Suppose that the DEdy/dt = y(70 - y ) - 600models a logistic equation with harvesting, where y(t) represents a tilapia population in a lake at time t, measured in years. d) The stable critical point isy =while the unstable one isY = e) Using the fourth order Runge-Kutta Method, with a step-size of h =12to approximatey() if y(0) :40, yields:koiko2ko3ko4and thusy(1/12) = Þ(1/12) ~ y1 =||||

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Answered: Suppose that the DE dy/dt = y(70 - y )…

Suppose that the DE dy/dt = y(70 - y ) - 600 models a logistic equation with harvesting, where y(t) represents a tilapia population in a lake at time t, measured in years.

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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Question

Suppose that the DE

dy/dt = y(70 - y ) - 600

models a logistic equation with harvesting, where y(t) represents a tilapia population in a lake at time t, measured in years.

d) The stable critical point is
y =
while the unstable one is
Y =

e) Using the fourth order Runge-Kutta Method, with a step-size of h =
12
to approximate
y() if y(0) :
40, yields:
koi
ko2
ko3
ko4
and thus
y(1/12) = Þ(1/12) ~ y1 =
||
||

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