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Consider the following system. 9 -4 0 *- (-:;:;)* X'= 1 0 2 X 0 2.9

Consider the following system. 9 -4 0 *- (-:;:;)* X'= 1 0 2 X 0 2.9

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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8.2 9 Please Help Find X(t)
Consider the following system. 2 - Find the repeated eigenvalue of the coefficient matrix A(t). 9 K-= X' = 1 0 Find an eigenvector for the repeated eigenvalue. [-2,0,1] K = Find the nonrepeating eigenvalue of the coefficient matrix A(t). λ = 0 Find an eigenvector for the nonrepeating eigenvalue. X(t): -4 0 = 0 2 X 29 -2₂ - 9 22,1 Find the general solution of the given system. 9 -₂-2-2-1] c₁e⁹[-2,0,1] + C₂ X
Transcribed Image Text:Consider the following system. 2 - Find the repeated eigenvalue of the coefficient matrix A(t). 9 K-= X' = 1 0 Find an eigenvector for the repeated eigenvalue. [-2,0,1] K = Find the nonrepeating eigenvalue of the coefficient matrix A(t). λ = 0 Find an eigenvector for the nonrepeating eigenvalue. X(t): -4 0 = 0 2 X 29 -2₂ - 9 22,1 Find the general solution of the given system. 9 -₂-2-2-1] c₁e⁹[-2,0,1] + C₂ X
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