a. Use the 2nd-order Runge-Kutta Method to approximate y(t) with h= 0.25 b. Use the 4th-order Runge-Kutta Method to approximate y(t) with h=0.25 c. Plot both sets {yi} obtained in (1) and (2) d. Determine the eventual population level (as t→∞) reached from initial population

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
Question

a. Use the 2nd-order Runge-Kutta Method to approximate y(t) with h= 0.25

b. Use the 4th-order Runge-Kutta Method to approximate y(t) with h=0.25

c. Plot both sets {yi} obtained in (1) and (2)

d. Determine the eventual population level (as t→∞) reached from initial population.

Consider the population model
y = ry(1 -
1+ y?
Let r = 0.4 and k = 20 and the initial population be yo = 2.44.
%3D
Transcribed Image Text:Consider the population model y = ry(1 - 1+ y? Let r = 0.4 and k = 20 and the initial population be yo = 2.44. %3D
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