Solve x₁ = x₂, x₂ = -x₁ using the eigenvalue method.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
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![Exercise 3.4.104: Solve x₁ = x₁, x₂ = -x₁ using the eigenvalue method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F760b950f-bf86-4f0e-8f61-09da7fb76390%2Fd426dce0-9574-4bf6-888f-85679d5be739%2F08rekym_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 3.4.104: Solve x₁ = x₁, x₂ = -x₁ using the eigenvalue method.
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Step 1: Write the system of first order ode's
VIEWStep 2: Write the matrix form of the given system and determine tha eigenvalues of the coefficient matrix
VIEWStep 3: Determine the corresponding eigenvectors
VIEWStep 4: Use a substitution
VIEWStep 5: Determine the values of the new variables
VIEWStep 6: Determine the required solutions X1 ,X2
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