\[ a y'(x)+b x y(x)+x y''(x)=0 \] ✓ Mathematica : cpu = 0.0153551 (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 = 0.05 (sec), leaf count = 39
\[\left \{y \left (x \right ) = \left (c_{1} \BesselJ \left (\frac {a}{2}-\frac {1}{2}, \sqrt {b}\, x \right )+c_{2} \BesselY \left (\frac {a}{2}-\frac {1}{2}, \sqrt {b}\, x \right )\right ) x^{-\frac {a}{2}+\frac {1}{2}}\right \}\]