Differential Equation:

The pacific halibut fishery has been modeled by the differential:
dy/dt=ky(M-y)
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 M=8∗10^7kg and k=8.875*10^-9 per year.

a) if y(0)=2⋅10^7kg find the biomass a year later.

b) How long will it take for the biomass to reach 4⋅10^7kg?

Question

Differential Equation:

The pacific halibut fishery has been modeled by the differential:
dy/dt=ky(M-y)
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 M=8∗10^7kg and k=8.875*10^-9 per year.

a) if y(0)=2⋅10^7kg find the biomass a year later.

b) How long will it take for the biomass to reach 4⋅10^7kg?