3) Find Fourier series of the following functions: a) f(x) = x², -1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3) Find Fourier series of the following functions:
a) f(x) = x², -1< x <1 and f (x + 2) = f(x)
b) f(x) = |x|, - n< x < n and f (x + 2n) = f (x)
%3|
- 2 < x < 0
c) f(x) =
and f(x + 4) = f(x)
1,
0 < x < 2
Transcribed Image Text:3) Find Fourier series of the following functions: a) f(x) = x², -1< x <1 and f (x + 2) = f(x) b) f(x) = |x|, - n< x < n and f (x + 2n) = f (x) %3| - 2 < x < 0 c) f(x) = and f(x + 4) = f(x) 1, 0 < x < 2
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