Question: Find u(x, t) for the string of length L = 1 and c 2 = 1 when the initial velocity is zero and the initial

Find u(x, t) for the string of length L = 1 and c2 = 1 when the initial velocity is zero and the initial deflection with small k (say, 0.01) is as follows. Sketch or graph u(x, t) as in Fig. 291 in the text.

k (sin πx - 1/2 sin 2πx)

f(x+ f(x+2 f(x+1) f(x+) f(x+4) (x) (x) f(x -) - f(x-1) f(x-)

f(x+ f(x+2 f(x+1) f(x+) f(x+4) (x) (x) f(x -) - f(x-1) f(x-) [f(x - ) 1 FM(x-I) =f(x+I) u(x, 0) t = 0 t = L/5c t=2L/Se t=L/2e t=L/Se t = 4L/5e t = Lle

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