Question #s 1,3,9 (with explaination would be helpful)
EXERCISES In Exercises I to 7 determine whether the equilibrium x-0 of the linear Dx Ax is stable or unstable. 2. A- 0 2 0 1, A=13 2-2 10 -1 ã-1 0 1 -2 0 3. A 23 0 5 2-3 2 1 -1 I 00 1 0 5, A=13; 2 0 -1 1 2 3 7" A=10-1-1 0-1 In Exercises 8 through 23, find the equilibria and determine their stability. Decide whether each equilibrium is an attractor, a repeller, or neither. Note that the systems in Exercises 8 through 17 are the same as those in Exercises 1 through 10 of Section 4.1. but here we do not restrict attention to solutions for which x and y are nonnegative dx dt dt - 3y xy -y2 dt 10, dx = 2x-2x2-xy dx dt dy dt = 2y-2xy-y? dt dt
