Suppose a population is growing at constant rate , but that individuals are harvested at a rate of h, following the differential equation db dt b h For each of the following values of and h, use separation of variables to find the solution, and compare graphs of the solution with those found earlier from a phase line diagram 0 5, h 1000

Question: Suppose a population is growing at constant rate , but that individuals are harvested at a rate of h, following the differential equation db/dt =

Suppose a population is growing at constant rate λ, but that individuals are harvested at a rate of h, following the differential equation db/dt = λb - h. For each of the following values of λ and h, use separation of variables to find the solution, and compare graphs of the solution with those found earlier from a phase-line diagram.
λ = 0.5, h = 1000.

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