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Express the solution of the given initial value problem as a sum of two oscillations. Primes denote derivatives with respect to time t. Graph the solution function x(t) in such a way that you can identify and label its period. x" +36x=64 cos 2t; x(0) = x'(0) = 0 Express the solution of the given initial value problem as a sum of two oscillations. x(t) = (Simplify your answer. Type an exact answer, using radicals as needed.) Graph the solution function x(t). Choose the correct graph below. OA. AMAN Identify the period. B. P= (Type an exact answer in terms of x.) C. O D.
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Transcribed Image Text:Express the solution of the given initial value problem as a sum of two oscillations. Primes denote derivatives with respect to time t. Graph the solution function x(t) in such a way that you can identify and label its period. x" +36x=64 cos 2t; x(0) = x'(0) = 0 Express the solution of the given initial value problem as a sum of two oscillations. x(t) = (Simplify your answer. Type an exact answer, using radicals as needed.) Graph the solution function x(t). Choose the correct graph below. OA. AMAN Identify the period. B. P= (Type an exact answer in terms of x.) C. O D.
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