I am thinking that when t=0, C=10. Am I suppose to cancel out P to find out k or something?
A population of animals in an ecological niche is growing in time so that it's rate of growth dp/dt is related to its current size by the differential equation dp/dt = 900/p^2. If time is measured in years and initially there are P(0) = 10 animals present, find the population function P(t) giving the size of the population after t years.
Don't get this, but I integrated it, am I suppose to plug 900 somewhere in the equation P=Ce^kt??