\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( a{x}^{n}+bx \right ) \left ( y \left ( x \right ) \right ) ^{3}-c \left ( y \left ( x \right ) \right ) ^{2}=0} \]
Mathematica: cpu = 36.628151 (sec), leaf count = 33 \[ \text {DSolve}\left [y(x)^3 \left (-\left (a x^n+b x\right )\right )-c y(x)^2+y'(x)=0,y(x),x\right ] \]
Maple: cpu = 1.232 (sec), leaf count = 0 \[ \text {could not solve} \]
Sage: cpu = 0 (sec), leaf count = 0 \[ \text {Maxima was unable to solve this ODE} \]