\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =-{\frac {y \left( x \right)  \left( -\ln  \left( {x}^{-1} \right) +{{\rm e}^{x}}+y \left( x \right) {x}^{2}\ln  \left( x \right) +{x}^{3}y \left( x \right) -x\ln  \left( x \right) -{x}^{2} \right) }{ \left( -\ln  \left( {x}^{-1} \right) +{{\rm e}^{x}} \right) x}}=0}
\]