Question: (a) For what nonzero values of does the function y = sin kt satisfy the differential equation yn + 9y = 0? (b) For those

(a) For what nonzero values of does the function y = sin kt satisfy the differential equation yn + 9y = 0?
(b) For those values of k, verify that every member of the family of functions y = A sin kt + B cos kt is also a solution.

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