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The position of a certain spring-mass system satisfies t

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The position of a certain spring-mass system satisfies the initial value problem 3 2 y?? + ky = 0, y(0) = 2, y? (0) = ?.

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The position of a certain spring-mass system satisfies the initial value problem 3 2 y?? + ky = 0, y(0) = 2, y? (0) = ?. If the period and amplitude of the resulting motion are observed to be ? and 3, respectively, determine the values of k and ?.

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