(1, 0 2 L (2) = + e (-!) te-2s (s-1) S (음 + 1) O. e2 L (y) = -2s e - s2 ( (s-1) °L (y) = -2s e (s+1) L (y) = e (s-1)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the laplace transform of the piecewise function:
(1, 0<t <2
y%3D
let,
t 2
°L (1) = } + e-2« ( )
te-28
(s-1)
S
°L (1) = -e " (+)
-2s
82
(s-1)
-2s
e
L (y) =
(s+1)
L(y) = e-2s
= e-2* ()
(s-1)
Transcribed Image Text:Find the laplace transform of the piecewise function: (1, 0<t <2 y%3D let, t 2 °L (1) = } + e-2« ( ) te-28 (s-1) S °L (1) = -e " (+) -2s 82 (s-1) -2s e L (y) = (s+1) L(y) = e-2s = e-2* () (s-1)
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