\[ -a \left (x^n-x\right ) y(x)^3+y'(x)-y(x)^2=0 \] ✗ Mathematica : cpu = 28.4705 (sec), leaf count = 0
, could not solve
DSolve[-y[x]^2 - a*(-x + 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-x)*y(x)^3-y(x)^2 = 0,y(x))