Help Asap!!!! You realize these results are too good to be true as time goes on. You recall fromyour biology class that there are a variety of factors that tend to constrain populationgrowth, and that there is likely a carrying capacity for your lake. You look at othersimilar unattended lakes in the area that have had trout in them for years. The Fish andWildlife Department estimates the trout populations of these small lakes to be about200. You have decided to model the environmental constraints to the population growthrate with the linear expression 40- (1/5) y. You feel a better D.E. representing the troutpopulation growth rate in your lake is given by d = (1/20) y (40 – (1/5) y) .dydt4. State all equilibrium solutions for the D.E.,5.dydt=20y (40-y).dydraw the slope field for the D.E., d = 2y (40 – ½ y). Makedt20sure your screen view has -5 ≤ t ≤ 5, and is large enough to make the equilibriumsolutions obvious. Also, plot solutions to the D.E. on the ty-plane with initially 50trout introduced and initially 250 trout introduced.Now, you decide to look at the effect of an annual harvest of H. With H=75 trout/year you decide to do some more calculations.7.draw the slope field for the new D.E. Make sure your screen viewhas −5 ≤ t ≤ 10, and is large enough to make all the equilibrium solutions obvious.Also, plot the solutions with initially 40 trout introduced, initially 60, 140, 160 troutintroduced.8. State the equilibrium solutions of this D.E.

As per the policy only the first question is to be answered, plz repost other questions. The…

You realize these results are too good to be true as time goes on. You recall from your biology class that there are a variety of factors that tend to constrain population growth, and that there is likely a carrying capacity for your lake. You look at other similar unattended lakes in the area that have had trout in them for years. The Fish and Wildlife Department estimates the trout populations of these small lakes to be about 200. You have decided to model the environmental constraints to the population growth rate with the linear expression 40-(1/5) y. You feel a better D.E. representing the trout population growth rate in your lake is given by d = (1/20) y (40 - (1/5) y). dy dt 4. State all equilibrium solutions for the D.E., d = 2y (40- y). dt dy 5. draw the slope field for the D.E., du = y (40-y). Make sure your screen view has -5 ≤ t ≤ 5, and is large enough to make the equilibrium solutions obvious. Also, plot solutions to the D.E. on the ty-plane with initially 50 trout introduced and initially 250 trout introduced.

You realize these results are too good to be true as time goes on. You recall from your biology class that there are a variety of factors that tend to constrain population growth, and that there is likely a carrying capacity for your lake. You look at other similar unattended lakes in the area that have had trout in them for years. The Fish and Wildlife Department estimates the trout populations of these small lakes to be about 200. You have decided to model the environmental constraints to the population growth rate with the linear expression 40-(1/5) y. You feel a better D.E. representing the trout population growth rate in your lake is given by d = (1/20) y (40 - (1/5) y). dy dt 4. State all equilibrium solutions for the D.E., d = 2y (40- y). dt dy 5. draw the slope field for the D.E., du = y (40-y). Make sure your screen view has -5 ≤ t ≤ 5, and is large enough to make the equilibrium solutions obvious. Also, plot solutions to the D.E. on the ty-plane with initially 50 trout introduced and initially 250 trout introduced.

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

Help Asap!!!!

You realize these results are too good to be true as time goes on. You recall from
your biology class that there are a variety of factors that tend to constrain population
growth, and that there is likely a carrying capacity for your lake. You look at other
similar unattended lakes in the area that have had trout in them for years. The Fish and
Wildlife Department estimates the trout populations of these small lakes to be about
200. You have decided to model the environmental constraints to the population growth
rate with the linear expression 40- (1/5) y. You feel a better D.E. representing the trout
population growth rate in your lake is given by d = (1/20) y (40 – (1/5) y) .
dy
dt
4. State all equilibrium solutions for the D.E.,
5.
dy
dt
=
20
y (40-y).
dy
draw the slope field for the D.E., d = 2y (40 – ½ y). Make
dt
20
sure your screen view has -5 ≤ t ≤ 5, and is large enough to make the equilibrium
solutions obvious. Also, plot solutions to the D.E. on the ty-plane with initially 50
trout introduced and initially 250 trout introduced.
Now, you decide to look at the effect of an annual harvest of H.

With H
=
75 trout/year you decide to do some more calculations.
7.
draw the slope field for the new D.E. Make sure your screen view
has −5 ≤ t ≤ 10, and is large enough to make all the equilibrium solutions obvious.
Also, plot the solutions with initially 40 trout introduced, initially 60, 140, 160 trout
introduced.
8. State the equilibrium solutions of this D.E.

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