Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Transcribed Image Text:1. Find all steady states of differential equationx5x24 and find stability.
2. Solve differential equation K(70-N) where ko o.
Expert Solution

Step 1
Problem 1:
To find all steady states of the given differential equation.
Find all the equilibrium points by setting X\'=0.

Step 2
Thus observe that the equilibrium points are X= -2, -1, 1, 2.
Find the derivative of X'.

Step 3
Find (dX'/dt) at the equilibrium points.

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