Consider the following system. dx dt dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = = 2x + 3y K₂ Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ = 6x + 5y Find the general solution of the given system. (x(t), y(t)):

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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Consider the following system.
λ =
dy
dt
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
dx
dt
K₁ =
= 2x + 3y
K₂ =
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
= 6x + 5y
Find the general solution of the given system.
(x(t), y(t)) =
Transcribed Image Text:Consider the following system. λ = dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) dx dt K₁ = = 2x + 3y K₂ = Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) = 6x + 5y Find the general solution of the given system. (x(t), y(t)) =
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