| # | ODE | Mathematica | Maple | Sympy |
| \[
{} \left (y-x^{2}+x \,{\mathrm e}^{y}\right ) y^{\prime } = 2 x y-{\mathrm e}^{y}-x
\]
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| \[
{} \cos \left (y\right )-x \sin \left (y\right ) y^{\prime } = \sec \left (x \right )^{2}
\]
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| \[
{} y \sin \left (\frac {x}{y}\right )+x \cos \left (\frac {x}{y}\right )-1+\left (x \sin \left (\frac {x}{y}\right )-\frac {x^{2} \cos \left (\frac {x}{y}\right )}{y}\right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime }+\frac {x}{y}+2 = 0
\]
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| \[
{} x \cos \left (\frac {y}{x}\right )^{2}-y+x y^{\prime } = 0
\]
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| \[
{} x^{2}-x y+y^{2}-y y^{\prime } x = 0
\]
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| \[
{} y^{\prime } = \sin \left (x -y\right )^{2}
\]
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| \[
{} 3 x^{2}+6 x y^{2}+\left (6 x^{2} y+4 y^{3}\right ) y^{\prime } = 0
\]
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| \[
{} 2 x^{2}-x y^{2}-2 y+3-\left (x^{2} y+2 x \right ) y^{\prime } = 0
\]
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| \[
{} x y^{2}+x -2 y+3+\left (x^{2} y-2 y-2 x \right ) y^{\prime } = 0
\]
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| \[
{} 2 x \left (3 x +y-y \,{\mathrm e}^{-x^{2}}\right )+\left (x^{2}+3 y^{2}+{\mathrm e}^{-x^{2}}\right ) y^{\prime } = 0
\]
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| \[
{} 3+y+2 y^{2} \sin \left (x \right )^{2}+\left (x +2 x y-y \sin \left (2 x \right )\right ) y^{\prime } = 0
\]
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| \[
{} 4 x y+3 y^{2}-x +x \left (2 y+x \right ) y^{\prime } = 0
\]
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| \[
{} x^{2}+2 x +y+\left (3 x^{2} y-x \right ) y^{\prime } = 0
\]
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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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| \[
{} 2 x y^{2}-y+\left (y^{2}+x +y\right ) y^{\prime } = 0
\]
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| \[
{} y-2 x^{3} \tan \left (\frac {y}{x}\right )-x y^{\prime } = 0
\]
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| \[
{} 2 x^{2} y^{4}-y+\left (4 x^{3} y^{3}-x \right ) y^{\prime } = 0
\]
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| \[
{} x^{2}+y^{3}+y+\left (x^{3}+y^{2}-x \right ) y^{\prime } = 0
\]
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| \[
{} 2 x^{3} y+y^{3}-\left (x^{4}+2 x y^{2}\right ) y^{\prime } = 0
\]
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| \[
{} \left (\sin \left (y\right )^{2}+x \cot \left (y\right )\right ) y^{\prime } = 0
\]
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| \[
{} y = \left ({\mathrm e}^{y}+2 x y-2 x \right ) y^{\prime }
\]
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| \[
{} y^{\prime }+y^{2} = x^{2}+1
\]
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| \[
{} x {y^{\prime }}^{3}-y {y^{\prime }}^{2}+1 = 0
\]
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| \[
{} y = x y^{\prime }+{y^{\prime }}^{3}
\]
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| \[
{} 2 {y^{\prime }}^{2} \left (y-x y^{\prime }\right ) = 1
\]
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| \[
{} y = 2 x y^{\prime }+y^{2} {y^{\prime }}^{3}
\]
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| \[
{} {y^{\prime }}^{3}+y^{2} = y y^{\prime } x
\]
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| \[
{} 2 x y^{\prime }-y = y^{\prime } \ln \left (y y^{\prime }\right )
\]
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| \[
{} y = x y^{\prime }-x^{2} {y^{\prime }}^{3}
\]
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| \[
{} y \left (y-2 x y^{\prime }\right )^{3} = {y^{\prime }}^{2}
\]
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| \[
{} x y^{\prime } = y-{\mathrm e}^{\frac {y}{x}} x
\]
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| \[
{} y^{\prime } = {\mathrm e}^{\frac {x y^{\prime }}{y}}
\]
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| \[
{} 2 y^{2} x^{3}-y+\left (2 x^{2} y^{3}-x \right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime }+\frac {y}{x} = {\mathrm e}^{x y}
\]
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| \[
{} y y^{\prime \prime }-y y^{\prime } = {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime } = \frac {2 \left (y+2\right )^{2}}{\left (x +y-1\right )^{2}}
\]
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| \[
{} y+3 x^{4} y^{2}+\left (x +2 x^{2} y^{3}\right ) y^{\prime } = 0
\]
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| \[
{} 2 y \left (x \,{\mathrm e}^{x^{2}}+\sin \left (x \right ) \cos \left (x \right ) y\right )+\left (2 \,{\mathrm e}^{x^{2}}+3 \sin \left (x \right )^{2} y\right ) y^{\prime } = 0
\]
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| \[
{} \cos \left (y\right )+\sin \left (y\right ) \left (x -\sin \left (y\right ) \cos \left (y\right )\right ) y^{\prime } = 0
\]
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| \[
{} y^{4}+x y+\left (x y^{3}-x^{2}\right ) y^{\prime } = 0
\]
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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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| \[
{} y y^{\prime \prime }-y^{2} y^{\prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} 2 y^{\prime }+x = 4 \sqrt {y}
\]
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| \[
{} 2 {y^{\prime }}^{3}-3 {y^{\prime }}^{2}+x = y
\]
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| \[
{} \left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\]
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| \[
{} x +\sin \left (\frac {y}{x}\right )^{2} \left (y-x y^{\prime }\right ) = 0
\]
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| \[
{} 2 x y^{4} {\mathrm e}^{y}+2 x y^{3}+y+\left (x^{2} y^{4} {\mathrm e}^{y}-x^{2} y^{2}-3 x \right ) y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = \cosh \left (x \right ) \sin \left (x \right )
\]
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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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| \[
{} y^{\prime \prime }+y^{\prime } = \frac {1}{{\mathrm e}^{x}+1}
\]
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| \[
{} \left (x -2\right )^{2} y^{\prime \prime }-3 \left (x -2\right ) y^{\prime }+4 y = x
\]
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| \[
{} \left [x_{1}^{\prime }\left (t \right ) = -x_{1} \left (t \right )+2 x_{2} \left (t \right ), x_{2}^{\prime }\left (t \right ) = -3 x_{1} \left (t \right )+4 x_{2} \left (t \right )+\frac {{\mathrm e}^{3 t}}{1+{\mathrm e}^{2 t}}\right ]
\]
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| \[
{} [x_{1}^{\prime }\left (t \right ) = -3 x_{1} \left (t \right )+4 x_{2} \left (t \right )-2 x_{3} \left (t \right )+{\mathrm e}^{t}, x_{2}^{\prime }\left (t \right ) = x_{1} \left (t \right )+x_{2} \left (t \right ), x_{3}^{\prime }\left (t \right ) = 6 x_{1} \left (t \right )-6 x_{2} \left (t \right )+5 x_{3} \left (t \right )]
\]
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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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| \[
{} y^{\prime } = x^{2}-y^{2}
\]
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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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| \[
{} y^{\prime } = 2 x -\left (x^{2}+1\right ) y+y^{2}
\]
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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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| \[
{} y^{\prime } = 3 a +3 b x +3 b y^{2}
\]
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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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| \[
{} y^{\prime } = f \left (x \right )+a y+b y^{2}
\]
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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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| \[
{} y^{\prime } = a \,x^{m}+b \,x^{n} y^{2}
\]
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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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| \[
{} y^{\prime } = f \left (x \right )+g \left (x \right ) y+h \left (x \right ) y^{2}
\]
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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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| \[
{} y^{\prime } = a \,x^{\frac {n}{-n +1}}+b y^{n}
\]
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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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| \[
{} y^{\prime } = a x +b \sqrt {y}
\]
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| \[
{} y^{\prime } = \cos \left (y\right ) \cos \left (x \right )^{2}
\]
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| \[
{} y^{\prime } = a +\cos \left (y\right ) b
\]
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| \[
{} y^{\prime }+x \left (\sin \left (2 y\right )-x^{2} \cos \left (y\right )^{2}\right ) = 0
\]
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| \[
{} y^{\prime }+\tan \left (x \right ) \sec \left (x \right ) \cos \left (y\right )^{2} = 0
\]
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| \[
{} y^{\prime } = \sec \left (x \right )^{2} \sec \left (y\right )^{3}
\]
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| \[
{} y^{\prime } = a +b \sin \left (y\right )
\]
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| \[
{} y^{\prime } = x^{m -1} y^{-n +1} f \left (a \,x^{m}+b y^{n}\right )
\]
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| \[
{} 2 y^{\prime }+2 \csc \left (x \right )^{2} = y \csc \left (x \right ) \sec \left (x \right )-y^{2} \sec \left (x \right )^{2}
\]
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| \[
{} 2 y^{\prime } = 2 \sin \left (y\right )^{2} \tan \left (y\right )-x \sin \left (2 y\right )
\]
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| \[
{} 2 y^{\prime }+a x = \sqrt {a^{2} x^{2}-4 b \,x^{2}-4 c y}
\]
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| \[
{} 2 y^{\prime }+a x = -\sqrt {a^{2} x^{2}-4 b \,x^{2}-4 c y}
\]
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| \[
{} 3 y^{\prime } = x +\sqrt {x^{2}-3 y}
\]
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| \[
{} 3 y^{\prime } = x -\sqrt {x^{2}-3 y}
\]
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| \[
{} x y^{\prime } = a +b \,x^{n}+c y
\]
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| \[
{} x y^{\prime }+x^{2}+y^{2} = 0
\]
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| \[
{} x y^{\prime }-y+y^{2} = x^{{2}/{3}}
\]
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| \[
{} x y^{\prime } = x^{2} a +y+b y^{2}
\]
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| \[
{} x y^{\prime } = a \,x^{2 n}+\left (n +b y\right ) y
\]
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