16. The graph of f(y) is given below, use it to answer the following. f 2 a b y (a) Sketch the phase line for y' = f(y). Identify each equilibrium as stable, unstable, or semi- stable. (b) For what values of k does the equation y' = f(y) - k have two stable equilibria?
16. The graph of f(y) is given below, use it to answer the following. f 2 a b y (a) Sketch the phase line for y' = f(y). Identify each equilibrium as stable, unstable, or semi- stable. (b) For what values of k does the equation y' = f(y) - k have two stable equilibria?
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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Transcribed Image Text:16. The graph of f(y) is given below, use it to answer the following.
f
2
a
b
y
(a) Sketch the phase line for y' = f(y). Identify each equilibrium as stable, unstable, or semi-
stable.
(b) For what values of k does the equation y' = f(y) - k have two stable equilibria?
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