\[ {}x^{2}+x y^{\prime } = 3 x +y^{\prime } \]

\[ {}x y y^{\prime }-y^{2} = x^{4} \]

\[ {}\frac {1}{y^{2}-x y+x^{2}} = \frac {y^{\prime }}{2 y^{2}-x y} \]

\[ {}\left (2 x -1\right ) y^{\prime }-2 y = \frac {1-4 x}{x^{2}} \]

\[ {}x -y+3+\left (3 x +y+1\right ) y^{\prime } = 0 \]

\[ {}y^{\prime }+\cos \left (\frac {x}{2}+\frac {y}{2}\right ) = \cos \left (\frac {x}{2}-\frac {y}{2}\right ) \]

\[ {}y^{\prime } \left (3 x^{2}-2 x \right )-y \left (6 x -2\right ) = 0 \]

\[ {}y^{2} y^{\prime } x -y^{3} = \frac {x^{4}}{3} \]

\[ {}1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime } = 0 \]

\[ {}x^{2}+y^{2}-x y y^{\prime } = 0 \]

\[ {}x -y+2+\left (x -y+3\right ) y^{\prime } = 0 \]

\[ {}x y^{2}+y-x y^{\prime } = 0 \]

\[ {}x^{2}+y^{2}+2 x +2 y y^{\prime } = 0 \]

\[ {}\left (-1+x \right ) \left (y^{2}-y+1\right ) = \left (y-1\right ) \left (x^{2}+x +1\right ) y^{\prime } \]

\[ {}\left (x -2 x y-y^{2}\right ) y^{\prime }+y^{2} = 0 \]

\[ {}\cos \left (x \right ) y+\left (2 y-\sin \left (x \right )\right ) y^{\prime } = 0 \]

\[ {}y^{\prime }-1 = {\mathrm e}^{2 y+x} \]

\[ {}2 x^{5}+4 x^{3} y-2 x y^{2}+\left (y^{2}+2 x^{2} y-x^{4}\right ) y^{\prime } = 0 \]

\[ {}x^{2} y^{n} y^{\prime } = 2 x y^{\prime }-y \]

\[ {}\left (3 x +3 y+a^{2}\right ) y^{\prime } = 4 x +4 y+b^{2} \]

\[ {}x -y^{2}+2 x y y^{\prime } = 0 \]

\[ {}x y^{\prime }+y = y^{2} \ln \left (x \right ) \]

\[ {}\sin \left (\ln \left (x \right )\right )-\cos \left (\ln \left (y\right )\right ) y^{\prime } = 0 \]

\[ {}y^{\prime } = \sqrt {\frac {9 y^{2}-6 y+2}{x^{2}-2 x +5}} \]

\[ {}\left (5 x -7 y+1\right ) y^{\prime }+x +y-1 = 0 \]

\[ {}x +y+1+\left (2 x +2 y-1\right ) y^{\prime } = 0 \]

\[ {}y^{3}+2 \left (x^{2}-x y^{2}\right ) y^{\prime } = 0 \]

\[ {}y^{\prime } = \frac {2 \left (y+2\right )^{2}}{\left (x +y-1\right )^{2}} \]

\[ {}x^{\prime }+3 x = {\mathrm e}^{-2 t} \]

\[ {}x^{\prime }-3 x = 3 t^{3}+3 t^{2}+2 t +1 \]

\[ {}x^{\prime }-x = \cos \left (t \right )-\sin \left (t \right ) \]

\[ {}2 x^{\prime }+6 x = t \,{\mathrm e}^{-3 t} \]

\[ {}x^{\prime }+x = 2 \sin \left (t \right ) \]