Given the differential equation a'(t) = x² + 3x³ - 15x² - 19x + 30. List the constant (or equilibrium) solutions to this differential equation in increasing order and indicate whether or not these equations are stable, semi-stable, or unstable. (It helps to sketch the graph. xFunctions will plot functions as well as phase planes.) stable unstable stable unstable Submit answer

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
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Given the differential equation x'(t) = x² + 3x³ — 15x² – 19x + 30.
List the constant (or equilibrium) solutions to this differential equation in increasing order and indicate whether or not these equations are stable, semi-stable, or unstable.
(It helps to sketch the graph. xFunctions will plot functions as well as phase planes.)
stable
unstable
Submit answer
FI
stable
unstable
Transcribed Image Text:Given the differential equation x'(t) = x² + 3x³ — 15x² – 19x + 30. List the constant (or equilibrium) solutions to this differential equation in increasing order and indicate whether or not these equations are stable, semi-stable, or unstable. (It helps to sketch the graph. xFunctions will plot functions as well as phase planes.) stable unstable Submit answer FI stable unstable
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