\[ \boxed { x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) -x \left ( 1+x \right ) {{\rm e}^{x}}=0} \]
Mathematica: cpu = 0.052507 (sec), leaf count = 45 \[ \left \{\left \{y(x)\to c_2 \left (-e^x x \text {Ei}(-x)-1\right )+c_1 e^x x+e^x \left (x^2+x-x \log (-x)-1\right )\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 40 \[ \left \{ y \left ( x \right ) = \left ( -{\it Ei} \left ( 1,x \right ) x+{ {\rm e}^{-x}} \right ) {{\rm e}^{x}}{\it \_C1}+{{\rm e}^{x}}{\it \_C2} \,x- \left ( x\ln \left ( x \right ) -{x}^{2}+1 \right ) {{\rm e}^{x}} \right \} \]