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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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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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