uppose you are studying the growth of a bacteria population and you notice the rate of change of the population is equal to three times the number of bacteria present. Set up an ordinary differential equation for the number of bacteria and calculate the amount of time it will take for the population to double. Does the answer you found depend on the initial population y0 of the bacteria?" Need help solving problem above

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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"Suppose you are studying the growth of a bacteria population and you notice the rate of change of the population is equal to three times the number of bacteria present. Set up an ordinary differential equation for the number of bacteria and calculate the amount of time it will take for the population to double. Does the answer you found depend on the initial population y0 of the bacteria?"

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