The dy initial value problem modeling the number of fish in a stocked pond after t years is -= .08y — b, y(0) = 400. b is greater than zero and represents the harvesting rate. dt a) Find the value of b which causes a non-zero steady state solution. b) Solve the initial value problem. c) What is the steady state solution if b is smaller than the value found in part a of this problem? d) What is the steady state solution if b is larger than the value found in part a of this problem?
The dy initial value problem modeling the number of fish in a stocked pond after t years is -= .08y — b, y(0) = 400. b is greater than zero and represents the harvesting rate. dt a) Find the value of b which causes a non-zero steady state solution. b) Solve the initial value problem. c) What is the steady state solution if b is smaller than the value found in part a of this problem? d) What is the steady state solution if b is larger than the value found in part a of this problem?
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:The initial value problem modeling the number of fish in a stocked pond after t years is
dy = = .08y — b, y(0) = 400. b is greater than zero and represents the harvesting rate.
dt
a) Find the value of b which causes a non-zero steady state solution.
b) Solve the initial value problem.
c) What is the steady state solution if b is smaller than the value found in part a of this
problem?
d) What is the steady state solution if b is larger than the value found in part a of this problem?
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