show that the given system is almost linear near the origin and discuss the type and stability of the critical point at the origin. dx dx 1. = 3x + 2y- y. 2. = -2x + 2xy, dt dt dy dy -2x- 2y + xy dt = x- y+x? %3D dt

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Plz answer both subparts 1 and 2
show that the given system is almost linear
near the origin and discuss the type and stability of the
critical point at the origin.
dx
1.
dt
3x + 2y - y,
dx
2.
dt
–2x + 2xy,
dy
= -2x - 2y + xy
dt
dy
= x- y+x
dt
Transcribed Image Text:show that the given system is almost linear near the origin and discuss the type and stability of the critical point at the origin. dx 1. dt 3x + 2y - y, dx 2. dt –2x + 2xy, dy = -2x - 2y + xy dt dy = x- y+x dt
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