sin \left (x \right )+1}\, \left (1+y^{2}\right )
\]
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| \[
{} y^{\prime } = 2 y-2 t y
\]
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| \[
{} y^{\prime } = y^{{1}/{3}}
\]
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| \[
{} y^{\prime } = y^{{1}/{3}}
\]
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| \[
{} y^{\prime } = \left (x -3\right ) \left (1+y\right )^{{2}/{3}}
\]
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| \[
{} y^{\prime } = x y^{3}
\]
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| \[
{} y^{\prime } = x y^{3}
\]
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| \[
{} y^{\prime } = x y^{3}
\]
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| \[
{} y^{\prime } = x y^{3}
\]
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| \[
{} y^{\prime } = y^{2}-3 y+2
\]
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| \[
{} x^{2} y^{\prime }+\sin \left (x \right )-y = 0
\]
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| \[
{} x^{\prime }+t x = {\mathrm e}^{x}
\]
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| \[
{} \left (t^{2}+1\right ) y^{\prime } = t y-y
\]
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| \[
{} 3 t = {\mathrm e}^{t} y^{\prime }+y \ln \left (t \right )
\]
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| \[
{} x x^{\prime }+x t^{2} = \sin \left (t \right )
\]
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| \[
{} 3 r = r^{\prime }-\theta ^{3}
\]
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| \[
{} y^{\prime }-y-{\mathrm e}^{3 x} = 0
\]
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| \[
{} y^{\prime } = \frac {y}{x}+2 x +1
\]
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| \[
{} r^{\prime }+r \tan \left (\theta \right ) = \sec \left (\theta \right )
\]
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| \[
{} x y^{\prime }+2 y = \frac {1}{x^{3}}
\]
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| \[
{} t +y+1-y^{\prime } = 0
\]
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| \[
{} y^{\prime } = x^{2} {\mathrm e}^{-4 x}-4 y
\]
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| \[
{} y x^{\prime }+2 x = 5 y^{3}
\]
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| \[
{} x y^{\prime }+3 y+3 x^{2} = \frac {\sin \left (x \right )}{x}
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime }+x y-x = 0
\]
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| \[
{} y^{\prime } \left (-x^{2}+1\right )-x^{2} y = \left (1+x \right ) \sqrt {-x^{2}+1}
\]
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| \[
{} y^{\prime }-\frac {y}{x} = x \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime }+4 y-{\mathrm e}^{-x} = 0
\]
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