\[ \boxed { 2\,x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +ay \left ( x \right ) =0} \]
Mathematica: cpu = 0.011501 (sec), leaf count = 46 \[ \left \{\left \{y(x)\to c_2 \sin \left (\sqrt {2} \sqrt {a} \sqrt {x}\right )+c_1 \cos \left (\sqrt {2} \sqrt {a} \sqrt {x}\right )\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sin \left ( \sqrt {x}\sqrt {2 }\sqrt {a} \right ) +{\it \_C2}\,\cos \left ( \sqrt {x}\sqrt {2}\sqrt {a } \right ) \right \} \]