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
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
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff926af1f-7fd5-423f-8eb0-0451845764b2%2Fe834095e-4b3a-4c13-b169-b9960e3c54e4%2Fpfadmf_processed.jpeg&w=3840&q=75)
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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