1 16. The solution of the wave equation urr = -Utt, 0 0, which satisfies the 4 boundary conditions u(0, t) = 0 and u(3, t) = 0, and the initial conditions u(x, 0) = 2sin(x) - sin ($2) and ut(x, 0) = sin(x) - 2 sin(37x), is u(x, t) = ) 2nut 2nut sin 3 an COS + bn sin 3 3 n=1 where (a) al = -1, a3 = 2, b3 = 1, bg = -2, an = bn = 0 otherwise (b) a1 = -1, a2 = 2, b3 = 1, bg = -2, an = bn =0 otherwise 1 1 (c) a1 = -1, a3 = 2, b3 = , bg = - , an = bn =0 otherwise 2TT 3TT (d) a1 = -1, a3 = 2, b3 = 27, bg = -37, an = bn = 0 otherwise (e) None of the above