\[ a^2 x^2 y(x)+2 a x y'(x)+y''(x)=0 \] ✓ Mathematica : cpu = 0.0315633 (sec), leaf count = 56
\[\left \{\left \{y(x)\to \frac {e^{-\frac {a x^2}{2}-\sqrt {a} x} \left (c_2 e^{2 \sqrt {a} x}+2 \sqrt {a} c_1\right )}{2 \sqrt {a}}\right \}\right \}\]
✓ Maple : cpu = 0.046 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-{\frac {x}{2} \left ( ax-2\,\sqrt {a} \right ) }}}+{\it \_C2}\,{{\rm e}^{-{\frac {x}{2} \left ( ax+2\,\sqrt {a} \right ) }}} \right \} \]