Q.3 (a) If F(a) = F{S(1)} is the Fourier transform of f(x), then show thatF{f(ax – b)} =reiab/a F (), where a and b are real numbers with a + 0.(b) Useand L {sin(2t)} =g2 + 4to find C-130.4 Consider the initial-boundary value problem

Answered: Image /qna-images/answer/96e197a2-25f8-4aca-8fc0-e25e1a99feea.jpg

Q.3 (a) If F(a) = F{{(x)} is the Fourier transform of f(z), then show that F{f(ax - b)} = Ja where a and b are real numbers with a +0. (b) Use £{/ 1(-)dr} = and L fsin(21)} = 1 to find C-1! 1 %3D s2 + 4

Q.3 (a) If F(a) = F{{(x)} is the Fourier transform of f(z), then show that F{f(ax - b)} = Ja where a and b are real numbers with a +0. (b) Use £{/ 1(-)dr} = and L fsin(21)} = 1 to find C-1! 1 %3D s2 + 4

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

Q.3 (a) If F(a) = F{S(1)} is the Fourier transform of f(x), then show that
F{f(ax – b)} =
reiab/a F (), where a and b are real numbers with a + 0.
(b) Use
and L {sin(2t)} =
g2 + 4
to find C-1
3
0.4 Consider the initial-boundary value problem

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