Program Description: Purpose ofproblem is to show that the differential equation d x d t = k x ( x − M ) − h can be rewritten as d x d t = k ( x − H ) ( x − K ) where H = 1 2 ( M + M 2 + 4 h / k ) > 0 and K = 1 2 ( M − M 2 + 4 h / k ) < 0 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 2.2, Problem 28P

Program Plan Intro

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B

If S = { x | 0 ≤ x ≤ 10}, A = { x | 1 ≤ x ≤ 5}, B = { x | 1 ≤ x ≤ 6}, and C = { x | 2 ≤ x ≤ 7}(a) S ⋃ C(b) A ⋃ B(d) A’ ⋂ C(c) A’⋃ (B ⋂ C)(e) (A ⋂ B) ⋃ (B ⋂ C) ⋃ (C ⋂ A)

More and more seafood is being farm-raised these days. A model (differentialequation) used for the rate of change for a fish population, P(t) in farmingponds is given by P'(t) = b(1-(P(t)/Pm)) - hP(t) where b is the birth rate, PM is the maximum number of fish the pond cansupport, and h is the rate the fish are harvested. Write a python code that implements the Forward Euler method to solve thedifferential equation Suppose that the carrying capacity PM = 20, 000 fish with a birth rateof 6% and a harvesting rate of h = 0%, use your Python code to findand plot the numerical solution for the first 400 days for different valuesof y0. Pick y0 < 20, 000, y0 > 20, 000. Don’t forget to label all your plotswith x and y axes label, titles and legends. Use a time step ∆t = 0.1

Answer 2

Question

Chapter 2.2, Problem 28P

Program Plan Intro

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2.2, Problem 28P

Program Plan Intro

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2.2, Problem 28P

Program Plan Intro

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 2.2, Problem 28P

Program Plan Intro

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Answer 6

Chapter 2.2, Problem 28P

Program Plan Intro

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Answer 7

Chapter 2.2, Problem 28P

Program Plan Intro

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 11

Ch. 2.1 - Prob. 1P Ch. 2.1 - Prob. 2P Ch. 2.1 - Prob. 3P Ch. 2.1 - Prob. 4P Ch. 2.1 - Prob. 5P Ch. 2.1 - Prob. 6P Ch. 2.1 - Prob. 7P Ch. 2.1 - Prob. 8P Ch. 2.1 - Prob. 9P Ch. 2.1 - Prob. 10P

Program Description: Purpose ofproblem is to show that the differential equation d x d t = k x ( x − M ) − h can be rewritten as d x d t = k ( x − H ) ( x − K ) where H = 1 2 ( M + M 2 + 4 h / k ) > 0 and K = 1 2 ( M − M 2 + 4 h / k ) < 0 .

Solution Summary: The author explains that the differential equation can be rewritten as dx. The critical points are those pints where the derivative of the function would be 0.

Concept explainers

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Want to see the full answer?

Chapter 2 Solutions

Program Description: Purpose ofproblem is to show that the differential equation d x d t = k x ( x − M ) − h can be rewritten as d x d t = k ( x − H ) ( x − K ) where H = 1 2 ( M + M 2 + 4 h / k ) &gt; 0 and K = 1 2 ( M − M 2 + 4 h / k ) &lt; 0 .

Solution Summary: The author explains that the differential equation can be rewritten as dx. The critical points are those pints where the derivative of the function would be 0.

Concept explainers

Program Description: Purpose ofproblem is to show that the differential equation dxdt=kx(x−M)−h can be rewritten as dxdt=k(x−H)(x−K) where H=12(M+M2+4h/k)>0 and K=12(M−M2+4h/k)<0 .

Want to see the full answer?

Chapter 2 Solutions

Program Description: Purpose ofproblem is to show that the differential equation d x d t = k x ( x − M ) − h can be rewritten as d x d t = k ( x − H ) ( x − K ) where H = 1 2 ( M + M 2 + 4 h / k ) > 0 and K = 1 2 ( M − M 2 + 4 h / k ) < 0 .