Verify that y(t) = A cos(t ) is a solution to the differential equation (1.1.21), where

Chapter 1, Problem 30

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Verify that y(t) = A cos(t ) is a solution to the differential equation (1.1.21), where A and are nonzero constants. Determine the constants A and (with || < radians) in the particular case when theinitial conditions arey(0) = a, dydt (0) = 0.

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