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

\[ {}\left (y^{\prime }\right )^{2} = f \relax (x )^{2} \left (y-a \right ) \left (y-b \right ) \left (y-c \right )^{2} \]

\[ {}\left (y^{\prime }\right )^{2} = f \relax (x )^{2} \left (y-u \relax (x )\right )^{2} \left (y-a \right ) \left (y-b \right ) \]

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

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

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

\[ {}\left (y^{\prime }\right )^{2}-5 y^{\prime }+6 = 0 \]

\[ {}\left (y^{\prime }\right )^{2}-7 y^{\prime }+12 = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\left (y^{\prime }\right )^{2}+4 x^{5} y^{\prime }-12 x^{4} y = 0 \]

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

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

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

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

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

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

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

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

\[ {}\left (y^{\prime }\right )^{2}-2 \left (1-3 y\right ) y^{\prime }-\left (4-9 y\right ) y = 0 \]

\[ {}\left (y^{\prime }\right )^{2}+\left (a +6 y\right ) y^{\prime }+y \left (3 a +b +9 y\right ) = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\left (y^{\prime }\right )^{2}-3 x y^{\frac {2}{3}} y^{\prime }+9 y^{\frac {5}{3}} = 0 \]

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

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

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

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

\[ {}2 \left (y^{\prime }\right )^{2}+2 \left (6 y-1\right ) y^{\prime }+3 y \left (6 y-1\right ) = 0 \]

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

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

\[ {}4 \left (y^{\prime }\right )^{2} = 9 x \]

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

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

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

\[ {}5 \left (y^{\prime }\right )^{2}+6 x y^{\prime }-2 y = 0 \]

\[ {}9 \left (y^{\prime }\right )^{2}+3 x y^{4} y^{\prime }+y^{5} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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