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 = 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 = 0.004H (260 - H)
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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FROM THE GIVEN INFORMATION,

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)

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
Expert Solution

Step 1
We will use given logistic growth model and integrate it to find value of H(t) .
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