The eigenvalues of the coefficient matrix can be found by inspection orfactoring. Apply the eigenvalue method to find a general solution of the system.×₁ = 9x1 + 3x2 + 9x3, x2' = 3x₁ + 15×2 + 3x3, x3' = 9x1 + 3x2 +9x3What is the general solution in matrix form?x(t) =

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Answered: The eigenvalues of the coefficient…

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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The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system. ×₁ = 9x1 + 3x2 + 9x3, x2' = 3x₁ + 15×2 + 3x3, x3' = 9x1 + 3x2 +9x3 What is the general solution in matrix form? x(t) =