Homogeneous system  please type instead of handwriting thank you.  please Answer parts d, e, and f. dx/dt =4x +5y dy/dt= -4y-4y a) Find the characteristic values b)solve for the eigenvalues c)solve for the eigenvector d)write the eigenvectors as a sum of 2 vectors e)determine the 2 solutions of the system in matrix form f)write out the general solution of the system as a linear combination of the 2 solutions

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 29E
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Homogeneous system 

please type instead of handwriting thank you. 

please Answer parts d, e, and f.

dx/dt =4x +5y

dy/dt= -4y-4y

a) Find the characteristic values

b)solve for the eigenvalues

c)solve for the eigenvector

d)write the eigenvectors as a sum of 2 vectors

e)determine the 2 solutions of the system in matrix form

f)write out the general solution of the system as a linear combination of the 2 solutions

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