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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Chapter 5.6, Problem 34P

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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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