The options for matching the values of c1 and c2 are -4 through 1. Consider the linear system y' (t) = Ay(t) where the real matrix A has an[2²4]eigenvalue X = −1+i with associated eigenvector v =Assume your real solution is in the formcos(t)2 cos(t) + sin(t)Match a and b to the correct valuesa = [c1]andb = [c2].y(t) = e-t=e-¹ [20y₁ (t)]Y₂ (t).=(t)c wherea sin(t)(bcos(t)) + 2 sin(t).6)].

Introduction: A set of linear equations is connected to a vector called the eigenvector. Latent,…

Answered: Consider the linear system y' (t) =…

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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Consider the linear system y' (t) = Ay(t) where the real matrix A has an [2²4] · eigenvalue X = −1+i with associated eigenvector v = [y₁ (t)] Assume your real solution is in the form (t)e where