Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question
8

Transcribed Image Text:8. Solve the following first order homogeneous linear system of
differential equations
а —в —В
-B a -B
u,
dt
-ß
-B a
where a and B are real nonzero constants. Find a fundamental
matrix and the inverse matrix of the fundamental matrix. Hint:
det(A – AI) = -(A – a – B)²(A – a + 23).
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