\[ a^2 x^2 y(x)+2 a x y'(x)+y''(x)=0 \] ✓ Mathematica : cpu = 0.0233135 (sec), leaf count = 57
\[\left \{\left \{y(x)\to c_1 e^{-\frac {a x^2}{2}-\sqrt {a} x}+\frac {c_2 e^{\sqrt {a} x-\frac {a x^2}{2}}}{2 \sqrt {a}}\right \}\right \}\] ✓ Maple : cpu = 0.048 (sec), leaf count = 35
\[y \relax (x ) = c_{1} {\mathrm e}^{-\frac {x \left (a x -2 \sqrt {a}\right )}{2}}+c_{2} {\mathrm e}^{-\frac {x \left (a x +2 \sqrt {a}\right )}{2}}\]