(a) Find and classify all critical points of the plane autonomous system x' =x(-1) y+2
Chapter 11, Problem 22(choose chapter or problem)
(a) Find and classify all critical points of the plane autonomous system x' =x(-1) y+2 , ( 2x y y =y 1- ) y+2 -s (b) FIGURE 11.5.7 shows the vector field V!llVll and offers empirical evidence that there is an invariant region R in the first quadrant with a critical point in its interior. Assuming that such a region exists, prove that there is at least one periodic solution.
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