₂8(x)e³x dr 8(x + x) sin(x)dr

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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Question 1
1. 28(x)e³ da
2. 8(x+7) sin(x) dx
Question 2
The function s(t) has a Fourier transform F[s] (w)=sin(w). Find the Fourier transforms of:
1. s(t-2)
2. s(2t)
Shift and stretch theorems:
g(t) = f(tc): F[g](w) =
= e-iew F[f](w)
g(t) = f(et) : F[g](w) = - F[f](~)
Transcribed Image Text:Question 1 1. 28(x)e³ da 2. 8(x+7) sin(x) dx Question 2 The function s(t) has a Fourier transform F[s] (w)=sin(w). Find the Fourier transforms of: 1. s(t-2) 2. s(2t) Shift and stretch theorems: g(t) = f(tc): F[g](w) = = e-iew F[f](w) g(t) = f(et) : F[g](w) = - F[f](~)
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