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Math 148 Quiz 4: §8.2
Directions: Answer each question completely.
credit, and circle your final answer.
Show all work to receive full
1. Let N (t) denote the size of a population at time t ≥ 0 and suppose that
dN
N
= 2N (N − 10) 1 −
.
dt
100
(a) Find all equilibria of this differential equation and determine their stability.
(b) Suppose that the initial population size is N (0) = 40. Determine the limiting
population size, lim N (t).
t→∞
1