LetX =A = [ ³3 5-5 -3and f(t)- [8 +1] =X2(a) Find the complex eigenvalues and eigenvectors of A.(b) Use results of part (a) to derive the general solution of x' = Ax.(c) Use method of undetermined coefficient to find a particular solution of the non-homogeneous equation x' = Ax + f(t).

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Answered: Let I₁ x 3 5 A (a) Find the complex…

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.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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Let I₁ x 3 5 A (a) Find the complex eigenvalues and eigenvectors of A. (b) Use results of part (a) to derive the general solution of x' = Ax. (c) Use method of undetermined coefficient to find a particular solution of the n homogeneous equation x' = Ax+ f(t). and f(t) = = [1 +81]