\[ y(x)^3 \left (-\left (a x^n+b x\right )\right )-c y(x)^2+y'(x)=0 \] ✗ Mathematica : cpu = 38.0406 (sec), leaf count = 0 , could not solve
DSolve[-(c*y[x]^2) - (b*x + a*x^n)*y[x]^3 + Derivative[1][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x)-(a*x^n+b*x)*y(x)^3-c*y(x)^2 = 0,y(x))