\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {2\,x{{\rm e}^{x}}-2\,x-\ln  \left( x \right) -1+{x}^{4}\ln  \left( x \right) +{x}^{4}-2\,y \left( x \right) {x}^{2}\ln  \left( x \right) -2\,{x}^{2}y \left( x \right) + \left( y \left( x \right)  \right) ^{2}\ln  \left( x \right) + \left( y \left( x \right)  \right) ^{2}}{{{\rm e}^{x}}-1}}=0}
\]