A conservation organization releases 35 Florida panthers into a game preserve. After 4 years, there are 178 panthers in the preserve. The Florida preserve has a carryingcapacity of 420 panthers.(a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.)P =(b) Find the population after 5 years. (Round your answer to the nearest whole number.)233panthers4201+11e-0.5227t(c) When will the population reach 210? (Round your answer to two decimal places.)4.59yr(d) Write a logistic differential equation that models the growth rate of the panther population. Then using Euler's Method, repeat part (b) with a step size of h = 1. Usethe initial release population of 35 panthers as your initial value to start Euler's Method. (Round your answer to the nearest whole number.)0.5227P 1dPdt=P(5) 195XP420(e) At what time is the panther population growing most rapidly? (Round your answer to two decimal places.)4.59yr

Answered: (d) Write a logistic differential…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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