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Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the differential equation dP K = cln)P dt P where c is a constant and K is the carrying capacity. Answer the following questions. 1. Solve the differential equation with a constant c = 0.15, carrying capacity K = 3000, and initial population Po = 500. Answer: P(t) = %3D %3D 2. With c = 0.15, K = 3000, and Po = 500, find lim P(t). t+00 Limit: 3000

Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the differential equation dP K = cln)P dt P where c is a constant and K is the carrying capacity. Answer the following questions. 1. Solve the differential equation with a constant c = 0.15, carrying capacity K = 3000, and initial population Po = 500. Answer: P(t) = %3D %3D 2. With c = 0.15, K = 3000, and Po = 500, find lim P(t). t+00 Limit: 3000

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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At least one of the answers above is NOT correct. Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the differential equation dP = c ln dt K P where c is a constant and K is the carrying capacity. Answer the following questions. = 3000, and initial population Po = 500. 1. Solve the differential equation with a constant c = 0.15, carrying capacity K Answer: P(t) = 2. With c = 0.15, K = 3000, and Po = 500, find lim P(t). Limit: 3000
Transcribed Image Text:At least one of the answers above is NOT correct. Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the differential equation dP = c ln dt K P where c is a constant and K is the carrying capacity. Answer the following questions. = 3000, and initial population Po = 500. 1. Solve the differential equation with a constant c = 0.15, carrying capacity K Answer: P(t) = 2. With c = 0.15, K = 3000, and Po = 500, find lim P(t). Limit: 3000
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