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