Question

Let P(t) be the population (in hundreds) of a group of wolverines occupying a northwest forest t years after 2000.

Suppose that P(t) satisfies the differential equation P'(t) = 0.2 P(t), P(0) = 4


What was the initial population?

Answer 1

P(t) is the population in hundreds at time t


If t = 0, then P(0) is the population of time zero (basically the initial population)


So if P(0) = 4, then the initial population is 400 wolverines.