A culture initialy has N mumber of bacteria. At t = 1 hour the mumber of bacteria is measured to be (})No. If the rate of growth is proportional to the number of bacteria present, determine the time necesary for the mumber of bacteria to triple.
A culture initialy has N mumber of bacteria. At t = 1 hour the mumber of bacteria is measured to be (})No. If the rate of growth is proportional to the number of bacteria present, determine the time necesary for the mumber of bacteria to triple.
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 help with this differential equation
Expert Solution
Step 1
Let N be the number of bacteria at time t.
The rate of increase which is proportional to N =
Given
, where k is any constant.
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