Consider a string of length plucked at the right end and fixed at the left. The functional form of this configuration is
(1)
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The components of the Fourier series are therefore given by
(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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The Fourier series is therefore given by
(10)
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(11)
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(12)
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