H(s) = %3D s2 (s² + 25) nd the value of constant k if L-'{H(s)} = [ k(t – u) sin (5u) du. ence, find the inverse.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the following Laplace Transform.

Given
3
H(s) =
s2(s² + 25)
Find the value of constant k if
L-! {H(s)} =
|
k(t – u) sin (5u) du.
Hence, find the inverse.
Transcribed Image Text:Given 3 H(s) = s2(s² + 25) Find the value of constant k if L-! {H(s)} = | k(t – u) sin (5u) du. Hence, find the inverse.
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