Question: In Problems 1 through 6, express the solution of the given initial value problem as a sum of two oscillations as in Eq. (8). Throughout,

In Problems 1 through 6, express the solution of the given initial value problem as a sum of two oscillations as in Eq. (8). Throughout, primes denote derivatives with respect to time t. In Problems 1–4, graph the solution function x(t) in such a way that you can identify and label (as in Fig. 5.6.2) its period.

x" + 100x = 225 cos 5t +300 sin 5t; x (0)

= 375, x' (0) = 0

x" + 100x = 225 cos 5t +300 sin 5t; x (0) = 375, x' (0) = 0

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