In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. x'1 = 5x1 + 5x2 + 2x3, x'2 = -6x1 - 6x2- 5x3, x'3 = 6x1 + 6x2 + 5x3

In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system. x'1 = 5x1 + 5x2 + 2x3, x'2 = -6x1 - 6x2- 5x3, x'3 = 6x1 + 6x2 + 5x3

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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Question

In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and factoring. Apply the eigenvalue method to find a general solution of each system.

x'₁ = 5x₁ + 5x₂ + 2x₃, x'₂ = -6x₁ - 6x₂- 5x₃,

x'₃ = 6x₁ + 6x₂ + 5x₃

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