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By the odd extension method applied to the function f(x)=e-2=, where r > 0, the Fourier integral of f(x) is given by 2 w cos(wx) dw 4+ w? 00 2 w sin(wx) dw 4+ w? 00 1. 0. 2. 2 w sin(wx) dw 00 4 – w? 2 sin(wr) 00 dw T 4+w² 4. 3.

By the odd extension method applied to the function f(x)=e-2=, where r > 0, the Fourier integral of f(x) is given by 2 w cos(wx) dw 4+ w? 00 2 w sin(wx) dw 4+ w? 00 1. 0. 2. 2 w sin(wx) dw 00 4 – w? 2 sin(wr) 00 dw T 4+w² 4. 3.

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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By the odd extension method applied to the function f(x) = e-2", where a > 0, the Fourier integral of f(x) is given by 00 2 w cos(wx) dw 4+w? 1. 00 2 w sin(wr) 2. dw 4+w? 00 2 w sin(wr) 3. dw 4 – w? 2 sin(wx) dw T 4+ w? 00 4.
Transcribed Image Text:By the odd extension method applied to the function f(x) = e-2", where a > 0, the Fourier integral of f(x) is given by 00 2 w cos(wx) dw 4+w? 1. 00 2 w sin(wr) 2. dw 4+w? 00 2 w sin(wr) 3. dw 4 – w? 2 sin(wx) dw T 4+ w? 00 4.
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