Attached is the given information and it's solution. However, how do I create the direction field in GEOGEBRA? I do not understand where they acquired the "new" system of equations from the given information either. Please explain how the solution is created using GEOGEBRA.

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

Attached is the given information and it's solution. However, how do I create the direction field in GEOGEBRA? I do not understand where they acquired the "new" system of equations from the given information either. Please explain how the solution is created using GEOGEBRA. Thanks

Given information:
Consider the system of equations
dR = 2 (1-) R - RF
dF
-16F + 4RF
dt
The Solution of the system is
Consider R is the rabbit population and F is the population of Fox.
By observing the given plot, we can say that
The fox population becomes zero, if the rabbit population is at 3 by the feeding of rabbit
to the fox by autonomous system.
Transcribed Image Text:Given information: Consider the system of equations dR = 2 (1-) R - RF dF -16F + 4RF dt The Solution of the system is Consider R is the rabbit population and F is the population of Fox. By observing the given plot, we can say that The fox population becomes zero, if the rabbit population is at 3 by the feeding of rabbit to the fox by autonomous system.
Explanation of Solution
Given information:
Consider the system of equations
= 2R (1-2) - 1.2RF
dt
dF = -F+0.9RF
dt
Calculation:
By using HPG System Solver, the solution is given by
F
******
*****
5
R
17(3,0).
By observing above graph, the fox population becomes zero, if the rabbit population is at
3, which is same as part a.
Transcribed Image Text:Explanation of Solution Given information: Consider the system of equations = 2R (1-2) - 1.2RF dt dF = -F+0.9RF dt Calculation: By using HPG System Solver, the solution is given by F ****** ***** 5 R 17(3,0). By observing above graph, the fox population becomes zero, if the rabbit population is at 3, which is same as part a.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 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,