### Solution Found!

# (a) Find all equilibria of Nt+1 = 0.9Nt , t = 0, 1, 2, . . . (b) Use cobwebbing to

**Chapter 5, Problem 7**

(choose chapter or problem)

**QUESTION:**

(a) Find all equilibria of

\(N_{t+1}=0.9 N_{t}, \quad t=0,1,2, \ldots\)

(b) Use cobwebbing to determine the stability of the equilibria you found in (a).

### Questions & Answers

**QUESTION:**

(a) Find all equilibria of

\(N_{t+1}=0.9 N_{t}, \quad t=0,1,2, \ldots\)

(b) Use cobwebbing to determine the stability of the equilibria you found in (a).

**ANSWER:**

Step 1 of 2

(a)To find the equilibrium points for the difference equation \(N_{t+1}=0.9 N_{t}\), we will set the following:

\(N=0.9 N\)

This yields us a trivial solution N = 0.

Thus, equilibrium point is at N = 0.