Consider a metal rod (0infinity) ((u(x,t)-a(t)sin(pix))/((a(t)sin(pix)) -> 0.Can you modify the initial data so that this is no longer the case? What is the minimal change that will work (in the sense of changing the norm of the initial data as little as possible)?May you help me with the question below starting from "In Exercise 2 above..." all the way to "as little as possible"? The "Exercise 2 above" in the sentence refers to Exercise 2 on top starting from "Consider a metal rod...." to "1/5 sin(5pix)/l +...)"