Suppose that y(x) is a solution of the autonomous equation dyldx = f(y) and is bounded
Chapter 2, Problem 34(choose chapter or problem)
Suppose that y(x) is a solution of the autonomous equation dyldx = f(y) and is bounded above and below by two consecutive critical points c1 < c 2 , as in subregion R 2 of Figure 2.1.S(b ). If f (y) > 0 in the region, then limxy(x) = c 2 Discuss why there cannot exist a number L < c 2 such that limxy(x) = L. As part of your discussion, consider what happens to y' (x) as x---+ oo.
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