Given dpdt 16p p2 what are the equilibrium solutions Are t

Given dp/dt = 16p - p^2 what are the equilibrium solutions? Are they stable or unstable? How do you know? If the population is in 1000\'s and the time is in years, after 3 years what would the population be if there were 2000 at time equal 0?

Solution

Given dp/dt=16p-p2

equilibrium solutions are given by dp/dt=0

so 16p-p2=0

p(16-p)=0

p=0 and 16-p=0

p=0,p=16

 Given dp/dt = 16p - p^2 what are the equilibrium solutions? Are they stable or unstable? How do you know? If the population is in 1000\'s and the time is in ye

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