(Nnx a) Prove that the set of functions {sin ()} n = 1,2,3, … is orthogonal on x E [0, L]. ... L. -π

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(Nnx
a) Prove that the set of functions {sin ()}
n = 1,2,3, … is orthogonal on x E [0, L].
...
L.
-π<x 0
b) Given the function f (x) = n - x, 0<x <I
50,
provide a sketch of the periodic extension for
хе (-Зп, Зп).
c) Find the Fourier expansion of the function in b).
Transcribed Image Text:(Nnx a) Prove that the set of functions {sin ()} n = 1,2,3, … is orthogonal on x E [0, L]. ... L. -π<x 0 b) Given the function f (x) = n - x, 0<x <I 50, provide a sketch of the periodic extension for хе (-Зп, Зп). c) Find the Fourier expansion of the function in b).
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