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