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A string is tied to the x-axis at x = 0 and at x = L and its initial displacement u(x, 0) = f(x), 0 < x < L, is shown in the given figure. Find u(x, t) if the string is released from rest. (Let a2 = T/p, where Tis
the magnitude of the tension in the string and p is the mass per unit length. Use a² as the constant in the given boundary-value problem.)
u(x, t) = 0
f(x)
h
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Σ
n = 1
L/3

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