Differential Equations Lecture Work Solutions 27

Differential Equations Lecture Work Solutions 27 - 3 2.5 2...

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Unformatted text preview: 3 2.5 2 1.5 1 0.5 0 −L L −0.5 −1 −8 −6 −4 −2 0 2 4 6 8 Figure 2: Graph of f (x) = 1 3 2.5 2 1.5 1 0.5 0 −3L −2L −L L 2L 3L 2 4 6 −0.5 −1 −8 −6 −4 −2 0 8 Figure 3: Graph of its periodic extension 1. a. f (x) = 1 Since the periodic extension of f (x) is continuous, the Fourier series is identical to (the periodic extension of) f (x) everywhere. 27 ...
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