If a vibrating string satisfying (4.4.1)(4.4.3) is initially at rest, g(x) = 0, show
Chapter 4, Problem 4.4.7(choose chapter or problem)
If a vibrating string satisfying (4.4.1)(4.4.3) is initially at rest, g(x) = 0, show that u(x, t) = 1 2 [F(x ct) + F(x + ct)], where F(x) is the odd-periodic extension of f(x). [Hints: 1. For all x, F(x) = n=1 An sin nx L . 2. sin a cos b = 1 2 [sin(a + b) + sin(a b)].]
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