carrying capacity problem

Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000 . The number of fish doubled in the first year. dP/dt = rP(1- p/K) find an expression for the size of the population after t years by determining constant r.

Logistic model

A population obeys the logistic model. It satisfies the equation : dP/dt = 2/1300 P(13-P) for P>0 Find when P is increasing and decreasing.

carrying capacity

Suppose that a population develops according to the logistic equation: dP/dt = 0.15P - 0.003P^2 where t is measured in weeks. what is the carrying capacity?

Logistic model

A population obeys the logistic model. It satisfies the equation dP/dt = 2/1300 P(13-P) for P>0 Assume P(0)= 3 Find P(74)

Elementary Differentail equations college coarse homework

Please view attached zip file. Contains jpeg images of homework problems. There are 7 pages, please view them in 100 % size to see them correctly. This is a homework assignment for an elemnatary diffeq college coarse. ANSWERS ARE PROVIDED but you need to solve them step by step and SHOW all these steps, and if possible explain a little. This shouldnt be hard for someone who knows the material. Again i stress that all steps and calculations to be shown. If i am satisfied i will be posting more of these. Thank you