| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{2} y^{\prime }-y = 0
\]
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| \[
{} x y^{\prime }+\left (1+x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-\left (3 x^{4}+5 x \right ) y^{\prime }+\left (6 x^{3}+5\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+x^{2} y^{\prime }+2 x y = x^{3}-x +3
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (x^{2}-5 x \right ) y^{\prime }+\left (5-6 x \right ) y = 0
\]
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| \[
{} x y^{2}+{\mathrm e}^{x} y^{\prime } = 0
\]
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| \[
{} \left (2 a^{2}-r^{2}\right ) r^{\prime } = r^{3} \sin \left (\theta \right )
\]
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| \[
{} x +\sin \left (\frac {y}{x}\right )^{2} \left (y-x y^{\prime }\right ) = 0
\]
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| \[
{} t \left (s^{2}+t^{2}\right ) s^{\prime }-s \left (s^{2}-t^{2}\right ) = 0
\]
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| \[
{} x -y+\left (3 x +y\right ) y^{\prime } = 0
\]
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| \[
{} y-\sqrt {x^{2}+y^{2}}-x y^{\prime } = 0
\]
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| \[
{} y+\sqrt {x^{2}+y^{2}}-x y^{\prime } = 0
\]
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| \[
{} x \cos \left (\frac {y}{x}\right )^{2}-y+x y^{\prime } = 0
\]
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| \[
{} y^{2}+7 x y+16 x^{2}+x^{2} y^{\prime } = 0
\]
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| \[
{} x y+2 \left (x^{2}+2 y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} y \left (2 x^{2}-x y+y^{2}\right )-x^{2} \left (2 x -y\right ) y^{\prime } = 0
\]
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| \[
{} 16 x +15 y+\left (3 x +y\right ) y^{\prime } = 0
\]
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| \[
{} -2 x y+\left (3 x^{2}-2 y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} 6 x +y^{2}+y \left (2 x -3 y\right ) y^{\prime } = 0
\]
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| \[
{} 2 x y-3 x^{2}+\left (y+x^{2}\right ) y^{\prime } = 0
\]
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| \[
{} y^{2}-2 x y+6 x -\left (x^{2}-2 x y+2\right ) y^{\prime } = 0
\]
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| \[
{} v \left (2 u v^{2}-3\right )+\left (3 u^{2} v^{2}-3 u +4 v\right ) v^{\prime } = 0
\]
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| \[
{} \cos \left (2 y\right )-3 x^{2} y^{2}+\left (\cos \left (2 y\right )-2 x \sin \left (2 y\right )-2 x^{3} y\right ) y^{\prime } = 0
\]
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| \[
{} w^{3}+w z^{2}-z+\left (z^{3}+w^{2} z-w \right ) z^{\prime } = 0
\]
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| \[
{} 2 x y-\tan \left (y\right )+\left (x^{2}-x \sec \left (y\right )^{2}\right ) y^{\prime } = 0
\]
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| \[
{} x +\sin \left (y\right )-\cos \left (y\right )-x \cos \left (y\right ) \left (2 x \sin \left (y\right )+1\right ) y^{\prime } = 0
\]
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| \[
{} \left (6+3 x y-4 y^{3}\right ) x +\left (x^{3}-6 x^{2} y^{2}-1\right ) y^{\prime } = 0
\]
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| \[
{} \sin \left (y\right )-2 x \cos \left (y\right )^{2}+x \cos \left (y\right ) \left (2 x \sin \left (y\right )+1\right ) y^{\prime } = 0
\]
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| \[
{} 2 x +y \cos \left (x y\right )+x \cos \left (x y\right ) y^{\prime } = 0
\]
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| \[
{} 2 x y+\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} \frac {1}{\left (1-x y\right )^{2}}+\left (y^{2}+\frac {x^{2}}{\left (1-x y\right )^{2}}\right ) y^{\prime } = 0
\]
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| \[
{} y \,{\mathrm e}^{x y}-2 y^{3}+\left (x \,{\mathrm e}^{x y}-6 x y^{2}-2 y\right ) y^{\prime } = 0
\]
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| \[
{} y \left (y^{3}-x \right )+x \left (y^{3}+x \right ) y^{\prime } = 0
\]
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| \[
{} y \left (x^{4}-y^{2}\right )+x \left (x^{4}+y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} \left (x^{3}-y^{5}\right ) y-x \left (x^{3}+y^{5}\right ) y^{\prime } = 0
\]
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| \[
{} \left (-y^{2}+x^{2}+1\right ) y-x \left (-y^{2}+x^{2}-1\right ) y^{\prime } = 0
\]
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| \[
{} x^{3}+x y^{2}+y+\left (y^{3}+x^{2} y+x \right ) y^{\prime } = 0
\]
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| \[
{} y \left (y^{2}+x^{2}-1\right )+x \left (x^{2}+y^{2}+1\right ) y^{\prime } = 0
\]
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| \[
{} x^{3}+x y^{2}-y+\left (y^{3}+x^{2} y+x \right ) y^{\prime } = 0
\]
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| \[
{} y \left (x^{3} {\mathrm e}^{x y}-y\right )+x \left (y+x^{3} {\mathrm e}^{x y}\right ) y^{\prime } = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{2}+x \left (x^{2} y^{2}+2 x +y\right ) y^{\prime } = 0
\]
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| \[
{} \left (x^{2} y^{2}-1\right ) y+x \left (x^{2} y+2 x +y\right ) y^{\prime } = 0
\]
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| \[
{} x^{4} y^{\prime } = -x^{3} y-\csc \left (x y\right )
\]
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| \[
{} 1+y \tan \left (x y\right )+x \tan \left (x y\right ) y^{\prime } = 0
\]
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| \[
{} x \left (x^{2}-y^{2}-x \right )-y \left (x^{2}-y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} y \left (x^{3} y^{3}+2 x^{2}-y\right )+x^{3} \left (x y^{3}-2\right ) y^{\prime } = 0
\]
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| \[
{} x^{n} y^{n +1}+a y+\left (x^{n +1} y^{n}+b x \right ) y^{\prime } = 0
\]
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| \[
{} x^{n +1} y^{n}+a y+\left (x^{n} y^{n +1}+a x \right ) y^{\prime } = 0
\]
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| \[
{} y-2+\left (3 x -y\right ) y^{\prime } = 0
\]
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| \[
{} x^{3}+y^{3}+y^{2} \left (3 x +k y\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } = \sec \left (x \right )^{2} \sec \left (y\right )^{3}
\]
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| \[
{} \left (2 x^{3}-x^{2} y+y^{3}\right ) y-x \left (y^{3}+2 x^{3}\right ) y^{\prime } = 0
\]
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| \[
{} x^{\prime } = \cos \left (x\right ) \cos \left (t \right )^{2}
\]
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| \[
{} \left (x \cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime }-\sin \left (x \right ) y+\sin \left (y\right ) = 0
\]
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| \[
{} 3-2 x y-\left (x^{2}+\frac {1}{y^{2}}+\frac {1}{y}\right ) y^{\prime } = 0
\]
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| \[
{} y-\sin \left (x \right )^{2}+y^{\prime } \sin \left (x \right ) = 0
\]
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| \[
{} x -y+\left (3 x +y\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime } \sqrt {-x^{2}+1}+\sqrt {1-y^{2}} = 0
\]
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| \[
{} y^{\prime } \sqrt {-x^{2}+1}+\sqrt {1-y^{2}} = 0
\]
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| \[
{} \sqrt {1-y^{2}}-y^{\prime } \sqrt {-x^{2}+1} = 0
\]
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| \[
{} \sqrt {1-y^{2}}-y^{\prime } \sqrt {-x^{2}+1} = 0
\]
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| \[
{} v-\left ({\mathrm e}^{v}+2 u v-2 u \right ) v^{\prime } = 0
\]
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| \[
{} y \left (y \,{\mathrm e}^{x y}+1\right )+\left (x y \,{\mathrm e}^{x y}+{\mathrm e}^{x y}+x \right ) y^{\prime } = 0
\]
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| \[
{} x^{2}-2 x y-y^{2}-\left (x^{2}+2 x y-y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} -x^{3}+y^{3} = x y \left (y y^{\prime }+x \right )
\]
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| \[
{} y \left (x^{2} y^{2}+x^{2}+y^{2}\right )+x \left (x^{2}+y^{2}-x^{2} y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} x y+\left (x^{2}-3 y\right ) y^{\prime } = 0
\]
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| \[
{} \left (3 \tan \left (x \right )-2 \cos \left (y\right )\right ) \sec \left (x \right )^{2}+\tan \left (x \right ) \sin \left (y\right ) y^{\prime } = 0
\]
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| \[
{} \cos \left (y\right ) \sin \left (2 x \right )+\left (\cos \left (y\right )^{2}-\cos \left (x \right )^{2}\right ) y^{\prime } = 0
\]
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| \[
{} k \,{\mathrm e}^{2 v}-u -2 \,{\mathrm e}^{2 v} \left ({\mathrm e}^{2 v}+k u \right ) v^{\prime } = 0
\]
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| \[
{} 2 x -y+\left (4 x +y-6\right ) y^{\prime } = 0
\]
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| \[
{} x +y-4-\left (3 x -y-4\right ) y^{\prime } = 0
\]
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| \[
{} x +y-4-\left (3 x -y-4\right ) y^{\prime } = 0
\]
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| \[
{} x^{2}+y^{2}+1+x \left (x -2 y\right ) y^{\prime } = 0
\]
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| \[
{} 2 y \left (x^{2}-y+x \right )+\left (x^{2}-2 y\right ) y^{\prime } = 0
\]
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| \[
{} y \left (1+2 x -y\right )+x \left (3 x -4 y+3\right ) y^{\prime } = 0
\]
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| \[
{} y \left (4 x +y\right )-2 \left (-y+x^{2}\right ) y^{\prime } = 0
\]
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| \[
{} x y+1+x \left (x +4 y-2\right ) y^{\prime } = 0
\]
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| \[
{} 2 y^{2}+3 x y-2 y+6 x +x \left (x +2 y-1\right ) y^{\prime } = 0
\]
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| \[
{} 4 y^{2}+10 x y-4 y+8+x \left (2 x +2 y-1\right ) y^{\prime } = 0
\]
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| \[
{} 3 y^{2}+3 x^{2}+x \left (x^{2}+3 y^{2}+6 y\right ) y^{\prime } = 0
\]
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| \[
{} y \left (2 x^{2}-x y+1\right )+\left (x -y\right ) y^{\prime } = 0
\]
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| \[
{} y^{3}+y+1+x \left (x -3 y^{2}-1\right ) y^{\prime } = 0
\]
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| \[
{} y^{3} \sec \left (x \right )^{2}-\left (1-2 y^{2} \tan \left (x \right )\right ) y^{\prime } = 0
\]
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| \[
{} x^{3} y+\left (3 x^{4}-y^{3}\right ) y^{\prime } = 0
\]
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| \[
{} a_{1} x +k y+c_{1} +\left (k x +b_{2} y+c_{2} \right ) y^{\prime } = 0
\]
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| \[
{} \left (x +2 y+1\right ) y^{\prime }+7+x -4 y = 0
\]
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| \[
{} x -6 y+2+2 \left (x +2 y+2\right ) y^{\prime } = 0
\]
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| \[
{} x -3 y+3+\left (3 x +y+9\right ) y^{\prime } = 0
\]
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| \[
{} 4 y^{\prime \prime \prime }-27 y^{\prime }+27 y = 0
\]
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| \[
{} y^{\prime \prime }+y = x^{3}
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \frac {{\mathrm e}^{2 x}}{{\mathrm e}^{2 x}+1}
\]
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| \[
{} y^{\prime \prime }-5 y^{\prime }+4 y = \frac {6}{1+{\mathrm e}^{-2 x}}
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = \frac {1}{\left (-1+{\mathrm e}^{x}\right )^{2}}
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = \frac {1}{\left ({\mathrm e}^{x}+1\right )^{2}}
\]
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| \[
{} [y^{\prime }\left (x \right )-2 y \left (x \right )-v^{\prime }\left (x \right )-v \left (x \right ) = 6 \,{\mathrm e}^{3 x}, 2 y^{\prime }\left (x \right )-3 y \left (x \right )+v^{\prime }\left (x \right )-3 v \left (x \right ) = 6 \,{\mathrm e}^{3 x}]
\]
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| \[
{} \left (x^{2}+y^{2}\right )^{2} {y^{\prime }}^{2} = 4 x^{2} y^{2}
\]
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| \[
{} x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0
\]
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| \[
{} {y^{\prime }}^{2}-x y^{\prime }-y = 0
\]
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