Suppose that y(x) is a solution of the autonomous equation dydx f(y) and is bounded
Chapter 2, Problem 34(choose chapter or problem)
Suppose that y(x) is a solution of the autonomous equation dydx f(y) and is bounded above and below by two consecutive critical points c1 c2, as in subregion R2 of Figure 2.1.6(b). If f(y) 0 in the region, then limx: y(x) c2. Discuss why there cannot exist a number L c2 such that limx: y(x) L. As part of your discussion, consider what happens to y (x) as x : . 2.1
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