A population growing with harvesting will behave according to the differential equation dy 0.1y(1 dt 1300 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.

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

A population growing with harvesting will behave according to the differential equation

dydt=0.1y(1−y1300)−cdydt=0.1y(1-y1300)-c
y(0)=y0y(0)=y0

Find the value for c for which there will be only one equilibrium solution to the differential equation

c =   

If c is less than the value found above, there will be  equilibria. If c is greater than the value found above, there will be  equilibria.

 

A population growing with harvesting will behave according to the differential equation
dy
0.1y(1 –
- c
dt
1300
y(0) = yo
Find the value for c for which there will be only one equilibrium solution to the differential equation
C =
If c is less than the value found above, there will be
equilibria. If c is greater
than the value found above, there will be
equilibria.
Transcribed Image Text:A population growing with harvesting will behave according to the differential equation dy 0.1y(1 – - c dt 1300 y(0) = yo Find the value for c for which there will be only one equilibrium solution to the differential equation C = If c is less than the value found above, there will be equilibria. If c is greater than the value found above, there will be equilibria.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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,