\[ y''(x)=-b^2 x^{-2 a} y(x)-\frac {a y'(x)}{x} \] ✓ Mathematica : cpu = 0.0189317 (sec), leaf count = 43
\[\left \{\left \{y(x)\to c_1 \cos \left (\frac {b x^{1-a}}{a-1}\right )-c_2 \sin \left (\frac {b x^{1-a}}{a-1}\right )\right \}\right \}\] ✓ Maple : cpu = 0.018 (sec), leaf count = 39
\[\left \{y \left (x \right ) = c_{1} \sin \left (\frac {b \,x^{-a +1}}{a -1}\right )+c_{2} \cos \left (\frac {b \,x^{-a +1}}{a -1}\right )\right \}\]