An observation indicates that the frog population Q(t) in a small pond is 25 initially and satisfies the logistic equation Q(t)' = 0.0225Q(t) – 0.0003Q(t)², (with t in months.) a. Apply Modified Euler's method together with any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)

An observation indicates that the frog population Q(t) in a small pond is 25 initially and satisfies the logistic equation Q(t)' = 0.0225Q(t) – 0.0003Q(t)², (with t in months.) a. Apply Modified Euler's method together with any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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