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This problem is about the equation dP/dt = kP-H , P(0) = Po, where k > 0 and H > 0 are constants. If H = 0, you have dP/dt = kP , which models exponti

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asked 2021-03-07
This problem is about the equation
dP/dt = kP-H , P(0) = Po,
where k > 0 and H > 0 are constants.
If H = 0, you have dP/dt = kP , which models expontialgrowth. Think of H as a harvesting term, tending to reducethe rate of growth; then there ought to be a value of H big enoughto prevent exponential growth.
Problem: find acondition on H, involving \(\displaystyle{P}_{{0}}\) and k, that will prevent solutions from growing exponentially.

Expert Answers (1)

2021-03-09
i just edited the question alittle bit, maybe this time itwill be clearer
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