The piecewise function g(t) {} 7t 0 ≤t≤ 5 35 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The piecewise function
g(t)
{}
7t
0 ≤t≤ 5
35
5<t< 9
e2t t≥ 9
-
can be written in the form g(t) = r(t) + p(t) U(t − 5) + q(t) U(t − 9)
(a) Find p(t).
(b) Find q(t).
-
(c) Find the Laplace transform of p(t) U(t − 5).
-
(d) Find the Laplace transform of q(t) U(t – 9).
Transcribed Image Text:The piecewise function g(t) {} 7t 0 ≤t≤ 5 35 5<t< 9 e2t t≥ 9 - can be written in the form g(t) = r(t) + p(t) U(t − 5) + q(t) U(t − 9) (a) Find p(t). (b) Find q(t). - (c) Find the Laplace transform of p(t) U(t − 5). - (d) Find the Laplace transform of q(t) U(t – 9).
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