Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both inversely proportional to √P. 1 (a) Show that P(t)=kt +. JP.) ² (b) If Po=121 and after 4 months there are 289 fish in the lake, how many will there be after 8 months? (a) Find the differential equation dP dt = P a b P √P dP dt where k is a constant. where ß= a √P and 8= b √P

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