\[ \boxed { x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( {x}^{2}-x-2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -x \left ( x+3 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 10.079280 (sec), leaf count = 56 \[ \left \{\left \{y(x)\to c_2 e^{\frac {x^2}{2}} \int _1^x \frac {e^{-\frac {1}{2} K[1]^2-K[1]}}{K[1]^2} \, dK[1]+c_1 e^{\frac {x^2}{2}}\right \}\right \} \]
Maple: cpu = 0.125 (sec), leaf count = 34 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {{x}^{2}}{2} }}}+{\it \_C2}\,{{\rm e}^{{\frac {{x}^{2}}{2}}}}\int \!{\frac {1}{{x}^ {2}}{{\rm e}^{-{\frac {x \left ( x+2 \right ) }{2}}}}}\,{\rm d}x \right \} \]