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

\[ {}y^{\prime } = \frac {y^{2}-3 x y-5 x^{2}}{x^{2}} \]

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime } = \frac {-6 x +y-3}{2 x -y-1} \]

\[ {}y^{\prime } = \frac {2 x +y+1}{x +2 y-4} \]

\[ {}y^{\prime } = \frac {-x +3 y-14}{x +y-2} \]

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

\[ {}x y y^{\prime } = 3 x^{6}+6 y^{2} \]

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

\[ {}y^{\prime } = y^{2} {\mathrm e}^{-x}+4 y+2 \,{\mathrm e}^{x} \]

\[ {}y^{\prime } = \frac {y^{2}+y \tan \relax (x )+\tan ^{2}\relax (x )}{\sin \relax (x )^{2}} \]

\[ {}x \ln \relax (x )^{2} y^{\prime } = -4 \ln \relax (x )^{2}+y \ln \relax (x )+y^{2} \]

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

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

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

\[ {}y^{\prime }+\frac {3 y}{x} = \frac {3 x^{4} y^{2}+10 x^{2} y+6}{x^{3} \left (2 x^{2} y+5\right )} \]

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

\[ {}6 x^{2} y^{2}+4 x^{3} y y^{\prime } = 0 \]

\[ {}3 \cos \relax (x ) y+4 x \,{\mathrm e}^{x}+2 x^{3} y+\left (3 \sin \relax (x )+3\right ) y^{\prime } = 0 \]

\[ {}14 x^{2} y^{3}+21 x^{2} y^{2} y^{\prime } = 0 \]

\[ {}2 x -2 y^{2}+\left (12 y^{2}-4 x y\right ) y^{\prime } = 0 \]

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

\[ {}4 x +7 y+\left (3 x +4 y\right ) y^{\prime } = 0 \]

\[ {}-2 y^{2} \sin \relax (x )+3 y^{3}-2 x +\left (4 \cos \relax (x ) y+9 x y^{2}\right ) y^{\prime } = 0 \]

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

\[ {}3 x^{2}+2 x y+4 y^{2}+\left (x^{2}+8 x y+18 y\right ) y^{\prime } = 0 \]

\[ {}2 x^{2}+8 x y+y^{2}+\left (2 x^{2}+\frac {x y^{3}}{3}\right ) y^{\prime } = 0 \]

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

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

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

\[ {}{\mathrm e}^{x} \left (x^{2} y^{2}+2 x y^{2}\right )+6 x +\left (2 x^{2} y \,{\mathrm e}^{x}+2\right ) y^{\prime } = 0 \]

\[ {}x^{2} {\mathrm e}^{x^{2}+y} \left (2 x^{2}+3\right )+4 x +\left (x^{3} {\mathrm e}^{x^{2}+y}-12 y^{2}\right ) y^{\prime } = 0 \]

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

\[ {}3 x^{2} \cos \relax (x ) y-x^{3} y^{2} \sin \relax (x )+4 x +\left (8 y-x^{4} \sin \relax (x ) y\right ) y^{\prime } = 0 \]

\[ {}4 x^{3} y^{2}-6 x^{2} y-2 x -3+\left (2 x^{4} y-2 x^{3}\right ) y^{\prime } = 0 \]

\[ {}-4 \cos \relax (x ) y+4 \sin \relax (x ) \cos \relax (x )+\sec ^{2}\relax (x )+\left (4 y-4 \sin \relax (x )\right ) y^{\prime } = 0 \]

\[ {}\left (y^{3}-1\right ) {\mathrm e}^{x}+3 y^{2} \left (1+{\mathrm e}^{x}\right ) y^{\prime } = 0 \]

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

\[ {}\left (2 x -1\right ) \left (y-1\right )+\left (2+x \right ) \left (x -3\right ) y^{\prime } = 0 \]

\[ {}7 x +4 y+\left (4 x +3 y\right ) y^{\prime } = 0 \]

\[ {}{\mathrm e}^{x} \left (x^{4} y^{2}+4 x^{3} y^{2}+1\right )+\left (2 x^{4} y \,{\mathrm e}^{x}+2 y\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

\[ {}y^{\prime }+2 x y = -\frac {{\mathrm e}^{-x^{2}} \left (3 x +2 y \,{\mathrm e}^{x^{2}}\right )}{2 x +3 y \,{\mathrm e}^{x^{2}}} \]

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

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

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

\[ {}3 x^{2} y+2 x^{3} y^{\prime } = 0 \]

\[ {}2 y^{3}+3 y^{2} y^{\prime } = 0 \]

\[ {}5 x y+2 y+5+2 x y^{\prime } = 0 \]

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

\[ {}27 x y^{2}+8 y^{3}+\left (18 x^{2} y+12 x y^{2}\right ) y^{\prime } = 0 \]

\[ {}6 x y^{2}+2 y+\left (12 x^{2} y+12 x y^{2}\right ) y^{\prime } = 0 \]

\[ {}y^{2}+\left (x y^{2}+6 x y+\frac {1}{y}\right ) y^{\prime } = 0 \]

\[ {}12 x^{3} y+24 x^{2} y^{2}+\left (9 x^{4}+32 x^{3} y+4 y\right ) y^{\prime } = 0 \]

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

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

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

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

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

\[ {}a y+b x y+\left (c x +d x y\right ) y^{\prime } = 0 \]

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

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

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

\[ {}x^{4} y^{4}+x^{5} y^{3} y^{\prime } = 0 \]

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

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

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

\[ {}12 x y+6 y^{3}+\left (9 x^{2}+10 x y^{2}\right ) y^{\prime } = 0 \]

\[ {}3 x^{2} y^{2}+2 y+2 x y^{\prime } = 0 \]

\[ {}y^{\prime \prime }-7 y^{\prime }+10 y = 0 \]

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

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

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

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

\[ {}\left (x^{2}-1\right ) y^{\prime \prime }+4 x y^{\prime }+2 y = 0 \]

\[ {}y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]

\[ {}y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]

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

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

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

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

\[ {}4 x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (-16 x^{2}+3\right ) y = 0 \]

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