8.11. Let y' = (y — 3) (y + 2)² e³. Sketch a phase diagram for this differential equation. Find and classify all critical points. If y(0) = 0, what will happen to the solution as t→ ∞o?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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8.11. Let y' = (y — 3) (y + 2)² e³. Sketch a phase diagram for this differential equation. Find and classify all
critical points. If y(0) = 0, what will happen to the solution as t→ ∞o?
Transcribed Image Text:8.11. Let y' = (y — 3) (y + 2)² e³. Sketch a phase diagram for this differential equation. Find and classify all critical points. If y(0) = 0, what will happen to the solution as t→ ∞o?
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