diff(y(x),x) = -1296*y(x)/(216-432*x*y(x)-648*x^2*y(x)+216*x*y(x)^2-1296*y(x)+216*x^3+216*x^2-2376*y(x)^2-1728*y(x)^3+1080*x*y(x)^3-324*x^2*y(x)^3-648*x^2*y(x)^2-1944*y(x)^4-126*y(x)^10-315*y(x)^9-8*y(x)^12-36*y(x)^11-846*y(x)^7+72*y(x)^8*x+216*y(x)^7*x+1080*y(x)^5*x-570*y(x)^8+594*x*y(x)^6-216*x^2*y(x)^4-882*y(x)^6-612*y(x)^5+1152*x*y(x)^4)