3. Find all equilibrium values of the system of differential equations: dx (a) (b) { (c) dt = 14x2x² - xy = 16y - 2y² - xy dt x' = x(x -y + 1) y' = y(y + 2x) dx dt dy dt = x - x² - 2xy = 2y - 2y² - 3xy
3. Find all equilibrium values of the system of differential equations: dx (a) (b) { (c) dt = 14x2x² - xy = 16y - 2y² - xy dt x' = x(x -y + 1) y' = y(y + 2x) dx dt dy dt = x - x² - 2xy = 2y - 2y² - 3xy
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![3. Find all equilibrium values of the system of differential equations:
dx
dt
(a)
(b) {
(c)
14x2x² - xy
=
= 16y - 2y² - xy
=
dt
x' = x(x − y + 1)
y' = y(y + 2x)
dx
dt
dy
dt
=
=
x - x² - 2xy
2y - 2y² - 3xy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febb913e1-4986-4d74-b6ce-ad576ddf43d3%2Fe9b47645-1056-48e5-866f-eb639b5615e1%2Fs6dbic_processed.png&w=3840&q=75)
Transcribed Image Text:3. Find all equilibrium values of the system of differential equations:
dx
dt
(a)
(b) {
(c)
14x2x² - xy
=
= 16y - 2y² - xy
=
dt
x' = x(x − y + 1)
y' = y(y + 2x)
dx
dt
dy
dt
=
=
x - x² - 2xy
2y - 2y² - 3xy
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