Problem 10: A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b> 0 fish/year. The fish population is modeled by the initial value problem y' (t) = 0.01 y-b, y(0) = 500, where t is measured in years. a) Find the fish population, for t≥ 0, in terms of the harvesting rate b. (i.e. find the function y[t]). y(t) = = for t≥ 0. b) Graph the solution in the case that i = 40 fish/year. Describe the solution. c) Graph the solution in the case that b = 60 fish/year. Describe the solution.
Problem 10: A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b> 0 fish/year. The fish population is modeled by the initial value problem y' (t) = 0.01 y-b, y(0) = 500, where t is measured in years. a) Find the fish population, for t≥ 0, in terms of the harvesting rate b. (i.e. find the function y[t]). y(t) = = for t≥ 0. b) Graph the solution in the case that i = 40 fish/year. Describe the solution. c) Graph the solution in the case that b = 60 fish/year. Describe the solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Help please
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,