Find all critical points of the given plane autonomous system. (Enter your answers as a comma-separated lis x - -/-/v) x' = x 14 x- = x( 14 - y' = y(20- y - x) (x, y) = (0,0), (0,20),(20,0),(8,12)
Find all critical points of the given plane autonomous system. (Enter your answers as a comma-separated lis x - -/-/v) x' = x 14 x- = x( 14 - y' = y(20- y - x) (x, y) = (0,0), (0,20),(20,0),(8,12)
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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I don't understand what I am missing with the critical points.
![**Problem Statement:**
Find all critical points of the given plane autonomous system. (Enter your answers as a comma-separated list.)
**System of Equations:**
\[
x' = x \left(14 - x - \frac{1}{2}y\right)
\]
\[
y' = y(20 - y - x)
\]
**Coordinates of Potential Critical Points:**
\[
(x, y) = (0,0), (0,20), (20,0), (8,12)
\]
*A red cross is marked next to the list of coordinates, indicating that the provided solution may be incorrect.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9608708b-9165-4676-9e5a-cde24f79f867%2Fdfc240c6-7bec-4601-8010-7e96fc70f196%2F3jq6yh9_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find all critical points of the given plane autonomous system. (Enter your answers as a comma-separated list.)
**System of Equations:**
\[
x' = x \left(14 - x - \frac{1}{2}y\right)
\]
\[
y' = y(20 - y - x)
\]
**Coordinates of Potential Critical Points:**
\[
(x, y) = (0,0), (0,20), (20,0), (8,12)
\]
*A red cross is marked next to the list of coordinates, indicating that the provided solution may be incorrect.*
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