y(t) =d) The stable critical point isy =while the unstable one ise) Using the fourth order Runge-Kutta Method, with a step-size of h =1to approximate12'y() if y(0) = 55, yields:ko1 Suppose that the DEdyy(90 – y) – 2000dt-models a logistic equation with harvesting, where y (t) represents a tilapia population in alake at time t, measured in years.a) The per capita growth rate of the tilapia population isb) The rate at which the tilapia is harvested isc) The limiting and threshold solutions are, respectively,y(t) =and

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Answered: Suppose that the DE dy = y(90 – y) –…

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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Suppose that the DE dy = y(90 – y) – 2000 dt models a logistic equation with harvesting, where y(t) represents a tilapia popu lake at time t, measured in years.