\[ a y'(x)+b x y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0152571 (sec), leaf count = 64
\[\left \{\left \{y(x)\to c_1 x^{\frac {1-a}{2}} J_{\frac {a-1}{2}}\left (\sqrt {b} x\right )+c_2 x^{\frac {1-a}{2}} Y_{\frac {a-1}{2}}\left (\sqrt {b} x\right )\right \}\right \}\] ✓ Maple : cpu = 0.075 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) ={x}^{-{\frac {a}{2}}+{\frac {1}{2}}} \left ( {{\sl Y}_{{\frac {a}{2}}-{\frac {1}{2}}}\left (\sqrt {b}x\right )}{\it \_C2}+{{\sl J}_{{\frac {a}{2}}-{\frac {1}{2}}}\left (\sqrt {b}x\right )}{\it \_C1} \right ) \right \} \]