Find and classify the equilibrium solutions for the each of of the following differentia equations. (a) y = 3-y (b) y = 5+y (c) y'= y²(3-y) (d) y'= y² - 5y + 6 (e) y' = (1 − y)(y — 2) (y − 3) (f) y = y - y³

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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Find and classify the equilibrium solutions for the each of of the following differentia
equations.
(a) y'=3-y
(b) y' = 5+ y
(c) y = y²(3-y)
(d) y' = y² − 5y + 6
(e) y' = (1 − y) (y — 2) (y − 3)
(f) y' = y — y³
Transcribed Image Text:Find and classify the equilibrium solutions for the each of of the following differentia equations. (a) y'=3-y (b) y' = 5+ y (c) y = y²(3-y) (d) y' = y² − 5y + 6 (e) y' = (1 − y) (y — 2) (y − 3) (f) y' = y — y³
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