The solution of the wave equation Urx = 16 Utt, 0 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u (ac, 0) = 0 and ut(2, 0) = 3 sin(7x) - 2 sin(37x) is u(x, t) = _ sin nxx -3 ) an COS ( 3) Annt ) + bn sin ( Annt 3 , where n=1 O a) bg = 3, bg = -2, bn = 0 otherwise, an = 0 for all n > 1 b) None of these Oca3 = 3, ag = -2, an = 0 otherwise, bn = 0 for all n 2 1 O d) a 3 = ATT ' 3 ag = - 1 67 , an = 0 otherwise, bn = 0 for all n21 Oel b3 = , = - 67) On = 0 otherwise, an = 0 for all n z1