You are given that the function 0. if -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You are given that the function
if
f - 7<t<0
f(t) = 〈だ
if 0 <t< T
f(t+2n) for all t
has the complex Fourier series
(-1)"(in?n? + 2nn
21) + 2i
int
2T
72
What is the real Fourier series of this function?
[(2
n²n²)(-1)"-2] cos(nt) 2n7(-1)" sin(nt)
1
6.
[(2 n²)(-1)"
2 cos(nt) +2na 1) sin(nt)
2nT(-1)" cos(nt) + [(2 n2r)((-1)" 2 sin(nt)
4n (
1)" cos(nt)
3
27
None of these.
+.
1/5
Transcribed Image Text:You are given that the function if f - 7<t<0 f(t) = 〈だ if 0 <t< T f(t+2n) for all t has the complex Fourier series (-1)"(in?n? + 2nn 21) + 2i int 2T 72 What is the real Fourier series of this function? [(2 n²n²)(-1)"-2] cos(nt) 2n7(-1)" sin(nt) 1 6. [(2 n²)(-1)" 2 cos(nt) +2na 1) sin(nt) 2nT(-1)" cos(nt) + [(2 n2r)((-1)" 2 sin(nt) 4n ( 1)" cos(nt) 3 27 None of these. +. 1/5
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