Please show your work for the answer. dBThe number of bacteria in a culture grows according todtB= B[ 1where t is the3500number of hours since observation began. Identify the equilibrium solution(s) to the equation andexplain their meaning in the context of the problem. Your explanation should involve completesentences that include all relevant numerical values and units.

Name: Please show your work for the answer. dBThe number of bacteria in a cu
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Description: Please show your work for the answer. dBThe number of bacteria in a culture grows according todtB= B[ 1where t is the3500number of hours since observation began. Identify the equilibrium solution(s) to the equation andexplain their meaning in the con

The given differential equation is dBdt=B1-B3500.We have to identify the…

Answered: dB В The number of bacteria in a…

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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Please show your work for the answer.

dB
The number of bacteria in a culture grows according to
dt
B
= B[ 1
where t is the
3500
number of hours since observation began. Identify the equilibrium solution(s) to the equation and
explain their meaning in the context of the problem. Your explanation should involve complete
sentences that include all relevant numerical values and units.

Expert Solution

Step 1

The given differential equation is
$\frac{d B}{d t} = B (1 - \frac{B}{3500})$ .
We have to identify the equilibrium solution for the D.E.

The condition for equilibrium solution of differential equation is $\frac{d B}{d t} = 0 .$

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