Let L{y(t)} = Y (s). Which of the following can be obtained when Laplace transform applied to the initial value problem dy - 3y = e-2", dx У (0) — 1. s+2 а) Y(s) (s+3)(s-3) s+1 b) Y(s) (s+2) s+3 с) Y(s) (s+2)(s-3) s+2 d) Y(s) (s+2)(s-2) e) Y(s) (s+2) (s-3)

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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Let L{y(t)} = Y (s). Which of the following can be obtained when Laplace
transform applied to the initial value problem
dy
- 3y = e-2",
dx
У (0) — 1.
s+2
а) Y(s)
(s+3)(s-3)
s+1
b) Y(s)
(s+2)
s+3
с) Y(s)
(s+2)(s-3)
s+2
d) Y(s)
(s+2)(s-2)
e) Y(s)
(s+2) (s-3)
Transcribed Image Text:Let L{y(t)} = Y (s). Which of the following can be obtained when Laplace transform applied to the initial value problem dy - 3y = e-2", dx У (0) — 1. s+2 а) Y(s) (s+3)(s-3) s+1 b) Y(s) (s+2) s+3 с) Y(s) (s+2)(s-3) s+2 d) Y(s) (s+2)(s-2) e) Y(s) (s+2) (s-3)
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