DSolve[Derivative[1][y][x] == (-216*y[x]*(6 + 6*x - 6*y[x] - 6*y[x]^2 - 3*y[x]^3 - 2*y[x]^4))/(216*x^3 - 1296*y[x] - 1296*x*y[x] - 648*x^2*y[x] - 1296*y[x]^2 - 1944*x*y[x]^2 - 648*x^2*y[x]^2 + 1728*y[x]^3 - 648*x*y[x]^3 - 324*x^2*y[x]^3 + 2808*y[x]^4 - 432*x*y[x]^4 - 216*x^2*y[x]^4 + 4428*y[x]^5 + 1080*x*y[x]^5 + 2484*y[x]^6 + 594*x*y[x]^6 + 594*y[x]^7 + 216*x*y[x]^7 - 18*y[x]^8 + 72*x*y[x]^8 - 315*y[x]^9 - 126*y[x]^10 - 36*y[x]^11 - 8*y[x]^12),y[x],x]