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

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...
icon
Related questions
Question
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
steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning