In a seasonal-growth model, a periodic function of time is introduced to account for seasonal variations in the rate of growth. Such variations could, for example, be caused by seasonal changes in the availability of food. (a) Find the solution of the seasonal-growth model dP dt kP cossrt 2 d Ps0d P0 where k, r, and are positive constants. (b) By graphing the solution for several values of k, r, and , explain how the values of k, r, and affect the solution. What can you say about limtl` Pstd?

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