How do I do question e? e) Taking y(0) =55 and astep size of h=1/48,applying four iterationsof the Forward EulerFormula to approximatethe solution of Eq. (1)yields:Þ(1/48) ~ y1 =$(2/48) ~ y2 =$(3/48) = Y3 =$(4/48) ~ Y4 = Suppose that the DEdyy(60- y) – 800dt(1)models a logisticequation with harvesting,where y (t) represents anabalone population(Figure 1) at time t,measured in years.a) The per capita growthrate of the abalonepopulation isb) The inhibiting factoris

e) Taking y ( 0) = 55 and a step size of h=1/48, applying four iterations of the Forward Euler Formula to approximate the solution of Eq.(1) yields: $(1/48) ~ Y1 = Þ(2/48) ~ y2 = $(3/48) = y3 = $(4/48) – Y4 =

e) Taking y ( 0) = 55 and a step size of h=1/48, applying four iterations of the Forward Euler Formula to approximate the solution of Eq.(1) yields: $(1/48) ~ Y1 = Þ(2/48) ~ y2 = $(3/48) = y3 = $(4/48) – Y4 =

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

How do I do question e?

e) Taking y(0) =55 and a
step size of h=1/48,
applying four iterations
of the Forward Euler
Formula to approximate
the solution of Eq. (1)
yields:
Þ(1/48) ~ y1 =
$(2/48) ~ y2 =
$(3/48) = Y3 =
$(4/48) ~ Y4 =

Suppose that the DE
dy
y(60- y) – 800
dt
(1)
models a logistic
equation with harvesting,
where y (t) represents an
abalone population
(Figure 1) at time t,
measured in years.
a) The per capita growth
rate of the abalone
population is
b) The inhibiting factor
is

Expert Solution

Step 1

Given that,

Differential equation modeling a logistic equation with harvesting, where y(t) represents an abalone population at time t, measured in years is given by

$\frac{d y}{d t} = y (60 - y) - 800$

Also,

$y (0) = 55 t_{0} = 0 a n d y_{0} = 55 h = \frac{1}{48}$

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