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

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

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

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

\[ {}2 y^{\prime \prime } y-{y^{\prime }}^{2}-8 y^{3} = 0 \]

\[ {}2 y^{\prime \prime } y-{y^{\prime }}^{2}-8 y^{3}-4 y^{2} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}3 y^{\prime \prime } y-5 {y^{\prime }}^{2} = 0 \]

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

\[ {}4 y^{\prime \prime } y-3 {y^{\prime }}^{2}-12 y^{3} = 0 \]

\[ {}4 y^{\prime \prime } y-3 {y^{\prime }}^{2}+a y^{3}+b y^{2}+c y = 0 \]

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

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

\[ {}12 y^{\prime \prime } y-15 {y^{\prime }}^{2}+8 y^{3} = 0 \]

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

\[ {}a y y^{\prime \prime }+b {y^{\prime }}^{2}+\operatorname {c4} y^{4}+\operatorname {c3} y^{3}+\operatorname {c2} y^{2}+\operatorname {c1} y+\operatorname {c0} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}8 \left (-x^{3}+1\right ) y y^{\prime \prime }-4 \left (-x^{3}+1\right ) {y^{\prime }}^{2}-12 x^{2} y y^{\prime }+3 x y^{2} = 0 \]

\[ {}\operatorname {f0} \relax (x ) y y^{\prime \prime }+\operatorname {f1} \relax (x ) {y^{\prime }}^{2}+\operatorname {f2} \relax (x ) y y^{\prime }+\operatorname {f3} \relax (x ) y^{2} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

\[ {}-2 y \left (1-y\right ) y^{\prime \prime }+\left (1-3 y\right ) {y^{\prime }}^{2}-4 y y^{\prime } \left (f \relax (x ) y+g \relax (x )\right )+\left (1-y\right )^{3} \left (\operatorname {f0} \relax (x )^{2} y^{2}-\operatorname {f1} \relax (x )^{2}\right )+4 y^{2} \left (1-y\right ) \left (f \relax (x )^{2}-g \relax (x )^{2}-g^{\prime }\relax (x )-f^{\prime }\relax (x )\right ) = 0 \]

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

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

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

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

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

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

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

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

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

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

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

\[ {}2 y^{3} y^{\prime \prime }+y^{4}-a^{2} x y^{2}-1 = 0 \]

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

\[ {}2 \left (c -y\right ) \left (-y+b \right ) \left (-y+a \right ) y^{\prime \prime }+\left (\left (-y+a \right ) \left (-y+b \right )+\left (c -y\right ) \left (-y+a \right )+\left (-y+b \right ) \left (c -y\right )\right ) {y^{\prime }}^{2}-\operatorname {a0} \left (c -y\right )^{2} \left (-y+b \right )^{2} \left (-y+a \right )^{2}-\operatorname {a1} \left (-y+b \right )^{2} \left (c -y\right )^{2}-\operatorname {a2} \left (c -y\right )^{2} \left (-y+a \right )^{2}-\operatorname {a3} \left (-y+b \right )^{2} \left (-y+a \right )^{2} = 0 \]

\[ {}\left (4 y^{3}-a y-b \right ) y^{\prime \prime }-\left (6 y^{2}-\frac {a}{2}\right ) {y^{\prime }}^{2} = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}h \relax (y) y^{\prime \prime }+a D\relax (h )\relax (y) {y^{\prime }}^{2}+j \relax (y) = 0 \]

\[ {}h \relax (y) y^{\prime \prime }-D\relax (h )\relax (y) {y^{\prime }}^{2}-h \relax (y)^{2} j \left (x , \frac {y^{\prime }}{h \relax (y)}\right ) = 0 \]

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

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

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

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

\[ {}\left (\operatorname {f1} y^{\prime }+\operatorname {f2} y\right ) y^{\prime \prime }+\operatorname {f3} {y^{\prime }}^{2}+\operatorname {f4} \relax (x ) y y^{\prime }+\operatorname {f5} \relax (x ) y^{2} = 0 \]

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

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

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

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

\[ {}h \left (y^{\prime }\right ) y^{\prime \prime }+j \relax (y) y^{\prime }+f = 0 \]