dB В The number of bacteria in a culture grows according to - B(1- dt 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

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.
Transcribed Image Text: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 
                          dBdt=B1-B3500.
We have to identify the equilibrium solution for the D.E.

The condition for equilibrium solution of differential equation is dBdt=0.

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,