Assume that f(t) is a known continuous function on [0,infinity) and lim of f(t)=2005 as t goes to infinity. Consider a 1st order differential equation dy/dt + 409y = f(t) a)Solve and write the general solution yg(t) in terms of f(t)? b)Prove that lim of yg(t) = 2005/409 as t goes to infinity? Find the general solution of dy/dt = -x/y + ( (x/y)^2 + 1 ) ^ 0.5 and let u=y/x