DSolve[Derivative[1][y][x] == (2*y[x]^8)/(2 + 2*y[x]^2 + 24*x*y[x]^2 + 16*x*y[x]^4 + 96*x^2*y[x]^4 + y[x]^5 + 2*y[x]^6 + 32*x^2*y[x]^6 + 128*x^3*y[x]^6),y[x],x]