Find the inverse Laplace transforms of the following using the second shift theorem. Note: Write "H(t-a)" for Heaviside functions; and "Pi" for T, and hyperbolic functions if needed. (1) L-1A= s+4 (ii) L-"( = 82+4 (iii) Which of the following is L- H(t) (et-* – et-r) ,3t-T ,3t-1 2 H(t-T) (e(t-n) – e(-t+r)) H(t-n) O H(t-n) 3t

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the inverse Laplace transforms of the following using the second shift theorem.
Note: Write "H(t-a)" for Heaviside functions; and "Pi" for T, and hyperbolic functions if needed.
(1) L-"
s+4
(ii) L-|
2+4
(iii) Which of the following is L-
s2_9
H(t)
(et- – e3t-")
2
o H(t-m) (e3(t-«) – e3(-t+#))
6
H(t-T)
,3(t-T)
6
O H(t-m) (e³t – e)
Transcribed Image Text:Find the inverse Laplace transforms of the following using the second shift theorem. Note: Write "H(t-a)" for Heaviside functions; and "Pi" for T, and hyperbolic functions if needed. (1) L-" s+4 (ii) L-| 2+4 (iii) Which of the following is L- s2_9 H(t) (et- – e3t-") 2 o H(t-m) (e3(t-«) – e3(-t+#)) 6 H(t-T) ,3(t-T) 6 O H(t-m) (e³t – e)
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