2. DS: phase-plane, equilibria a. Identify each phase portrait below with a vector field from the following list: F=(y,-sinx); G ={(1-x-y/2)x,(1– y-2x/3) y}; H =(y,x-x'). Assign fields (F,G,H) to appropriate models: VL-competition, Duffing oscillator, pendulum. In each case explain the meaning of variables (x,y) and coefficients b. Sketch null-clines, and find all equilibria on each plot, describe equilibria types. 2.0 1.0 0.6 -2

2. DS: phase-plane, equilibria a. Identify each phase portrait below with a vector field from the following list: F=(y,-sinx); G ={(1-x-y/2)x,(1– y-2x/3) y}; H =(y,x-x'). Assign fields (F,G,H) to appropriate models: VL-competition, Duffing oscillator, pendulum. In each case explain the meaning of variables (x,y) and coefficients b. Sketch null-clines, and find all equilibria on each plot, describe equilibria types. 2.0 1.0 0.6 -2

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

2. DS: phase-plane, equilibria
a. Identify each phase portrait below with a vector field from the following list:
F=(y,-sinx); G ={(1-x-y/2)x,(1– y-2x/3) y}; H =(y,x-x'). Assign fields
(F,G,H) to appropriate models: VL-competition, Duffing oscillator, pendulum. In each case
explain the meaning of variables (x,y) and coefficients
b. Sketch null-clines, and find all equilibria on each plot, describe equilibria types.
2.0
1.0
0.6
-2

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