If the general formula of the convolution integral is f° f (v– u)g(u)du = L-1{F(s)G(s)}, find 2L {S [cosh(v – u)] u³du} filling the following blanks properly in the process of calculation: a) f(v - и) — b) f(v) = с) д(u) — d) g(v) = e) F(s) = L{f(v)} = f) G(s) = L(g(v)} = g) Therefore, upon calculation, the answer to Laplace Transform of the convolution integral = %3| %3D
If the general formula of the convolution integral is f° f (v– u)g(u)du = L-1{F(s)G(s)}, find 2L {S [cosh(v – u)] u³du} filling the following blanks properly in the process of calculation: a) f(v - и) — b) f(v) = с) д(u) — d) g(v) = e) F(s) = L{f(v)} = f) G(s) = L(g(v)} = g) Therefore, upon calculation, the answer to Laplace Transform of the convolution integral = %3| %3D
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
![2. If the general formula of the convolution integral is
f'f (v- u)g(u)du = L-\{F(s)G(s)},
find
2L{S [cosh(v – u)] u³du}
filling the following blanks properly in the process of calculation:
a) f(v — и) %3D
b) f(v) =.
с) д(u) %3D
d) g(v) =,
e) F(s) = L{f(v)} =
f) G(s) = L(g(v)} =
%3D
g) Therefore, upon calculation, the answer to Laplace Transform of the convolution
integral =
NOTE: Show the complete calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef03a0fb-5d77-4c1f-8168-a6130c604c5f%2Fc9cbf10d-866f-486a-b5e1-cc34eb9973a3%2F735vn_processed.png&w=3840&q=75)
Transcribed Image Text:2. If the general formula of the convolution integral is
f'f (v- u)g(u)du = L-\{F(s)G(s)},
find
2L{S [cosh(v – u)] u³du}
filling the following blanks properly in the process of calculation:
a) f(v — и) %3D
b) f(v) =.
с) д(u) %3D
d) g(v) =,
e) F(s) = L{f(v)} =
f) G(s) = L(g(v)} =
%3D
g) Therefore, upon calculation, the answer to Laplace Transform of the convolution
integral =
NOTE: Show the complete calculation.
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