\[ 4 x^3 y'(x)+4 x^2 y''(x)+\left (x^2-4\right ) \left (x^2+6\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0224331 (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 = 0.086 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{2}}{{\rm e}^{-{\frac {{x}^{2}}{4}}}}}+{\it \_C2}\,{x}^{3}{{\rm e}^{-{\frac {{x}^{2}}{4}}}} \right \} \]