\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +a{x}^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,y \left ( x \right ) =0} \]
Mathematica: cpu = 0.021003 (sec), leaf count = 124 \[ \left \{\left \{y(x)\to \frac {2 c_2 e^{\frac {1}{2} (\log (x)-a x)} \left (i \sinh \left (\frac {a x}{2}\right )-\frac {2 i \cosh \left (\frac {a x}{2}\right )}{a x}\right )}{\sqrt {\pi } \sqrt {-i a x}}+\frac {2 c_1 e^{\frac {1}{2} (\log (x)-a x)} \left (\frac {2 \sinh \left (\frac {a x}{2}\right )}{a x}-\cosh \left (\frac {a x}{2}\right )\right )}{\sqrt {\pi } \sqrt {-i a x}}\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 30 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\, \left ( ax-2 \right ) }{x}}+{\frac {{\it \_C2}\,{{\rm e}^{-ax}} \left ( ax+2 \right ) }{x}} \right \} \]