This problem deals with the differential equation dx=dt D

Chapter , Problem 28

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This problem deals with the differential equation dx=dt D kx.x M / h that models the harvesting of an unsophisticated population (such as alligators). Show that this equation can be rewritten in the form dx=dt D k.x H /.x K/, where H D 1 2 M C q M2 C 4h=k > 0; K D 1 2 M q M2 C 4h=k < 0: Show that typical solution curves look as illustrated in Fig

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