Problem #7: Suppose that a population P(t) follows the following Gompertz differential equation. dP = 6P(17-InP), di with initial condition P(O) 80. (a) What is the limiting value of the population&#...
Problem #6: A model for a certain population P(1) is given by the initial value problem dP-H10-3-10-13 P), dt P(0)= 100000000, where t is measured in months (a) What is the limiting value of the population'? (b) At what time (i.e., after how many months) will the populaton be equal to one half of the limiting value in (a)? Do not round any numbers for this part. You work should be all symbolic.) Problem #6(a): 10000000000 Enter your answer symbolically,...
Problem #10: A model for a certain population P() is given by the initial value problem P(10-1-10-9 P), P(0) - 1000000 dt where t is measured in months (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one fifth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.) Problem #10(a): 100000000 Enter your answer...