\[ \boxed { 4\,{x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +4\,{x}^{3}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( {x}^{2}+6 \right ) \left ( {x}^{2}-4 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.024003 (sec), leaf count = 39 \[ \left \{\left \{y(x)\to \frac {c_1 e^{-\frac {x^2}{4}}}{x^2}+\frac {1}{5} c_2 e^{-\frac {x^2}{4}} x^3\right \}\right \} \]
Maple: cpu = 0.047 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{2}}{{\rm e}^{-{ \frac {{x}^{2}}{4}}}}}+{\it \_C2}\,{x}^{3}{{\rm e}^{-{\frac {{x}^{2}}{ 4}}}} \right \} \]