\[ a y(x)+x^2 y''(x)+x y'(x)=0 \] ✓ Mathematica : cpu = 0.0070229 (sec), leaf count = 30
\[\left \{\left \{y(x)\to c_1 \cos \left (\sqrt {a} \log (x)\right )+c_2 \sin \left (\sqrt {a} \log (x)\right )\right \}\right \}\] ✓ Maple : cpu = 0.012 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sin \left ( \sqrt {a}\ln \left ( x \right ) \right ) +{\it \_C2}\,\cos \left ( \sqrt {a}\ln \left ( x \right ) \right ) \right \} \]