Compute the Laplace transform of f(t) = t: L{t}(s) = √° te || = 0 = U= t t(e^-(st)/-s) 0 du = 1dt te-st dt 1/s^2 ∞ 10 - - 0 0 dv=e^(-st)dt v = (e^(-st))/-s ∞ -1/s^2 e^(-st)/-sdt + (1/s^2)
Compute the Laplace transform of f(t) = t: L{t}(s) = √° te || = 0 = U= t t(e^-(st)/-s) 0 du = 1dt te-st dt 1/s^2 ∞ 10 - - 0 0 dv=e^(-st)dt v = (e^(-st))/-s ∞ -1/s^2 e^(-st)/-sdt + (1/s^2)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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
Transcribed Image Text:Compute the Laplace transform of f(t) = t:
L{t}(s) = f te
=
=
0
u = t
t(e^-(st)/-s)
0
du = 1dt
te-st dt
= 1/s^2
8
-
10 - ²0
-
dv = e^(-st)dt
0
v = (e^(-st))/-s
-1/s^2
e^(-st)/-sdt
+ (1/s^2)
8
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