2. Find the laplace transform of the following: а) у" + 2у "- у' — 2у %3D 4 + е2 Уо) 3 1, у (о) 3D 0, у"о 3-1 Ys Ans: s* - 6s? + 9s - 8 s (s-2)(s + 2s? - s - 2)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2. Find the laplace transform of the following:
а) у" + 2y "- у'- 2у %3D 4 + е,: Ую 3D 1, у (о) %3D 0, у "о, 3-1
= 4 + e* : Ye) = 1, y 'o) = 0, y "o) = -1
s* - 6s? + 9s - 8
Ys
Ans:
%D
s (s-2)(s + 2s² - s - 2)
3
Transcribed Image Text:2. Find the laplace transform of the following: а) у" + 2y "- у'- 2у %3D 4 + е,: Ую 3D 1, у (о) %3D 0, у "о, 3-1 = 4 + e* : Ye) = 1, y 'o) = 0, y "o) = -1 s* - 6s? + 9s - 8 Ys Ans: %D s (s-2)(s + 2s² - s - 2) 3
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