Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The rate of increase of bacteria in a certain culture is proportional to the number present. If itdoubles in
hours then in
hours, its number would be
times original. Find
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
32
Let
be the initial population and let the population after
years be
. Then


On integrating, we have 
At 


When 


When
hours, we have

Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The order of the differential equation whose general solution is given by Where are arbitrary con…
The differential equation has the degree
The differential equations of all circles passing through origin and having their centers on the -…
The differential equation for the family of curves where is an arbitrary constant, is Find
The solution of the differential equation is Find
If and then function is Find