| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{\prime } = \frac {x}{t}
\]
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| \[
{} y^{\prime } \left (-x^{2}+1\right ) = 1-y^{2}
\]
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| \[
{} \frac {\tan \left (y\right )}{\cos \left (x \right )} = \cos \left (x \right ) y^{\prime }
\]
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| \[
{} x y^{\prime } = \left (1+x \right ) y^{2}
\]
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| \[
{} x \cos \left (y\right ) y^{\prime }-\left (x^{2}+1\right ) \sin \left (y\right ) = 0
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime } = x \left (y-1\right )
\]
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| \[
{} x \left (y+2\right )+y \left (x +2\right ) y^{\prime } = 0
\]
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| \[
{} x y \left (x^{2}+1\right ) y^{\prime }-y^{2} = 1
\]
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| \[
{} x y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime }+y-1 = 0
\]
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| \[
{} y-x y^{\prime } = 3 y^{2} y^{\prime }
\]
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| \[
{} 2 x y+x^{2} y^{\prime } = 0
\]
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| \[
{} x \cos \left (y\right ) y^{\prime }+\sin \left (y\right ) = 5
\]
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| \[
{} y^{\prime } = \frac {\sin \left (x \right ) \sin \left (y\right )}{\cos \left (x \right ) \cos \left (y\right )}
\]
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| \[
{} x \sec \left (y\right )^{2} y^{\prime }+1+\tan \left (y\right ) = 0
\]
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| \[
{} {\mathrm e}^{y} \left (x y^{\prime }+1\right ) = 5
\]
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| \[
{} {\mathrm e}^{x} \left (y^{\prime }+y\right ) = 3
\]
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| \[
{} \frac {y}{x}+\ln \left (x \right ) y^{\prime } = 2
\]
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| \[
{} y^{\prime } = \frac {x -y}{x +y}
\]
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| \[
{} y^{\prime } = 1+\frac {y}{x}
\]
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| \[
{} y^{\prime } = \frac {x^{2}+y^{2}}{x y}
\]
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| \[
{} y^{\prime } = \frac {y}{x}-\frac {x}{y}
\]
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| \[
{} y^{\prime } = \frac {x -y+1}{x +y+1}
\]
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| \[
{} y^{\prime } = \frac {x -y+2}{1+x}
\]
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| \[
{} y^{\prime } = \frac {x +y+2}{1+x}
\]
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| \[
{} y^{\prime }+3 y = 5
\]
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| \[
{} y^{\prime }+2 x y = x
\]
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| \[
{} y^{\prime }-2 x y = 3 x
\]
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| \[
{} y^{\prime }+7 y = {\mathrm e}^{5 x}
\]
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| \[
{} y^{\prime }-6 y = {\mathrm e}^{6 t}
\]
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| \[
{} y^{\prime }-6 y = {\mathrm e}^{6 t}
\]
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| \[
{} z^{\prime }-z \sin \left (x \right ) = {\mathrm e}^{-\cos \left (x \right )}
\]
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| \[
{} z^{\prime }-z \sin \left (x \right ) = {\mathrm e}^{-\cos \left (x \right )}
\]
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| \[
{} y^{\prime }-\frac {3 y}{x} = 5 x
\]
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| \[
{} y^{\prime }-\frac {6 y}{x} = 7 x
\]
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| \[
{} y^{\prime }-\sin \left (x \right ) y = \sin \left (x \right )
\]
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| \[
{} y^{\prime }+y \tan \left (x \right ) = \sec \left (x \right )
\]
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| \[
{} \left ({\mathrm e}^{x}+1\right ) y^{\prime }+y \,{\mathrm e}^{x} = {\mathrm e}^{x}
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime }+x y = \left (x^{2}+1\right )^{{3}/{2}}
\]
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| \[
{} p^{\prime } = 15-20 p
\]
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| \[
{} n^{\prime } = k n-b t
\]
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| \[
{} x y^{\prime }-2 y \cos \left (x \right ) = {\mathrm e}^{x} \sin \left (x \right )^{3}
\]
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| \[
{} y^{\prime } \sin \left (x \right )+2 y \cos \left (x \right ) = 4 \cos \left (x \right )^{3}
\]
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| \[
{} y^{\prime } = \frac {x y+a^{2}}{a^{2}-x^{2}}
\]
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| \[
{} y^{\prime }+\frac {y \ln \left (x \right )}{x} = 2
\]
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| \[
{} y^{\prime }+4 y = {\mathrm e}^{k x}
\]
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| \[
{} \cos \left (x \right ) y^{\prime }+\sin \left (x \right ) y = x
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| \[
{} v^{\prime } = 60 t -4 v
\]
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| \[
{} r^{\prime } = -a \sin \left (\theta \right )
\]
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| \[
{} \frac {r^{\prime }}{r} = \tan \left (\theta \right )
\]
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| \[
{} \left (1+\cos \left (\theta \right )\right ) r^{\prime } = -r \sin \left (\theta \right )
\]
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| \[
{} \cot \left (\theta \right ) r^{\prime } = r+b
\]
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| \[
{} r r^{\prime } = a
\]
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| \[
{} r^{\prime } \left (1+\frac {\cos \left (\theta \right )}{2}\right )-r \sin \left (\theta \right ) = 0
\]
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{} \sin \left (\theta \right )^{2} r^{\prime } = -b \cos \left (\theta \right )
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| \[
{} r^{\prime } = 0
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| \[
{} r^{\prime } = c
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| \[
{} r^{\prime } \left (\sin \left (\theta \right )-m \cos \left (\theta \right )\right )+r \left (\cos \left (\theta \right )+m \sin \left (\theta \right )\right ) = 0
\]
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| \[
{} y^{\prime }+y = 0
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| \[
{} y^{\prime }-y = 0
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| \[
{} y^{\prime } = \sqrt {y}
\]
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| \[
{} y^{\prime }-2 y = \left (1-x \right ) {\mathrm e}^{x}
\]
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| \[
{} y y^{\prime }-y^{2} = x^{2}
\]
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| \[
{} y^{\prime } = \frac {x^{2}+y^{2}}{2 x y}
\]
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| \[
{} y^{\prime } = -\frac {x^{2}+y^{2}}{2 x y}
\]
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| \[
{} y^{\prime }+x y = 3
\]
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| \[
{} x y^{\prime }+y = 3
\]
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| \[
{} y^{\prime } = \frac {x -y}{x +y}
\]
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| \[
{} y^{\prime } = \sqrt {y}
\]
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| \[
{} y^{\prime } = y^{{2}/{3}}
\]
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| \[
{} y^{\prime } = \frac {x -y}{x +y}
\]
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| \[
{} x y^{\prime }+\frac {y}{2 x +3} = \ln \left (x -2\right )
\]
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| \[
{} x^{\prime } = \frac {a x^{{5}/{6}}}{\left (-B t +b \right )^{{3}/{2}}}
\]
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| \[
{} x y^{\prime }-y = 1
\]
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| \[
{} y^{\prime }-x y = -x^{2}+1
\]
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| \[
{} x y^{\prime }+y^{2} = 1
\]
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| \[
{} y^{\prime } = y-x
\]
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| \[
{} y^{\prime } = x y
\]
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| \[
{} y^{\prime } = x^{2}+y^{2}
\]
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| \[
{} x y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} x^{2}+y^{2}-2 y y^{\prime } x = 0
\]
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| \[
{} y^{\prime } = \sqrt {y}
\]
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| \[
{} x y^{\prime }+y = 3
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| \[
{} y^{\prime }+x y = 3
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| \[
{} p^{\prime } = a p-b p^{2}
\]
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| \[
{} x y^{\prime }-\frac {y}{\ln \left (x \right )} = x y^{2}
\]
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| \[
{} y y^{\prime } = y+x^{2}
\]
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| \[
{} y^{\prime } = x -x y-y+1
\]
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| \[
{} 3 x y+\left (x^{2}+4\right ) y^{\prime } = 0
\]
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| \[
{} \cos \left (x \right ) \sin \left (y\right ) y^{\prime }-\cos \left (x \right ) \cos \left (y\right )-\cos \left (x \right ) = 0
\]
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| \[
{} y y^{\prime } = y^{2} x^{3}+x y^{2}
\]
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| \[
{} y^{4}+\left (x^{2}-3 y\right ) y^{\prime } = 0
\]
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| \[
{} \left (1+y^{2}\right ) \cos \left (x \right ) = 2 \left (1+\sin \left (x \right )^{2}\right ) y y^{\prime }
\]
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| \[
{} y^{\prime } = \frac {y \left (b_{2} x +b_{1} \right )}{x \left (a_{1} +a_{2} y\right )}
\]
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| \[
{} x^{\prime } = k \left (a -x\right ) \left (b -x\right )
\]
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| \[
{} y^{\prime } = \frac {\left (a -x \right ) y}{d \,x^{2}+c x +b}
\]
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| \[
{} x y^{\prime }+y = 3
\]
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| \[
{} x y^{\prime }+y = 3 x
\]
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| \[
{} x^{2}+y^{2}-2 y y^{\prime } x = 0
\]
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| \[
{} x y^{\prime }+\left (1+x \right ) y = 0
\]
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