Suppose we alter the differential equation in Exercise 15 as follows: (a) Solve this differential equation with

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Suppose we alter the differential equation in Exercise 15 as follows:


kP cos (rt - 4) dP P(0) - Po %3D dt

(a) Solve this differential equation with the help of a table of integrals or a CAS.
(b) Graph the solution for several values of k, r, and Φ. How do the values of k, r, and Φ affect the solution? What can you say about lim t→∞ P (t) in this case?
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