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