Take the system z' = 6+6x+xy, y = -8y + 1. How many critical points are there? Take the critical point with the largest x-coordinate: ( The linearization at this point is = A 4[U] A = V where A is ). The behavior is For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".
Take the system z' = 6+6x+xy, y = -8y + 1. How many critical points are there? Take the critical point with the largest x-coordinate: ( The linearization at this point is = A 4[U] A = V where A is ). The behavior is For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Take the system z' = 6+6x+xy, y = -8y + 1.
How many critical points are there?
Take the critical point with the largest x-coordinate: (
The linearization at this point is = A
4[U]
A =
V
where A is
).
The behavior is
For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07ace47c-fb89-430d-b02a-2c1adf6b095f%2F04baee4c-ad85-4724-85e2-70d0cea5acd3%2Fyr2tf0g_processed.png&w=3840&q=75)
Transcribed Image Text:Take the system z' = 6+6x+xy, y = -8y + 1.
How many critical points are there?
Take the critical point with the largest x-coordinate: (
The linearization at this point is = A
4[U]
A =
V
where A is
).
The behavior is
For behavior write one of "saddle", "source", "sink", "spiral sink", "spiral source", "center".
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