Program Description: Purpose of problem is to write the general solution of the system x ′ = [ 4 − 3 6 − 7 ] x ; x 1 = [ 3 e 2 t 2 e 2 t ] and x 2 = [ e − 5 t 3 e − 5 t ] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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Chapter 5.1, Problem 25P

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Program Description: Purpose of problem is to write the general solution of the system x′=[4−36−7]x;x1=[3 e 2t2 e 2t] and x2=[ e −5t3 e −5t] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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