Consider the matrix (2eat ebt tebt (t) = | aeat Bebe aeat Find the values of a, ß, y, a, b ER such that O(t) is the fundamental matrix of the system (2 1 1\ х'() — (о 2 1| x(). 0 0 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the matrix
2eat ebt
(t) = | aeat
tebt y
Bebt
aeat
Find the values of a, B, y, a, b ER such that O(t) is the fundamental matrix of the
system
(2 1
x'(t)
0 2 1 X(t).
=
0 0 3
Transcribed Image Text:Consider the matrix 2eat ebt (t) = | aeat tebt y Bebt aeat Find the values of a, B, y, a, b ER such that O(t) is the fundamental matrix of the system (2 1 x'(t) 0 2 1 X(t). = 0 0 3
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