Chapter 9.2, Problem 2ED

(a)

To determine

To explain: The rate of change of y satisfying the differential equation $\frac{dy}{dt}=k$ along with the increasing or decreasing properties.

(b)

To determine

To explain: The rate of change of y satisfying the differential equation $\frac{dy}{dt}=k\left(100-y\right)$ along with the increasing or decreasing properties.

(c)

To determine

Explain the rate of change of y satisfying the differential equation $\frac{dy}{dt}=ky\left(100-y\right)$ along with the increasing or decreasing properties.