\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( {x}^{2}-2\,x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( 3\,x+2 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.029504 (sec), leaf count = 41 \[ \left \{\left \{y(x)\to c_1 e^x x-\frac {c_2 \left (e^x x^3 \text {Ei}(-x)+x^2-x+2\right )}{6 x^2}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 33 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,x{{\rm e}^{x}}+{\frac {{\it \_C2}\, \left ( -{x}^{3}{{\rm e}^{x}}{\it Ei} \left ( 1,x \right ) +{x}^{ 2}-x+2 \right ) }{{x}^{2}}} \right \} \]