Differential Equations Lecture Work Solutions 30

Differential Equations Lecture Work Solutions 30 - 8 6 4 2...

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Unformatted text preview: 8 6 4 2 0 −L L −2 −4 −10 −8 −6 −4 −2 0 2 4 6 8 10 Figure 8: Graph of f (x) 8 6 4 2 0 −4L −3L −2L −L L 2L 3L 4L 2 4 6 8 −2 −4 −10 −8 −6 −4 −2 0 10 Figure 9: Graph of its periodic extension 1. d. Since the periodic extension of f (x) is discontinuous, the Fourier series is identical to (the periodic extension of) f (x) everywhere except at the points of discontinuities. At those points x = ±L (and similar points in each period), we have 3L + (− 1 L) 5 2 =L 2 4 30 ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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