Find the Laplace Transformation of y" +3y + 2y = 4e-32 = 4 when y (0) = 2, y (0) %3D 28-16s+32 O Y (s) = 16s² +11s+6 2s+16s+30 O Y (s) = +692+12s+6 %3D 2s+12s-34 O (s) = %3D g+6s2+11s+6 2s+16s+32 O Y (8) = F+6s²+12s+6 %3D O (s) = 2s+12s+34 g+632+12s+6 25+14s+34 OY (s) = +65²+12s+6 %3D 25+16s+34 O Y (s) = +63²+11s+6 %3D 2s+6s+34 OY (s) = +637+12s+6 %3D

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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Find the Laplace Transformation of
y" +3y + 2y = 4e-3%
when y (0) = 2, y (0) = 4
%3D
2s2-16s+32
O Y (s)
+6s2+11s+6
O Y (s) =
2s2+16s+30
s3+6s2+12s+6
%3D
2s2+12s-34
O Y (s) =
%3D
53+6s2+11s+6
O Y (s) =
2s2+16s+32
%3D
s3+6s2+12s+6
O (s):
2s2+12s+34
%3D
s+6s2+12s+6
O (s) =
2s2+14s+34
%3D
$3+6s2+12s+6
O Y (s):
2s2+16s+34
g3+6s2+11s+6
%3D
2s2+6s+34
O Y (s) =
%3D
3+6s2+12s+6
Transcribed Image Text:Find the Laplace Transformation of y" +3y + 2y = 4e-3% when y (0) = 2, y (0) = 4 %3D 2s2-16s+32 O Y (s) +6s2+11s+6 O Y (s) = 2s2+16s+30 s3+6s2+12s+6 %3D 2s2+12s-34 O Y (s) = %3D 53+6s2+11s+6 O Y (s) = 2s2+16s+32 %3D s3+6s2+12s+6 O (s): 2s2+12s+34 %3D s+6s2+12s+6 O (s) = 2s2+14s+34 %3D $3+6s2+12s+6 O Y (s): 2s2+16s+34 g3+6s2+11s+6 %3D 2s2+6s+34 O Y (s) = %3D 3+6s2+12s+6
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