Suppose a large mixing tank initially contains 300 gallons of water in which they have been dissolved 50 pounds of salt. Another salty solution is pumped into the tank at a rate of 3 gallons per minute, and when the solution is well mixed, it is pumped towards out at a rate of less than 2 gallons per minute. If the shrinkage of the entering solution is 2 lb/gal, determine a differential equation for the quantity A(t) of salt present in the tank at time t. what will be the differential equation if The well-mixed solution is pumped out to a rate greater than 3.5 gallons per minute?

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
100%

Good morning, could you help me solve the following problem?:
First of all, Thanks.
Suppose a large mixing tank initially contains
300 gallons of water in which they have been dissolved
50 pounds of salt. Another salty solution is pumped into the
tank at a rate of 3 gallons per minute, and when
the solution is well mixed, it is pumped towards
out at a rate of less than 2 gallons per minute.
If the shrinkage of the entering solution is 2 lb/gal,
determine a differential equation for the quantity A(t)
of salt present in the tank at time t.

what will be the differential equation if
The well-mixed solution is pumped out to a
rate greater than 3.5 gallons per minute?

 

 

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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,