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?
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
Problem 18T
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critical points. If y(0) = 0, what will happen to the solution as t→ ∞o?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff97c0725-689e-40d7-87a0-46553d65cfc3%2F1d070c9c-b512-4da0-b7a9-64f17b04ed46%2Fmh6auop_processed.png&w=3840&q=75)
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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