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dy For the autonomous differential equation = (y − 3) y(y + 2)² what dx can be said about the equilibrium solutions?

dy For the autonomous differential equation = (y − 3) y(y + 2)² what dx can be said about the equilibrium solutions?

Advanced Engineering Mathematics
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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Question
dy For the autonomous differential equation d = (y - 3) y(y + 2)² what dx can be said about the equilibrium solutions? O y = 3 is unstable, y =0 is stable, y = -2 is semi-stable O y=3 is stable, y =0 is unstable, y = -2 is semi-stable O y=3 is unstable, y =0 is semi-stable, y = -2 is stable O None of these
Transcribed Image Text:dy For the autonomous differential equation d = (y - 3) y(y + 2)² what dx can be said about the equilibrium solutions? O y = 3 is unstable, y =0 is stable, y = -2 is semi-stable O y=3 is stable, y =0 is unstable, y = -2 is semi-stable O y=3 is unstable, y =0 is semi-stable, y = -2 is stable O None of these
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