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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 48RE
Topic Video
Question

8

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).
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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