Find the Laplace Transformation of y" +3y' + 2y = 4e" when y (0) = 0, y' (0) = 3 O Y (s) = 3s+1 3+2s2-s-2 3s-1 Ο Y(s) - 3+2s2-s-2 2s+3 O (s) = %3D +s-s-2

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 Transformation of
y" +3y' + 2y = 4e"
when y (0) = 0, y' (0) = 3
%3D
Ο Y(s) -
3s+1
3+2s2 -8-2
Ο Y (s)
3s-1
3+2s2 -8-2
2s+3
Ο Y (s)
3+s-8-2
3s+3
Y (s) =
Ο Y(s)
3+2s2-8-2
3s+1
Y (s) =
Ο Y(s)
s+3s2-s-2
2s+1
O Y (s) =
s3+2s2 -s-1
3s-2
Ο Y(s)
3+2s2+8-2
2s-1
Ο Y(s)
3+2s2-s-2
Transcribed Image Text:Find the Laplace Transformation of y" +3y' + 2y = 4e" when y (0) = 0, y' (0) = 3 %3D Ο Y(s) - 3s+1 3+2s2 -8-2 Ο Y (s) 3s-1 3+2s2 -8-2 2s+3 Ο Y (s) 3+s-8-2 3s+3 Y (s) = Ο Y(s) 3+2s2-8-2 3s+1 Y (s) = Ο Y(s) s+3s2-s-2 2s+1 O Y (s) = s3+2s2 -s-1 3s-2 Ο Y(s) 3+2s2+8-2 2s-1 Ο Y(s) 3+2s2-s-2
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