1. Equilibrium solutions (a) For each of the following differential equations, list the equilibrium solutions, if any. i. ii. iii. y' = ln (y) (y - 9)³ y' = x(x - 1)(y-2)(x − 3)(y-4) y = sin(y) cos(x) iv. V. y' = y² ln(y) y' = x²y² + 2x²y + x²

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
100%

Solve letter (a) for iii  or i.

MATH 12
1. Equilibrium solutions
(a) For each of the following differential equations, list the equilibrium solutions, if any.
i.
ii.
Worksheet 11: Differential equations and separation of variables
iii.
i.
y' = ln(y) (y - 9) 3³
y' = x(x - 1)(y-2)(x-3)(y-4)
y = sin(y) cos(x)
iv.
V.
y' = y² In (y)
iii.
y' = x²y² + 2x²y + x²
(b) For each differential equation, list all equilibrium solutions and classify each as stable,
unstable, or semistable.
A
Transcribed Image Text:MATH 12 1. Equilibrium solutions (a) For each of the following differential equations, list the equilibrium solutions, if any. i. ii. Worksheet 11: Differential equations and separation of variables iii. i. y' = ln(y) (y - 9) 3³ y' = x(x - 1)(y-2)(x-3)(y-4) y = sin(y) cos(x) iv. V. y' = y² In (y) iii. y' = x²y² + 2x²y + x² (b) For each differential equation, list all equilibrium solutions and classify each as stable, unstable, or semistable. A
Expert Solution
steps

Step by step

Solved in 2 steps

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