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# Solution: For each of the systems in 4 through 13: a. Find all the critical points

ISBN: 9781119256007 392

## Solution for problem 6 Chapter 9.2

Elementary Differential Equations and Boundary Value Problems | 11th Edition

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Problem 6

For each of the systems in 4 through 13: a. Find all the critical points (equilibrium solutions). G b. Use an appropriate graphing device to draw a direction field and phase portrait for the system. c. From the plot(s) in part b, determine whether each critical point is asymptotically stable, stable, or unstable, and classify it as to type. d. Describe the basin of attraction for each asymptotically stable critical point.dx/dt = 2x x2 xy, dy/dt = 3y 2y2 3xy

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