If F (S), G (S) is a Laplace transform of the two functions f (x), g (x), respectively. So probve that F(S) =SG(S). If yo know that: sinu f(x)= cos.x cosu du + sin. %3D np- cos u sinu du du - g(x) = sinx] 2au - cos x
If F (S), G (S) is a Laplace transform of the two functions f (x), g (x), respectively. So probve that F(S) =SG(S). If yo know that: sinu f(x)= cos.x cosu du + sin. %3D np- cos u sinu du du - g(x) = sinx] 2au - cos x
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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
Transcribed Image Text:If F (S), G (S) is a Laplace transform of the two functions
f (x), g (x), respectively. So probve that F(S) =SG(S). If yo
know that:
sin u
du
cosu
f(x)= cos.x
du + sin x
sinu
du
cosu
g(x) = sin x|
du - cos x
%3D
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