Find the Laplace transform Y(s) = L[y](s) of the solution of the initial-value problem y" + 2y" - 3y + 2y = f(t), y(0) = 2, y'(0) = -2, y" (0) = 2 where f(t) = 28(t-2) + Do not try to compute y(t). tsin (3t) 0≤t<5 -1 5 ≤t

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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Find the Laplace transform Y(s) = L[y](s) of the solution of the initial-value problem
y" + 2y" - 3y + 2y = f(t), y(0) = 2, y'(0) = -2, y" (0) = 2
where
f(t) = 28 (t-2) +
Do not try to compute y(t).
[tsin (3t) 0<t<5
-1
5 ≤t
Transcribed Image Text:Find the Laplace transform Y(s) = L[y](s) of the solution of the initial-value problem y" + 2y" - 3y + 2y = f(t), y(0) = 2, y'(0) = -2, y" (0) = 2 where f(t) = 28 (t-2) + Do not try to compute y(t). [tsin (3t) 0<t<5 -1 5 ≤t
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