\[ a y(x)+y'(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0176631 (sec), leaf count = 41
\[\left \{\left \{y(x)\to c_1 J_0\left (2 \sqrt {a} \sqrt {x}\right )+2 c_2 Y_0\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.009 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) ={{\sl J}_{0}\left (2\,\sqrt {a}\sqrt {x}\right )}{\it \_C1}+{\it \_C2}\,{{\sl Y}_{0}\left (2\,\sqrt {a}\sqrt {x}\right )} \right \} \]