Program Description: Purpose of the problem is to verify that general solution of x ′ = A x found by the eigenvalue method is equivalent to the general solution found by using the fact that e A t = I cos 2 t + 1 2 A sin 2 t for matrix A = [ 0 2 − 2 0 ] .

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Answer 1

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Chapter 5.6, Problem 34P

Program Plan Intro

Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

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Answer 2

Question

Chapter 5.6, Problem 34P

Program Plan Intro

Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

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Answer 3

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Chapter 5.6, Problem 34P

Program Plan Intro

Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

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Answer 4

Question

Chapter 5.6, Problem 34P

Program Plan Intro

Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

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Answer 5

Chapter 5.6, Problem 34P

Program Plan Intro

Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

Answer 6

Chapter 5.6, Problem 34P

Program Plan Intro

Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

Answer 7

Chapter 5.6, Problem 34P

Program Plan Intro

Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

Answer 8

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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 the problem is to verify that general solution of x ′ = A x found by the eigenvalue method is equivalent to the general solution found by using the fact that e A t = I cos 2 t + 1 2 A sin 2 t for matrix A = [ 0 2 − 2 0 ] .

Solution Summary: The author explains that the coefficient matrix A for homogeneous system xprime=Ax is written below.

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Program Description: Purpose of the problem is to verify that general solution of x′=Ax found by the eigenvalue method is equivalent to the general solution found by using the fact that eAt=Icos2t+12Asin2t for matrix A=[02−20] .

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Chapter 5 Solutions