Example 4 dealt with the case Ah > kM2 in the equation dx/dt = kx(M − x) = h that descr...

Example 4 dealt with the case Ah > kM2 in the equation dx/dt = kx(M − x) = h that describes constant-rate harvesting of a logistic population. Problems deal with the other cases.

This problem deals with the differential equation dx/dt = 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 = k(x − H)(x − K), where

Show that typical solution curves look as illustrated in Fig.