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
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
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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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
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