Consider the following autonomous first-order differential equation. dy/dx = y2(36 − y2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 32E
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Consider the following autonomous first-order differential equation.

dy/dx = y2(36 − y2)
Sketch typical solution curves in the regions in the xy-plane determined by the graphs of the equilibrium solutions.
y
y
X
4
-6
-4
O
-4
-2
-2
12
-12-
2
2
4
-6
-4
-2
-2
12
-12
2
2
X
Transcribed Image Text:Sketch typical solution curves in the regions in the xy-plane determined by the graphs of the equilibrium solutions. y y X 4 -6 -4 O -4 -2 -2 12 -12- 2 2 4 -6 -4 -2 -2 12 -12 2 2 X
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