Question: 3. A tightly stretched string of length has its ends fastened at x = 0 and x = 1. The mid point of the

3. A tightly stretched string of length has its ends fastened at x = 0 and x = 1. The mid point of the string is then taken to height h and then released with initial velocity zero. Find the displacement of the string at every x and at every time t. Ans: u(x,t) = = n=1 Cn sin (nx) COS $ (nct), = 8h n sin (1) 2

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