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Find the general solution of the system x'(t) = Ax(t) for the given matrix A. 4 A= 95 x(t) = 9 5|4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 13RE

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Question

Find the general solution of the system x'(t) = Ax(t) for the given matrix A.
A =
x(t) =
54
-9 5

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Step 1: Defining general solution of a system of differential equations using eigenvalues and eigenvectors.

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