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2. Consider the differential equation dy = y(y-2)' (v-3). (a) What are the critical points of this differential equation? dx (b) Draw a phase portrait for this differential equation. (c) Classify each critical point(s) as stable or unstable.

2. Consider the differential equation dy = y(y-2)' (v-3). (a) What are the critical points of this differential equation? dx (b) Draw a phase portrait for this differential equation. (c) Classify each critical point(s) as stable or unstable.

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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2. Consider the differential equation dy -= y(y-2)²(x-3). (a) What are the critical points of this differential equation? dx (b) Draw a phase portrait for this differential equation. (c) Classify each critical point(s) as stable or unstable.
Transcribed Image Text:2. Consider the differential equation dy -= y(y-2)²(x-3). (a) What are the critical points of this differential equation? dx (b) Draw a phase portrait for this differential equation. (c) Classify each critical point(s) as stable or unstable.
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