Taking inverse Laplace on both sides, we get 6s+16 . (s+2)(s-2) 7 1 s-2 s+2 L-1{Y(s)} = L { = =7e2t-e -2t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Taking inverse Laplace on both sides, we get
6s+16
{ { = - 2 ) }
1
s+2
L¯¹{Y(s)} = L¯
7
e-¹ts S-2
= 7e²t-e -2t
= L
Transcribed Image Text:Taking inverse Laplace on both sides, we get 6s+16 { { = - 2 ) } 1 s+2 L¯¹{Y(s)} = L¯ 7 e-¹ts S-2 = 7e²t-e -2t = L
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