A tank contains 100gal of water and 50oz of salt. Water containing a salt concentration of (1+ ½sin(t)) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in the tank flows out at the same rate. (a) Find the amount of salt in the tank at any time. (b) Plot the solution for a time period long enough so that you see the ultimate behavior. Describe the longterm behavior. (Please cite your graphing tool).
A tank contains 100gal of water and 50oz of salt. Water containing a salt concentration of (1+ ½sin(t)) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in the tank flows out at the same rate. (a) Find the amount of salt in the tank at any time. (b) Plot the solution for a time period long enough so that you see the ultimate behavior. Describe the longterm behavior. (Please cite your graphing tool).
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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![A tank contains 100gal of water and 50oz of salt. Water containing a salt concentration
of (1+sin(t)) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in
the tank flows out at the same rate.
(a) Find the amount of salt in the tank at any time.
(b) Plot the solution for a time period long enough so that you see the ultimate
behavior. Describe the longterm behavior. (Please cite your graphing tool).
SO](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6323e31-e6ef-4cfa-be95-a62a72c39f9d%2F52608c5e-fd02-4bdf-8284-a62a45d67cf5%2Fw8b6o39_processed.png&w=3840&q=75)
Transcribed Image Text:A tank contains 100gal of water and 50oz of salt. Water containing a salt concentration
of (1+sin(t)) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in
the tank flows out at the same rate.
(a) Find the amount of salt in the tank at any time.
(b) Plot the solution for a time period long enough so that you see the ultimate
behavior. Describe the longterm behavior. (Please cite your graphing tool).
SO
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