\[ a y'(x)+b x y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0237124 (sec), leaf count = 54
\[\left \{\left \{y(x)\to x^{\frac {1}{2}-\frac {a}{2}} \left (c_1 J_{\frac {a-1}{2}}\left (\sqrt {b} x\right )+c_2 Y_{\frac {a-1}{2}}\left (\sqrt {b} x\right )\right )\right \}\right \}\]
✓ Maple : cpu = 0.053 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) ={x}^{-{\frac {a}{2}}+{\frac {1}{2}}} \left ( {{\sl Y}_{{\frac {a}{2}}-{\frac {1}{2}}}\left (\sqrt {b}x\right )}{\it \_C2}+{{\sl J}_{{\frac {a}{2}}-{\frac {1}{2}}}\left (\sqrt {b}x\right )}{\it \_C1} \right ) \right \} \]