(1 point) Consider the Boundary-Initial Value problem where bn = and Cn = 8u 0 < x < 4, x u(0, t) = 0, u(4, t) = 0, t> 0 du u(x, 0) = x(4x), (x,0) = 0, t -((16((-1)^n-1))/n^3) Ju t 4 This models the displacement u(x, t) of a freely vibrating string, with fixed ends, initial profile x (4x), and zero initial velocity. The solution u(x, t), is given by the series u(x, t) = 4 773 n=1 t> 0 0 < x < 4 sinn 1x) cos(e t)