Change the experiment of Problem 8 so that the constant harvesting doesn't start until time t = 5. Find the general solution, with y(0) as a free parameter. Does this equation have any steady-states?

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
Problem 12CR
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8. Consider a population of bacteria with a growth rate of a = 2. Assume that bacteria are
harvested at a constant rate of 3 individuals per unit time. Find the general solution y(t)
(leaving the initial population y(0) as a free parameter). Sketch a graph of the solution
for a few different choices of y(0). Does this equation have any steady states?
Transcribed Image Text:8. Consider a population of bacteria with a growth rate of a = 2. Assume that bacteria are harvested at a constant rate of 3 individuals per unit time. Find the general solution y(t) (leaving the initial population y(0) as a free parameter). Sketch a graph of the solution for a few different choices of y(0). Does this equation have any steady states?
12. Change the experiment of Problem 8 so that the constant harvesting doesn't start until
time t = 5. Find the general solution, with y(0) as a free parameter. Does this equation
have any steady-states?
Transcribed Image Text:12. Change the experiment of Problem 8 so that the constant harvesting doesn't start until time t = 5. Find the general solution, with y(0) as a free parameter. Does this equation have any steady-states?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,