Q3. If a constant number h of fish are harvested from a fishery per unit time, then a model for the population o P(t) of the fishery at a time t is given by dP Р(а - bР) — Һ, P(0) = Po, dt where a, b,...

3) please show all steps as possible

math differential equation

Extracted text: Q3. If a constant number h of fish are harvested from a fishery per unit time, then a model for the population o P(t) of the fishery at a time t is given by dP Р(а - bР) — Һ, P(0) = Po, dt where a, b, h, and Po are positive constants. i) Solve this IVP. ii) Suppose a = 5, b = 1 and h of the population for the cases 0 < po="">< 1,="" 1="">< po="">< 4,="" and="" po=""> 4. 4. Then Use part (i) to determine the long term behavior iii) Use the information in parts (i) and (ii) to determine whether the fishery population becomes extinct in finite time T. If so, find that time T.