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Recall the harmonic oscillator equation m% = ky. (a) Write it in the form of a first-order system. (b) Find the general solution y. Classify

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Recall the harmonic oscillator equation m% = ky. (a) Write it in the form of a first-order system. (b) Find the general solution y. Classify the equilibrium. Calculate the period of solutions (in terms of m, k). (c) Find the solution of the initial value problem with y(0) = 1, %(0) = 0

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