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