\[ 4 x^3 y'(x)+4 x^2 y''(x)+\left (x^2-4\right ) \left (x^2+6\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0182571 (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 = 0.034 (sec), leaf count = 21
\[\left \{y \left (x \right ) = \frac {\left (c_{2} x^{5}+c_{1}\right ) {\mathrm e}^{-\frac {x^{2}}{4}}}{x^{2}}\right \}\]