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