\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( 2\,a+b-1 \right ) x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( {c}^{2}{b}^{2}{x}^{2\,b}+a \left ( a+b \right ) \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.066008 (sec), leaf count = 106 \[ \left \{\left \{y(x)\to c_2 2^{-\frac {a+b}{b}} c^{\frac {a+b}{b}-1} \left (x^{2 b}\right )^{\frac {a+b}{2 b}-\frac {1}{2}} \sin \left (c \sqrt {x^{2 b}}\right )+c_1 2^{-\frac {a}{b}} c^{a/b} \left (x^{2 b}\right )^{\frac {a}{2 b}} \cos \left (c \sqrt {x^{2 b}}\right )\right \}\right \} \]
Maple: cpu = 0.047 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sin \left ( {x}^{b}c \right ) {x}^{a}+{\it \_C2}\,\cos \left ( {x}^{b}c \right ) {x}^{a} \right \} \]