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

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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1. Find all steady states of differential equationx5x24 and find stability.
2. Solve differential equation K(70-N) where ko o.
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.

 

Calculus homework question answer, Step 1, Image 1
Step 2

Thus observe that the equilibrium points are X= -2, -1, 1, 2.

Find the derivative of X'.

Calculus homework question answer, Step 2, Image 1
Step 3

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

Calculus homework question answer, Step 3, Image 1
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