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f(t) = < ² F(E + 2") if 0

f(t) = < ² F(E + 2") if 0

Advanced Engineering Mathematics
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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TOU are givertat Lhe TunctTOIT if - T<t<0 if 0<t<T t2 F(t + 2x) for all t has the complex Fourier series (-1)"(in²n? + 2na – 2i) + 2i _int 27 =-00, n40 What is the real Fourier series of this function? [(2 - n²72)(-1)"- 2 cos(nt) 2nt(-1)" sin(nt) 00 1. 2T [(2-n2n)(-1) - 2 cos(nt) +2na(-1)"sin(nt) 3. n=0 2n7(-1)" cos(nt) + (2 – n²m²)(- 1)" - 2 sin(nt) n3= 4nT(-1)" cos(nt) None of these. 26 11T
Transcribed Image Text:TOU are givertat Lhe TunctTOIT if - T<t<0 if 0<t<T t2 F(t + 2x) for all t has the complex Fourier series (-1)"(in²n? + 2na – 2i) + 2i _int 27 =-00, n40 What is the real Fourier series of this function? [(2 - n²72)(-1)"- 2 cos(nt) 2nt(-1)" sin(nt) 00 1. 2T [(2-n2n)(-1) - 2 cos(nt) +2na(-1)"sin(nt) 3. n=0 2n7(-1)" cos(nt) + (2 – n²m²)(- 1)" - 2 sin(nt) n3= 4nT(-1)" cos(nt) None of these. 26 11T
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