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dz 500 = f(2) = 3(1– 2) In(), %3D dt where t is time and z is the number of punishers. Justify your answers! SHOW ALL WORK. a) Determine all biologically meaningful steady states (equilibrium points). b) Determine the stability of each steady state in (a), using the derivative test. c) Draw the phase-line diagram.

dz 500 = f(2) = 3(1– 2) In(), %3D dt where t is time and z is the number of punishers. Justify your answers! SHOW ALL WORK. a) Determine all biologically meaningful steady states (equilibrium points). b) Determine the stability of each steady state in (a), using the derivative test. c) Draw the phase-line diagram.

Advanced Engineering Mathematics
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 6. team at the rate: The Punishers have invaded campus! They recruit more for their dz 500 3f(2) = 3(1 – 2²) In(), %3D dt where t is time and z is the number of punishers. Justify your answers! SHOW ALL WORK. a) Determine all biologically meaningful steady states (equilibrium points). b) Determine the stability of each steady state in (a), using the derivative test. c) Draw the phase-line diagram. d) If 491 punishers are on campus initially, how many will there be eventually? Solution:
Transcribed Image Text:Question 6. team at the rate: The Punishers have invaded campus! They recruit more for their dz 500 3f(2) = 3(1 – 2²) In(), %3D dt where t is time and z is the number of punishers. Justify your answers! SHOW ALL WORK. a) Determine all biologically meaningful steady states (equilibrium points). b) Determine the stability of each steady state in (a), using the derivative test. c) Draw the phase-line diagram. d) If 491 punishers are on campus initially, how many will there be eventually? Solution:
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