\[
\boxed{
2\,{x}^{2}y \left( x \right)  \left( -1+y \left( x \right)  \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) -{x}^{2} \left( 3\,y \left( x \right) -1 \right)  \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) ^{2}+2\,xy \left( x \right)  \left( -1+y \left( x \right)  \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( a \left( y \left( x \right)  \right) ^{2}+b \right)  \left( -1+y \left( x \right)  \right) ^{3}+cx \left( y \left( x \right)  \right) ^{2} \left( -1+y \left( x \right)  \right) +d{x}^{2} \left( y \left( x \right)  \right) ^{2} \left( 1+y \left( x \right)  \right) =0}
\]