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

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

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

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

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

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

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

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

\[ {}\left (\operatorname {a2} x +\operatorname {c2} \right ) {y^{\prime }}^{2}+\left (\operatorname {a1} x +\operatorname {b1} y+\operatorname {c1} \right ) y^{\prime }+\operatorname {a0} x +\operatorname {b0} y+\operatorname {c0} = 0 \]

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

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

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

\[ {}y^{\prime }-1 = 0 \]

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

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

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

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

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

\[ {}x^{2} {y^{\prime }}^{2}+4 x y y^{\prime }-5 y^{2} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\operatorname {d0} \relax (x ) {y^{\prime }}^{2}+2 \operatorname {b0} \relax (x ) y y^{\prime }+\operatorname {c0} \relax (x ) y^{2}+2 \operatorname {d0} \relax (x ) y^{\prime }+2 \operatorname {e0} \relax (x ) y+\operatorname {f0} \relax (x ) = 0 \]

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

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

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

\[ {}y {y^{\prime }}^{2}+2 x y^{\prime }-9 y = 0 \]

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

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

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

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

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

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

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

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

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

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

\[ {}9 y {y^{\prime }}^{2}+4 x^{3} y^{\prime }-4 x^{2} y = 0 \]

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

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

\[ {}\left (\operatorname {b2} y+\operatorname {a2} x +\operatorname {c2} \right ) {y^{\prime }}^{2}+\left (\operatorname {a1} x +\operatorname {b1} y+\operatorname {c1} \right ) y^{\prime }+\operatorname {a0} x +\operatorname {b0} y+\operatorname {c0} = 0 \]

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

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

\[ {}x y {y^{\prime }}^{2}+\left (x^{22}-y^{2}+a \right ) y^{\prime }-x y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\left (\operatorname {b2} y+\operatorname {a2} x +\operatorname {c2} \right )^{2} {y^{\prime }}^{2}+\left (\operatorname {a1} x +\operatorname {b1} y+\operatorname {c1} \right ) y^{\prime }+\operatorname {b0} y+\operatorname {a0} +\operatorname {c0} = 0 \]

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

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

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

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

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

\[ {}9 y^{4} \left (x^{2}-1\right ) {y^{\prime }}^{2}-6 x y^{5} y^{\prime }-4 x^{2} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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