A colony of bacteria is grown under ideal conditions in a laboratory so that the rate of increase of the bacteria population is proportional to the number of bacteria present. (a) Write down the differential equation that models this situation. (Define all the symbols that you use.) (b) Find the general solution of the differential equation in (a). (c) Solve this differential equation, given that at the end of 3 hours there are 10 000 bacteria and at the end of 5 hours there are 40 000.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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. A colony of bacteria is grown under ideal conditions in a laboratory so that the rate of increase of
the bacteria population is proportional to the number of bacteria present.
(a) Write down the differential equation that models this situation. (Define all the symbols that you use.)
(b) Find the general solution of the differential equation in (a).
(c) Solve this differential equation, given that at the end of 3 hours there are 10 000 bacteria and at the end of 5 hours there are 40 000.

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