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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. x₁ = 6x₁ + 6x₂ + x3, x2 = -10x₁10x₂ - 6x3, x3 = 10x₁ + 10x₂ + 6x3 What is the general solution in matrix form? x(t) =

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. x₁ = 6x₁ + 6x₂ + x3, x2 = -10x₁10x₂ - 6x3, x3 = 10x₁ + 10x₂ + 6x3 What is the general solution in matrix form? x(t) =

Advanced Engineering Mathematics
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. x₁ = 6x₁ + 6x₂ + x3, x2 = 10x₁10x₂ - 6x3, x3 = 10x₁ + 10x2 +6x3 What is the general solution in matrix form? x(t) =
Transcribed Image Text: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. x₁ = 6x₁ + 6x₂ + x3, x2 = 10x₁10x₂ - 6x3, x3 = 10x₁ + 10x2 +6x3 What is the general solution in matrix form? x(t) =
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