Question
Suppose that the number x(t) (with t in months) of alliga-
tors in a swamp satisfies the differential equation dx/dt =
0.0001x2 – 0.01x.
(a) If initially there are 25 alligators in the swamp, solve
this differential equation to determine what happens
to the alligator population in the long run.
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Transcribed Image Text

Suppose that the number x(t) (with t in months) of alliga- tors in a swamp satisfies the differential equation dx/dt = 0.0001x2 – 0.01x. (a) If initially there are 25 alligators in the swamp, solve this differential equation to determine what happens to the alligator population in the long run.

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