(b) Prove that the Fourier series for f(x) is: 1 f(x) = ²0 (si -20 (sinx + sin3x +sin5x + ...) TU

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Chapter2: Second-order Linear Odes
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Q5 Let f(x) be a function of period 27 such that:
f(x) = {-//;
-5, -1<x<0
0<x<n
f(x)= f(x + 2π)
Transcribed Image Text:Q5 Let f(x) be a function of period 27 such that: f(x) = {-//; -5, -1<x<0 0<x<n f(x)= f(x + 2π)
(b) Prove that the Fourier series for f(x) is:
1
1
(sinx + sin3x + sin5x + ...
+ ...)
20
f(x) = ²0 (si
TU
Transcribed Image Text:(b) Prove that the Fourier series for f(x) is: 1 1 (sinx + sin3x + sin5x + ... + ...) 20 f(x) = ²0 (si TU
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