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**phillipvdw2001** 2. A koala population N is subject to a birth rate a and a deah rate of b+y p per head of population per annum. Ecologists have modelled the rate of change of this population over time using the following:

dN/dt = (a-b)N-yN^2

It is knowln that a = 0.2, b=0.04, y= 2x10^-4 and the initial population was 200.

Determine if and when the population will have doubled in size.

I have this question down to t= int(1/(0.16N-2*1-^-4N^2) dn. I can't seem to integrate it properly. If someone could integrate and point me in the right direction for the rest of the question that'd be great.