\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {{x}^{3}{{\rm e}^{y \left( x \right) }}+{x}^{4}+{{\rm e}^{y \left( x \right) }}y \left( x \right) -{{\rm e}^{y \left( x \right) }}\ln  \left( {{\rm e}^{y \left( x \right) }}+x \right) +xy \left( x \right) -\ln  \left( {{\rm e}^{y \left( x \right) }}+x \right) x+x}{{x}^{2}}}=0}
\]