Suppose that Show that e At = I cos 2t + 1/2 Asin 2t . Apply this

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Suppose that

Show that e^At = I cos 2t + 1/2 Asin 2t . Apply this fact to find a general solution of x' = Ax, and verify that it is equivalent to the solution found by the eigenvalue method.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 30, 2023 06:08 AM

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Suppose that Show that e At = I cos 2t + 1/2 Asin 2t . Apply this

Question:

-[- A = 0 -2 2 20 0

Step by Step Answer:

In order to demonstrate that cos2 1 2 sin2 e We can apply the matrix exponentials Taylor series expansion at Icos2t 2 1 Asin2t 0 Let e k 0 k At k Lets ...View the full answer

Differential Equations And Linear Algebra

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