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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Homogeneous system 

please type instead of handwriting thank you. 

please Answer part c, d and e.

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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