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Population decrease help

  1. Feb 3, 2010 #1
    Hi could someone please explain how this can be done please

    The population P satisfies the differential equation
    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.
  2. jcsd
  3. Feb 4, 2010 #2
    Do you know about separation of variables?
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