Question

3. Consider the system of differential equations = z+9-1 (a) Sketch the r-nullcline, where solutions must travel vertically. Identify the regions (b) On a separate set of axes, sketch the y-nullcline, where solutions must travel horizon in the plane where solutions will move toward the right, and where solutions move toward the right tally. Identify the regions in the plane where solutions will move upward, and where solutions move downward. (c) On a third set of axes, sketch both the z- and y-nullclines. Indicate the regions in the plane where solutions travel up-right, up-left, down-left, and down-right. (d) On a fourth set of axes, sketch both the - and y-nullclines. Sketch trajectories (solution curves) passing through the following points: 11 1 1(1 1 3 1 (e) Suppose that (z(t), y(t) is a solution satisfying the initial condition x(0) = zo, y(0) = , where the point (zo, yo) lies above the line y 1-r and inside the circle z2+92-1 What are lim,(t) and lim, y(t)?

just (A) (B) (C)

Answer 1

ANSWER:

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