| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime } = x \left (-y+x^{2}\right )
\]
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| \[
{} y^{\prime } = x \left ({\mathrm e}^{-x^{2}}+a y\right )
\]
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| \[
{} y^{\prime } = x^{2} \left (a \,x^{3}+b y\right )
\]
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| \[
{} y^{\prime } = a \,x^{n} y
\]
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| \[
{} y^{\prime } = \cos \left (x \right ) \sin \left (x \right )+y \cos \left (x \right )
\]
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{} y^{\prime } = \cos \left (x \right ) \sin \left (x \right )-y \cos \left (x \right )
\]
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| \[
{} y^{\prime } = {\mathrm e}^{\sin \left (x \right )}+y \cos \left (x \right )
\]
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| \[
{} y^{\prime } = {\mathrm e}^{-\sin \left (x \right )}+y \cos \left (x \right )
\]
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| \[
{} y^{\prime } = {\mathrm e}^{\sin \left (x \right )}-y \cos \left (x \right )
\]
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| \[
{} y^{\prime } = {\mathrm e}^{-\sin \left (x \right )}-y \cos \left (x \right )
\]
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| \[
{} y^{\prime } = y \cot \left (x \right )
\]
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| \[
{} y^{\prime } = 1-y \cot \left (x \right )
\]
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| \[
{} y^{\prime } = x \csc \left (x \right )-y \cot \left (x \right )
\]
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| \[
{} y^{\prime } = \left (2 \csc \left (2 x \right )+\cot \left (x \right )\right ) y
\]
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| \[
{} y^{\prime } = \sec \left (x \right )-y \cot \left (x \right )
\]
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| \[
{} y^{\prime } = {\mathrm e}^{x} \sin \left (x \right )+y \cot \left (x \right )
\]
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| \[
{} y^{\prime }+\csc \left (x \right )+2 y \cot \left (x \right ) = 0
\]
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| \[
{} y^{\prime } = 2 \csc \left (2 x \right ) \sec \left (x \right )^{2}-2 y \cot \left (2 x \right )
\]
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| \[
{} y^{\prime } = 2 \cot \left (x \right )^{2} \cos \left (2 x \right )-2 y \csc \left (2 x \right )
\]
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| \[
{} y^{\prime } = 2 \csc \left (2 x \right ) \left (\sin \left (x \right )^{3}+y\right )
\]
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| \[
{} y^{\prime } = 2 \csc \left (2 x \right ) \left (1-\tan \left (x \right )^{2}+y\right )
\]
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| \[
{} y^{\prime } = y \sec \left (x \right )
\]
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| \[
{} y^{\prime }+\tan \left (x \right ) = \left (1-y\right ) \sec \left (x \right )
\]
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| \[
{} y^{\prime } = y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = \cos \left (x \right )+y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = \cos \left (x \right )-y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = \sec \left (x \right )-y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = \sin \left (2 x \right )+y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = \sin \left (2 x \right )-y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = \sin \left (x \right )+2 y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = 2+2 \sec \left (2 x \right )+2 y \tan \left (2 x \right )
\]
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| \[
{} y^{\prime } = \csc \left (x \right )+3 y \tan \left (x \right )
\]
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| \[
{} y^{\prime } = \left (a +\cos \left (\ln \left (x \right )\right )+\sin \left (\ln \left (x \right )\right )\right ) y
\]
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| \[
{} y^{\prime } = 6 \,{\mathrm e}^{2 x}-y \tanh \left (x \right )
\]
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| \[
{} y^{\prime } = f \left (x \right ) f^{\prime }\left (x \right )+f^{\prime }\left (x \right ) y
\]
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| \[
{} y^{\prime } = f \left (x \right ) f^{\prime }\left (x \right )-f^{\prime }\left (x \right ) y
\]
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| \[
{} y^{\prime } = f \left (x \right )+g \left (x \right ) y
\]
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| \[
{} y^{\prime } = x^{2}-y^{2}
\]
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| \[
{} y^{\prime }+f \left (x \right )^{2} = f^{\prime }\left (x \right )+y^{2}
\]
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| \[
{} y^{\prime }+1-x = y \left (x +y\right )
\]
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| \[
{} y^{\prime } = \left (x +y\right )^{2}
\]
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| \[
{} y^{\prime } = \left (x -y\right )^{2}
\]
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| \[
{} y^{\prime } = -3 x +3 y+3+\left (x -y\right )^{2}
\]
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| \[
{} y^{\prime } = 2 x -\left (x^{2}+1\right ) y+y^{2}
\]
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| \[
{} y^{\prime } = x \left (x^{3}+2\right )-\left (2 x^{2}-y\right ) y
\]
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| \[
{} y^{\prime } = 1+x \left (-x^{3}+2\right )+\left (2 x^{2}-y\right ) y
\]
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| \[
{} y^{\prime } = \cos \left (x \right )-\left (\sin \left (x \right )-y\right ) y
\]
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| \[
{} y^{\prime } = \cos \left (2 x \right )+\left (\sin \left (2 x \right )+y\right ) y
\]
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| \[
{} y^{\prime } = f \left (x \right )+x f \left (x \right ) y+y^{2}
\]
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| \[
{} y^{\prime } = \left (3+x -4 y\right )^{2}
\]
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| \[
{} y^{\prime } = \left (1+4 x +9 y\right )^{2}
\]
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| \[
{} y^{\prime } = 3 a +3 b x +3 b y^{2}
\]
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| \[
{} y^{\prime } = a +b y^{2}
\]
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| \[
{} y^{\prime } = a x +b y^{2}
\]
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| \[
{} y^{\prime } = a +b x +c y^{2}
\]
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| \[
{} y^{\prime } = a \,x^{n -1}+b \,x^{2 n}+c y^{2}
\]
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| \[
{} y^{\prime } = a \,x^{n}+b y^{2}
\]
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| \[
{} y^{\prime } = a_{0} +y a_{1} +a_{2} y^{2}
\]
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| \[
{} y^{\prime } = f \left (x \right )+a y+b y^{2}
\]
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| \[
{} y^{\prime } = 1+a \left (x -y\right ) y
\]
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| \[
{} y^{\prime } = f \left (x \right )+g \left (x \right ) y+a y^{2}
\]
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| \[
{} y^{\prime } = x y \left (3+y\right )
\]
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| \[
{} y^{\prime } = 1-x -x^{3}+\left (2 x^{2}+1\right ) y-x y^{2}
\]
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| \[
{} y^{\prime } = x \left (2+x^{2} y-y^{2}\right )
\]
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| \[
{} y^{\prime } = x +\left (1-2 x \right ) y-\left (1-x \right ) y^{2}
\]
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| \[
{} y^{\prime } = a x y^{2}
\]
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| \[
{} y^{\prime } = x^{n} \left (a +b y^{2}\right )
\]
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| \[
{} y^{\prime } = a \,x^{m}+b \,x^{n} y^{2}
\]
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| \[
{} y^{\prime } = \left (a +b y \cos \left (k x \right )\right ) y
\]
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| \[
{} y^{\prime } = \sin \left (x \right ) \left (2 \sec \left (x \right )^{2}-y^{2}\right )
\]
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| \[
{} y^{\prime }+4 \csc \left (x \right ) = \left (3-\cot \left (x \right )\right ) y+\sin \left (x \right ) y^{2}
\]
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| \[
{} y^{\prime } = y \sec \left (x \right )+\left (\sin \left (x \right )-1\right )^{2}
\]
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| \[
{} y^{\prime }+\tan \left (x \right ) \left (1-y^{2}\right ) = 0
\]
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| \[
{} y^{\prime } = f \left (x \right )+g \left (x \right ) y+h \left (x \right ) y^{2}
\]
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| \[
{} y^{\prime } = \left (a +b y+c y^{2}\right ) f \left (x \right )
\]
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| \[
{} y^{\prime }+\left (a x +y\right ) y^{2} = 0
\]
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| \[
{} y^{\prime } = \left (a \,{\mathrm e}^{x}+y\right ) y^{2}
\]
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| \[
{} y^{\prime }+3 a \left (y+2 x \right ) y^{2} = 0
\]
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| \[
{} y^{\prime } = y \left (a +b y^{2}\right )
\]
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| \[
{} y^{\prime } = a_{0} +y a_{1} +a_{2} y^{2}+a_{3} y^{3}
\]
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| \[
{} y^{\prime } = x y^{3}
\]
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| \[
{} y^{\prime }+y \left (1-x y^{2}\right ) = 0
\]
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| \[
{} y^{\prime } = \left (a +b x y\right ) y^{2}
\]
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| \[
{} y^{\prime }+2 x y \left (1+a \,x^{2} y^{2}\right ) = 0
\]
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| \[
{} y^{\prime }+2 x y \left (1-a \,x^{2} y^{2}\right ) = 0
\]
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| \[
{} y^{\prime }+\left (\tan \left (x \right )+y^{2} \sec \left (x \right )\right ) y = 0
\]
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| \[
{} y^{\prime }+y^{3} \sec \left (x \right ) \tan \left (x \right ) = 0
\]
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{} y^{\prime } = \left (\tan \left (x \right )+y^{3} \sec \left (x \right )\right ) y
\]
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| \[
{} y^{\prime } = a \,x^{\frac {n}{-n +1}}+b y^{n}
\]
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| \[
{} y^{\prime } = f \left (x \right ) y+g \left (x \right ) y^{k}
\]
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| \[
{} y^{\prime } = f \left (x \right )+g \left (x \right ) y+h \left (x \right ) y^{n}
\]
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| \[
{} y^{\prime } = \sqrt {{| y|}}
\]
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| \[
{} y^{\prime } = a +b y+\sqrt {A +B y}
\]
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| \[
{} y^{\prime } = a +b y-\sqrt {A +B y}
\]
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| \[
{} y^{\prime } = a x +b \sqrt {y}
\]
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| \[
{} y^{\prime }+x^{3} = x \sqrt {x^{4}+4 y}
\]
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| \[
{} y^{\prime }+2 y \left (1-x \sqrt {y}\right ) = 0
\]
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| \[
{} y^{\prime } = \sqrt {a +b y^{2}}
\]
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| \[
{} y^{\prime } = y \sqrt {b y+a}
\]
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| \[
{} y^{\prime } = \cos \left (y\right ) \cos \left (x \right )^{2}
\]
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