\[ \boxed { {x}^{3}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) -4\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( {x}^{2}+8 \right ) x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\, \left ( {x}^{2}+4 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.074509 (sec), leaf count = 25 \[ \left \{\left \{y(x)\to c_1 x^2-c_2 x \sin (x)+c_3 x \cos (x)\right \}\right \} \]
Maple: cpu = 0.171 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{2}+{\it \_C2}\,x\sin \left ( x \right ) +{\it \_C3}\,\cos \left ( x \right ) x \right \} \]