2. If the general formula of the convolution integral is ff (v – u)g(u)du = L-{F(s)G(s)}, find 2L{S [cosh(v – u)]u²du} filling the following blanks properly in the process of calculation: a) f(v – u) =. b) f(v) = c) g(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 =, %3D %3D
2. If the general formula of the convolution integral is ff (v – u)g(u)du = L-{F(s)G(s)}, find 2L{S [cosh(v – u)]u²du} filling the following blanks properly in the process of calculation: a) f(v – u) =. b) f(v) = c) g(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 =, %3D %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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![2. If the general formula of the convolution integral is
Lf (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 – u) =,
b) f(v) =,
c) g(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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbcb7bce0-3dab-4b2c-863f-9e807c564aff%2F3805f283-1014-4e70-8894-21910bc607d1%2Fhdia58h_processed.png&w=3840&q=75)
Transcribed Image Text:2. If the general formula of the convolution integral is
Lf (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 – u) =,
b) f(v) =,
c) g(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 =
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