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Consider the autonomous first-order differential equation y = y(y +4)(y – 5) (a) Find the critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable.

Consider the autonomous first-order differential equation y = y(y +4)(y – 5) (a) Find the critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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Consider the autonomous first-order differential equation y = y(y + 4)(y – 5) (a) Find the critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable. (b) With initial value y(0) = -3, limy→o y(x) =? (c) With initial value y(0) = 4, limx→∞ y(x) =?
Transcribed Image Text:Consider the autonomous first-order differential equation y = y(y + 4)(y – 5) (a) Find the critical points and classify each as (1) AS for Asymptotically Stable, (2) US for Unstable or (3) SS for Semi-Stable. (b) With initial value y(0) = -3, limy→o y(x) =? (c) With initial value y(0) = 4, limx→∞ y(x) =?
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