1. Consider the differential equation d = y(y + 1)?(2 – y) a. Sketch the vs. y graph. b. Draw a sketch indicating the long-term behaviors of all the qualitatively different solutions, including (in a different color, or bold) the solution with the initial condition y(0) = 1.

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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1. Consider the differential equation
dy
= y(y+ 1)2(2-y)
dt
a. Sketch the
vs. y graph.
b. Draw a sketch indicating the long-term behaviors of all the qualitatively different solutions,
including (in a different color, or bold) the solution with the initial condition y(0) = 1.
Transcribed Image Text:1. Consider the differential equation dy = y(y+ 1)2(2-y) dt a. Sketch the vs. y graph. b. Draw a sketch indicating the long-term behaviors of all the qualitatively different solutions, including (in a different color, or bold) the solution with the initial condition y(0) = 1.
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