4. A model for the population of pigeons in the United States is given by the autonomous DE: Р3 (1— Р)(1 - 2Р)P. To answer the following questions you do not need to solve the DE. points] (a) Find the critical points and phase portrait of the DE. (Portraits without a proper justification for the arrows will get zero credit.) (b) Classify each critical point as asymptotically stable, unstable or semi-stable. (c) Sketch typical solution curves in the regions (in the xy- plane) determined by the graphs of equilibrium solutions.

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Q: 4. A model for the population of pigeons in the United States is given by the autonomous DE: Р' %3…

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Q: Solution: y1 = 2.513274123; y2 = 1.814517822; y3 = 1.216364496

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Q: Solution: y1 = 1.200000000; y2 =2.085625000; y3 = 3.079099746

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Q: Solution: y1 = 1.450000000; y2= 2:085625000; y3 = 3:079099746

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