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The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of time, t, in days, can be written as dH dt = 0.004H (260-H)

The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of time, t, in days, can be written as dH dt = 0.004H (260-H)

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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Question

Please determine the TIME at which the height of the sunflower is increasing most rapidly and the actual HEIGHT of the sunflower at that time. Differential Equations

The condition is, H (7) = 17.9; 260 1+ Ce-0.004 (7) 17.9= ⇒1+C₂-0.004(7) ⇒C₂ -0.004(7) ⇒ -662) = 5- 260 17.9 260 17.9' ¡-1)× ⇒C 13.9092; ⇒H(t)= - 1; 0.004x(7). xeº 260 1+13.9092xe-0.004z
Transcribed Image Text:The condition is, H (7) = 17.9; 260 1+ Ce-0.004 (7) 17.9= ⇒1+C₂-0.004(7) ⇒C₂ -0.004(7) ⇒ -662) = 5- 260 17.9 260 17.9' ¡-1)× ⇒C 13.9092; ⇒H(t)= - 1; 0.004x(7). xeº 260 1+13.9092xe-0.004z
The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of time, t, in days, can be written as dH dt = 0.004H (260- H)
Transcribed Image Text:The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of time, t, in days, can be written as dH dt = 0.004H (260- H)
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