\[ a y(x)-y'(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0203647 (sec), leaf count = 46
\[\left \{\left \{y(x)\to 2 a c_1 x J_2\left (2 \sqrt {a} \sqrt {x}\right )-2 a c_2 x Y_2\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.008 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) =x \left ( {{\sl Y}_{2}\left (2\,\sqrt {a}\sqrt {x}\right )}{\it \_C2}+{{\sl J}_{2}\left (2\,\sqrt {a}\sqrt {x}\right )}{\it \_C1} \right ) \right \} \]