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

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

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

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

\[ {}\left (x^{2}-5 x +6\right ) y^{\prime }+3 x y-8 y+x^{2} = 0 \]

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

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

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

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

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

\[ {}3 x^{2} y^{\prime }-7 y^{2}-3 x y-x^{2} = 0 \]

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

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

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

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

\[ {}x^{3} y^{\prime }-x^{4} y^{2}+x^{2} y+20 = 0 \]

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

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

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

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

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

\[ {}2 x \left (x^{2}-1\right ) y^{\prime }+2 \left (x^{2}-1\right ) y^{2}-\left (3 x^{2}-5\right ) y+x^{2}-3 = 0 \]

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

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

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

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

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

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

\[ {}x^{7} y^{\prime }+2 \left (x^{2}+1\right ) y^{3}+5 x^{3} y^{2} = 0 \]

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

\[ {}x^{n} y^{\prime }-a y^{2}-b \,x^{2 n -2} = 0 \]

\[ {}x^{2 n +1} y^{\prime }-a y^{3}-b \,x^{3 n} = 0 \]

\[ {}x^{m \left (n -1\right )+n} y^{\prime }-a y^{n}-b \,x^{n \left (m +1\right )} = 0 \]

\[ {}\sqrt {x^{2}-1}\, y^{\prime }-\sqrt {y^{2}-1} = 0 \]

\[ {}\sqrt {-x^{2}+1}\, y^{\prime }-y \sqrt {y^{2}-1} = 0 \]

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

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

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

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

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

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

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

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

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

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

\[ {}f \left (x \right ) y^{\prime }+g \left (x \right ) s \left (y\right )+h \left (x \right ) = 0 \]

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

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

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

\[ {}y y^{\prime }+a y+b \,{\mathrm e}^{x}-2 a = 0 \]

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

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

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

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

\[ {}y y^{\prime }-x \,{\mathrm e}^{\frac {x}{y}} = 0 \]

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

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

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

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

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

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

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

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

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

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

\[ {}\left (2 y+x +7\right ) y^{\prime }-y+2 x +4 = 0 \]

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

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

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

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

\[ {}\left (4 y-3 x -5\right ) y^{\prime }-3 y+7 x +2 = 0 \]

\[ {}\left (4 y+11 x -11\right ) y^{\prime }-25 y-8 x +62 = 0 \]

\[ {}\left (12 y-5 x -8\right ) y^{\prime }-5 y+2 x +3 = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}2 x y y^{\prime }+2 y^{2}+1 = 0 \]

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

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

\[ {}\left (2 x y+4 x^{3}\right ) y^{\prime }+y^{2}+112 x^{2} y = 0 \]

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

\[ {}\left (2+3 x \right ) \left (y-2 x -1\right ) y^{\prime }-y^{2}+x y-7 x^{2}-9 x -3 = 0 \]

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

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

\[ {}\left (B x y+A \,x^{2}+a x +b y+c \right ) y^{\prime }-B g \left (x \right )^{2}+A x y+\alpha x +\beta y+\gamma = 0 \]

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

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

\[ {}\left (-1+x^{2} y\right ) y^{\prime }+8 x y^{2}-8 = 0 \]

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

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

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