- #1
scarlets99
- 11
- 0
Hi could someone please explain how this can be done please
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.
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.