A certain bacteria culture is observed to double its amount after two hours it was initially observed. Predict the factor the initially observed population will be multiplied to after another two hours, if the rate of growth of the culture is proportional to the current amount. Put your answer accurate up to four decimal places and use differential equations. Also, if this certain bacteria culture is observed that the rate of growth of the population P at any time t is proportional to the current amount. Show how the following is the differential equation for this problem: = kP dt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A certain bacteria culture is observed to double its amount after two hours it
was initially observed. Predict the factor the initially observed population will be
multiplied to after another two hours, if the rate of growth of the culture is
proportional to the current amount.
Put your answer accurate up to four decimal places and use differential
equations.
Also, if this certain bacteria culture is observed that the rate of growth of the
population P at any time t is proportional to the current amount. Show how the
following is the differential equation for this problem:
dP
= kP
dt
Show full solutions
Transcribed Image Text:A certain bacteria culture is observed to double its amount after two hours it was initially observed. Predict the factor the initially observed population will be multiplied to after another two hours, if the rate of growth of the culture is proportional to the current amount. Put your answer accurate up to four decimal places and use differential equations. Also, if this certain bacteria culture is observed that the rate of growth of the population P at any time t is proportional to the current amount. Show how the following is the differential equation for this problem: dP = kP dt Show full solutions
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