4ur. Consider the wave equation Utt = Suppose that you are given two sets of initial conditions, v(x,0) = vo(x) = sin(x), V+(2,0) = v1(x) = 0, 1 of 2 and w(x,0) = wo(x) = 3 cos(x), W+(x,0) = w1(x) = f(x), where 1, | | 1. Without solving these systems, determine an upper bound on the difference between the solutions at t= 234. 4ur. Consider the wave equation Utt = Suppose that you are given two sets of initial conditions, v(x,0) = vo(x) = sin(x), V+(2,0) = v1(x) = 0, 1 of 2 and w(x,0) = wo(x) = 3 cos(x), W+(x,0) = w1(x) = f(x), where 1, | | 1. Without solving these systems, determine an upper bound on the difference between the solutions at t= 234