In Section 10.1 we studied three models for growth: exponential growth (Example 5), limited growth (Example 6), and logistic growth. Assume k > 0 in all three models, and N > y₀ in the limited growth and logistic models.
(a) For what values of t is each model increasing? Decreasing?
(b) For what values of t is each model concave upward? Concave downward?

Example 5 In Section 10.1

Find the general solution of the differential equation for interest compounded continuously,

dA dt KA.