(Solved): Let u(x, t) satisfy the PDE utt 9uxx for x ER and t 0. (a) Write down the expression for the cha ...

Let u(x, t) satisfy the PDE utt 9uxx for x ER and t? 0. (a) Write down the expression for the characteristic x = emanating from x = 2 at t = 0. X+(t)= = (b) Suppose u(x,0) = 8 cos(x - 2) and ut (x,0) = 24 sin(x - 2). Then u(35,11) = Number (c) Now, suppose u(x,0) = 8 sin(x-2) and ut (x,0) = 0. u(2,11) = PO AY X+(t)