\[ \boxed { x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +2\,{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +a{x}^{2}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.006001 (sec), leaf count = 42 \[ \left \{\left \{y(x)\to \frac {c_1 \text {Ai}\left (-\frac {a x}{(-a)^{2/3}}\right )}{x}+\frac {c_2 \text {Bi}\left (-\frac {a x}{(-a)^{2/3}}\right )}{x}\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) ={{\it \_C1}{{\sl J}_{{\frac {1}{3}} }\left ({\frac {2}{3}\sqrt {a}{x}^{{\frac {3}{2}}}}\right )}{\frac {1}{ \sqrt {x}}}}+{{\it \_C2}{{\sl Y}_{{\frac {1}{3}}}\left ({\frac {2}{3} \sqrt {a}{x}^{{\frac {3}{2}}}}\right )}{\frac {1}{\sqrt {x}}}} \right \} \]