Consider the system x' AX, where A is 2 2 matrix. If 0(x)=| is the F.M. for 2e" 4e' given system. Then e" for the given system is e" eT-0.5 1 2e" 4e 0.5 -2 0.5] 2e" 4e-0.51 2 -0.5 0.5 1 0.5] 2e" 4e 0.5

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the system X' = AX, where A is 2x2 matrix. If D(x)
is the F.M. for
%3D
2e" 4e
given system. Then e" for the given system is
et
eT-0.5
1
2e"
4e 0.5
-2
0.57
2e" 4e'
-0,5
e e'2 -0.5]
2e" 4e-1
0.5
0.5]
2e 4e-0.5 0
1
MEDIA
Transcribed Image Text:Consider the system X' = AX, where A is 2x2 matrix. If D(x) is the F.M. for %3D 2e" 4e given system. Then e" for the given system is et eT-0.5 1 2e" 4e 0.5 -2 0.57 2e" 4e' -0,5 e e'2 -0.5] 2e" 4e-1 0.5 0.5] 2e 4e-0.5 0 1 MEDIA
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