Thread: models for population growth!!..HELPP!!

The Pacific halibut fishery has been modeled by the differential equation:
dy/dt=ky(1-(y/K) where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t(measured in years), the carrying capacity is estimated to be K=8 x 10^7 kg, and k= 0.71 per year.

a) if y(0)=2 x 10^7 kg, find the biomass a year later.
b) How long will it take for the biomass to reach 4 x 10^7 kg?

HELPP!!

Originally Posted by singh1030

The Pacific halibut fishery has been modeled by the differential equation:
dy/dt=ky(1-(y/K) where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t(measured in years), the carrying capacity is estimated to be K=8 x 10^7 kg, and k= 0.71 per year.

a) if y(0)=2 x 10^7 kg, find the biomass a year later.
b) How long will it take for the biomass to reach 4 x 10^7 kg?

HELPP!!

Basically you need a solution to the differential equation






You can integrate the LHS using partial fractions.

-Dan