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
icon
Related questions
Question

solve q12

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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 9 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,