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johnnybones03
21.06.2021 •
Mathematics
Consider a fishery in which harvesting is taking placeat a constant rateh. The population at the fisherywill be modeled by
dP/dt = kP- h
Required:
Find the general solution to this DE.
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Ответ:
The general solution to this differential equation is![P(t) = \frac{Ke^{kt} + h}{k}](/tpl/images/1380/4188/0c2a8.png)
Step-by-step explanation:
We are given the following differential equation:
Solving by separation of variables:
Integrating both sides:
On the left side, by substitution, u = kP - h, du = kDp, Dp = du/k. Then
In which K is the constant of integration.
The general solution to this differential equation is![P(t) = \frac{Ke^{kt} + h}{k}](/tpl/images/1380/4188/0c2a8.png)
Ответ:
and what is it that ur stuck on?
Step-by-step explanation: