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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
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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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