Homework Help is Here – Start Your Trial Now!
Math
Calculus
The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy E ry (1—у) — h dt where r,h > 0 are constants. 1 and h = 2 3 Solve the DE when r = 32 (The equation is separable and you should be able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).

The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy E ry (1—у) — h dt where r,h > 0 are constants. 1 and h = 2 3 Solve the DE when r = 32 (The equation is separable and you should be able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
See similar textbooks
icon
Related questions
Question
The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy — ry (1 — у) — h dt where r,h > 0 are constants. 1 Solve the DE when r = 3 and h 2. (The equation is separable and you should be 32 able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).
Transcribed Image Text:The Verhulst (or logistic) DE can be adapted to include "harvesting" to model a fishery population, as follows: dy — ry (1 — у) — h dt where r,h > 0 are constants. 1 Solve the DE when r = 3 and h 2. (The equation is separable and you should be 32 able to factorise the quadratic and use partial fractions.) Write your answer explic- itly in the form y = y(t).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS