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 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 =
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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