Find the solution to the initial and final value problem: utt=uxx, 0 ≤ x ≤π ,t>0 ux(0,t)=0, ux(π,t)=0, t>0 u(x,0)= 3cos(2x)+5cos(8x), ut(x,0)=0, 0 ≤ x ≤π.

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