Another model for a growth function for a limited population isgiven by the Gompertz function, which is asolution to the differential equation
dP/dt=cln(K/P)P
where c is a constant and K is the carryingcapacity. Answer the following questions
1. Solve the differential equation with aconstant c=0.15, carrying capacity K=3000, andinitial population P0=1000
Answer: P(t)=?
2. With c=0.15, K=3000, andPo=1000, find limt→∞P(t).
Limit:?
