\[ \boxed { f \left ( {x}^{c}y \left ( x \right ) \right ) \left ( bx{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -a \right ) -{x}^{a} \left ( y \left ( x \right ) \right ) ^{b} \left ( x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +cy \left ( x \right ) \right ) =0} \]
Mathematica: cpu = 22.563365 (sec), leaf count = 46 \[ \text {DSolve}\left [f\left (x^c y(x)\right ) \left (b x y'(x)-a\right )-x^a y(x)^b \left (c y(x)+x y'(x)\right )=0,y(x),x\right ] \]
Maple: cpu = 0.874 (sec), leaf count = 0 \[ \text {could not solve} \]