Find the following Laplace transform, where u(t−a) is the unit step function: L{u(t−1)e−10tcos(t−1)}=?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the following Laplace transform, where u(t−a) is the unit step function:


L{u(t−1)e−10tcos(t−1)}=?

(image)

(s
А.
8 + 10)e-1(s+10)
(s + 10)2 + 1
-1s
(s + 10)e
В.
s2 + 1
(8 — 10)e(в-10)
С.
(8 – 10)2 +1
-
-10s
se
D.
s2 + 1
(8 — 10)е-(s-1о)
Е.
(8 – 10)2 + 1
-
sels
F.
u(t – 1)
s2 + 1
Transcribed Image Text:(s А. 8 + 10)e-1(s+10) (s + 10)2 + 1 -1s (s + 10)e В. s2 + 1 (8 — 10)e(в-10) С. (8 – 10)2 +1 - -10s se D. s2 + 1 (8 — 10)е-(s-1о) Е. (8 – 10)2 + 1 - sels F. u(t – 1) s2 + 1
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