\[ a y(x)-2 y'(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0206588 (sec), leaf count = 64
\[\left \{\left \{y(x)\to 6 a^{3/2} c_1 x^{3/2} J_3\left (2 \sqrt {a} \sqrt {x}\right )-2 i a^{3/2} c_2 x^{3/2} Y_3\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.008 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) ={x}^{{\frac {3}{2}}} \left ( {{\sl Y}_{3}\left (2\,\sqrt {a}\sqrt {x}\right )}{\it \_C2}+{{\sl J}_{3}\left (2\,\sqrt {a}\sqrt {x}\right )}{\it \_C1} \right ) \right \} \]