1≤t≤2 2. Determine the Inverse Laplace Transform of 2s³ +25s² +94s + 171 (s + 1)² (s² + 2s +26) 3. Determine the value of h(0) using the initial value theorem. H(s) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Laplace Transforms.
1. Determine the Laplace Transform of the following functions:
a. f(t) = 5t²e-3t + 4e¯t sin(2t)
b. Periodic Signal whose period is defined by
0 ≤t≤1
g(t) = {t
1≤t≤2-
2. Determine the Inverse Laplace Transform of
2s³ +25s² +94s + 171
H(s) =
(s + 1)² (s² +2s +26)
3. Determine the value of h(0) using the initial value theorem.
Transcribed Image Text:Laplace Transforms. 1. Determine the Laplace Transform of the following functions: a. f(t) = 5t²e-3t + 4e¯t sin(2t) b. Periodic Signal whose period is defined by 0 ≤t≤1 g(t) = {t 1≤t≤2- 2. Determine the Inverse Laplace Transform of 2s³ +25s² +94s + 171 H(s) = (s + 1)² (s² +2s +26) 3. Determine the value of h(0) using the initial value theorem.
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