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