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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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?
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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