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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Answer 1

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Chapter 5.1, Problem 25P

Program Plan Intro

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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Answer 2

Question

Chapter 5.1, Problem 25P

Program Plan Intro

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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Answer 3

Question

Chapter 5.1, Problem 25P

Program Plan Intro

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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Answer 4

Question

Chapter 5.1, Problem 25P

Program Plan Intro

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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Answer 5

Chapter 5.1, Problem 25P

Program Plan Intro

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.

Answer 6

Chapter 5.1, Problem 25P

Program Plan Intro

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.

Answer 7

Chapter 5.1, Problem 25P

Program Plan Intro

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.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 5.1 - Let A=[2347] and B=[3451]. Find (a) 2A+3B; (b)...Ch. 5.1 - Prob. 2P Ch. 5.1 - Find AB and BA given A=[203415] and B=[137032].Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

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.

Solution Summary: The author explains the purpose of the problem, which is to write the general solution to the system of differential equations.

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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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Chapter 5 Solutions