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Problem #6: Suppose that a population P(t) follows the following Gompertz differential equation. dP = 4P(13-In P), dt with initial condition P(0) = 80. Problem #6(a): (a) What is the limiting value of the population? (b) What is the value of the population when t = 2? e^13 e13 Enter your answer symbolically, as in these examples

Problem #6: Suppose that a population P(t) follows the following Gompertz differential equation. dP = 4P(13-In P), dt with initial condition P(0) = 80. Problem #6(a): (a) What is the limiting value of the population? (b) What is the value of the population when t = 2? e^13 e13 Enter your answer symbolically, as in these examples

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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Problem #6: Suppose that a population P(t) follows the following Gompertz differential equation. dp dt with initial condition P(0) = 80. Problem #6(a): Problem #6(b): (a) What is the limiting value of the population? (b) What is the value of the population when t = 2? e^13 = 4P(13 - In P), e13 Just Save Problem #6 Your Answer: Attempt #1 6(a) 6(b) Enter your answer symbolically, as in these examples Enter your answer symbolically, as in these examples Attempt #2 6(a) 6(b) Attempt #3 6(a) 6(b)
Transcribed Image Text:Problem #6: Suppose that a population P(t) follows the following Gompertz differential equation. dp dt with initial condition P(0) = 80. Problem #6(a): Problem #6(b): (a) What is the limiting value of the population? (b) What is the value of the population when t = 2? e^13 = 4P(13 - In P), e13 Just Save Problem #6 Your Answer: Attempt #1 6(a) 6(b) Enter your answer symbolically, as in these examples Enter your answer symbolically, as in these examples Attempt #2 6(a) 6(b) Attempt #3 6(a) 6(b)
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