\[ y(x) \left (a (a+b)+b^2 c^2 x^{2 b}\right )-x (2 a+b-1) y'(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0390209 (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 = 0.398 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={x}^{a} \left ( \cos \left ( {x}^{b}c \right ) {\it \_C2}+\sin \left ( {x}^{b}c \right ) {\it \_C1} \right ) \right \} \]