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Consider the following nonhomogeneous system. X'= * = (-; ) x + (-3) ²² Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K₁ = K₂ = Find the fundamental matrix for the system. (Enter exp(n) for e.) o(t) = 11 Find the general solution of the given system. X(t) =

Consider the following nonhomogeneous system. X'= * = (-; ) x + (-3) ²² Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K₁ = K₂ = Find the fundamental matrix for the system. (Enter exp(n) for e.) o(t) = 11 Find the general solution of the given system. 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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Consider the following nonhomogeneous system. 04 X' = x^² - ( _ : _ ² ) x + ( ² ) ₁² X 9 et Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K₁ = K₂ = Find the fundamental matrix for the system. (Enter exp(n) for e^.) o(t) = C Find the general solution of the given system. X(t) =
Transcribed Image Text:Consider the following nonhomogeneous system. 04 X' = x^² - ( _ : _ ² ) x + ( ² ) ₁² X 9 et Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue. If there is only one repeated eigenvalue, enter the eigenvector in each answer blank.) K₁ = K₂ = Find the fundamental matrix for the system. (Enter exp(n) for e^.) o(t) = C Find the general solution of the given system. X(t) =
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