The rate of growth of a plant is proportional to the difference between its height h and the maximum height H. If the h H when t = 0, express this in term of differential equation 4 = - 3 and show that h = H|1- 4 –kt where k is a constant.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The rate of growth of a plant is proportional to the difference between its height h and the
maximum height H. If the h
H when t = 0, express this in term of differential equation
4
= -
3
and show that h= H1
-kt
--e
where k is a constant.
Transcribed Image Text:The rate of growth of a plant is proportional to the difference between its height h and the maximum height H. If the h H when t = 0, express this in term of differential equation 4 = - 3 and show that h= H1 -kt --e where k is a constant.
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