We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate dependent on the concentration of salt in the tank at time t, as follows. R. = 9 lb/min 2A(E) Ib/min Rout = 400 + t We were originally asked to find the total rate of change of salt in the tank as solution is added to the tank at one rate and removed from the tank at another rate. dA = (input rate of salt) - (output rate of salt) dt Therefore, a differential equation (in Ib/min) for the amount of salt A(t) (in Ib) in the tank at time t> 0 is the following. (Use A for A(t).) dA Ib/min dt

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
Question
We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate dependent on the concentration of salt in the tank at time t, as
follows.
Rn = 9 lb/min
2A(t) Ib/min
400 +t
Rout =
We were originally asked to find the total rate of change of salt in the tank as solution is added to the tank at one rate and removed from the tank at another rate.
dA
= (input rate of salt) - (output rate of salt)
dt
Therefore, a differential equation (in Ib/min) for the amount of salt A(t) (in Ib) in the tank at time t> 0 is the following. (Use A for A(t).)
dA
Ib/min
dt
Transcribed Image Text:We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate dependent on the concentration of salt in the tank at time t, as follows. Rn = 9 lb/min 2A(t) Ib/min 400 +t Rout = We were originally asked to find the total rate of change of salt in the tank as solution is added to the tank at one rate and removed from the tank at another rate. dA = (input rate of salt) - (output rate of salt) dt Therefore, a differential equation (in Ib/min) for the amount of salt A(t) (in Ib) in the tank at time t> 0 is the following. (Use A for A(t).) dA Ib/min dt
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
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,