Use the method of UNDETERMINED find the general solution of the following system of DEs: COEFFICIENTS to 2t X = ‹ - ( -; ³ ) x + ( ₂ ) -²². 1 (1). and A1 with corresponding eigenvector (7) (0.1) The eigenvalues of the coefficient matrix are A = 3 with correspond- ing eigenvector

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Q2 a. Please help me out with this question, please step by step Differential Equations
2.
a. Use the method of UNDETERMINED COEFFICIENTS to
find the general solution of the following system of DEs:
*- (- :)*+ (1¹) -
X =
e2t
(0.1)
The eigenvalues of the coefficient matrix are A=3 with correspond-
ing eigenvector
(1).
and A1 with corresponding eigenvector
(³)
Transcribed Image Text:2. a. Use the method of UNDETERMINED COEFFICIENTS to find the general solution of the following system of DEs: *- (- :)*+ (1¹) - X = e2t (0.1) The eigenvalues of the coefficient matrix are A=3 with correspond- ing eigenvector (1). and A1 with corresponding eigenvector (³)
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