\[ y(x) \left (a (a+b)+b^2 c^2 x^{2 b}\right )-x (2 a+b-1) y'(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0426711 (sec), leaf count = 106
\[\left \{\left \{y(x)\to c_1 2^{-\frac {a}{b}} c^{a/b} \left (x^{2 b}\right )^{\frac {a}{2 b}} \cos \left (c \sqrt {x^{2 b}}\right )+c_2 2^{-\frac {a+b}{b}} c^{\frac {a+b}{b}-1} \left (x^{2 b}\right )^{\frac {a+b}{2 b}-\frac {1}{2}} \sin \left (c \sqrt {x^{2 b}}\right )\right \}\right \}\] ✓ Maple : cpu = 0.077 (sec), leaf count = 25
\[y \relax (x ) = x^{a} \left (\cos \left (c \,x^{b}\right ) c_{2}+\sin \left (c \,x^{b}\right ) c_{1}\right )\]