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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 = 7x₁ + x₂ + x3, X′2 = − 13x₁ − 7x₂ −X3, X'3 = 13x₁ + 13x₂ + 7x3 1- 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 = 7x₁ + x₂ + x3, X′2 = − 13x₁ − 7x₂ −X3, X'3 = 13x₁ + 13x₂ + 7x3 1- 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 = 7x₁ + x₂ + x3, x2 = - 13x₁ - 7x₂ -X3, X'3 = 13x₁ + 13x2 + 7x3 * A What is the general solution in matrix form? x(t) = Jiry
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 = 7x₁ + x₂ + x3, x2 = - 13x₁ - 7x₂ -X3, X'3 = 13x₁ + 13x2 + 7x3 * A What is the general solution in matrix form? x(t) = Jiry
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