For the each of the following autonomous equations, find all the equilibrium solutions. For each equilibrium classify whether it is stable, unstable, or semistable. (a) y' = y² — 3y+2 - (b) y' = −y³ +5y² - 6y (c) y' = y(y + 1)² (2 - y) ³ (y² - 4) (d) y'e sin y + 1 - (e) y' = 24 - 2
For the each of the following autonomous equations, find all the equilibrium solutions. For each equilibrium classify whether it is stable, unstable, or semistable. (a) y' = y² — 3y+2 - (b) y' = −y³ +5y² - 6y (c) y' = y(y + 1)² (2 - y) ³ (y² - 4) (d) y'e sin y + 1 - (e) y' = 24 - 2
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 35E
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