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Differential EquationsEasySecond-Order Linear Equations

Second-Order Linear Equations · Easy problem

A spring's motion y=3cos⁡2t+sin⁡2ty = \sqrt3\cos 2t + \sin 2t is written in amplitude–phase form y=Rcos⁡(2t−ϕ)y = R\cos(2t - \phi) with R>0R > 0 and 0≤ϕ<2π0 \le \phi < 2\pi. Find the phase ϕ\phi.