\[ a y'(x)+b x y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0223515 (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 = 0.042 (sec), leaf count = 45
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{{\frac {1}{2}}-{\frac {a}{2}}}{{\sl J}_{-{\frac {1}{2}}+{\frac {a}{2}}}\left (\sqrt {b}x\right )}+{\it \_C2}\,{x}^{{\frac {1}{2}}-{\frac {a}{2}}}{{\sl Y}_{-{\frac {1}{2}}+{\frac {a}{2}}}\left (\sqrt {b}x\right )} \right \} \]