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