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