You decide to look at the effect of an annual harvest of H. Write down the new (

Question

You decide to look at the effect of an annual harvest of H. Write down the new (symbolic) D.E. that represents the trout population growth rate for your lake. Next, with H = 75 trout/year you decide to do some more calculations. Use Maple to draw the slope field for the new D.E. Sketch the phase line for the D.E. State the equilibrium solutions of the D.E. Sketch solutions with initially 40 trout introduced, initially 60 trout introduced, initially 160 trout introduced, and initially 140 trout introduced. Use Maple to find the general solution to the D.E. found in # 15 above, with H = 75. Write it down.

Explanation / Answer

population growth, dP/dt= kP(M-P)-H

now eveerything is to be done in maple.

from previous question, i assume you know the value of k,M and H is given.

for equilibrium put RHS0, only P is variable. you will get 2 solutuon.

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