Consider the differential equation dy da The differential equation has an equilibrium solution at y = 0, at y = 1, and at y = Click for List If y(x) is the solution to the initial-value problem dy da then lim y(x) = Number 48 If we now think of y(x) as the solution to the initial-problem then lim y(x) = Number x48 = y(y-1)(y+5) dy da Number = y(y-1)(y+5) y(-5) = 2 =-y(y-1)(y+5) y(0) = 0 . The third equilibrium in that list can be classified as

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 6E
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Consider the differential equation
dy
da
=-y(y - 1)(y + 5)
The differential equation has an equilibrium solution at y = 0, at y = 1, and at y = Number
Click for List
If y(x) is the solution to the initial-value problem
dy
da
then _lim y(x) = Number
X18
If we now think of y(x) as the solution to the initial-problem
then lim y(x) = Number
x-x
=
=-y(y-1)(y+5) y(-5) = 2
dy
da
-y(y-1)(y+5) y(0) = 0
. The third equilibrium in that list can be classified as
Transcribed Image Text:Consider the differential equation dy da =-y(y - 1)(y + 5) The differential equation has an equilibrium solution at y = 0, at y = 1, and at y = Number Click for List If y(x) is the solution to the initial-value problem dy da then _lim y(x) = Number X18 If we now think of y(x) as the solution to the initial-problem then lim y(x) = Number x-x = =-y(y-1)(y+5) y(-5) = 2 dy da -y(y-1)(y+5) y(0) = 0 . The third equilibrium in that list can be classified as
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,