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1.

The population P satisfies the differential equation

dP

dt = X(P) − Y(P) , where X(P) is the birth rate and Y(P) is the death rate. Find the general solution P(t) to this differential equation for the case that X(P) = k1(sqrt)P and Y(P) = k(sqrt)P , where k1 and k2 are positive constants. In the case k2 > k1, determine the time t0 at

which the population has died out if the population at time t = 0 was P0.

Thanks