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5. A tank contains 100 gal of water and 50 lbs of salt. Water containing a salt concentration of (1 + sin(t)) lbs/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) Assuming perfect and instantaneous mixing, write down the IVP that models the amount of salt in the tank, q(t), as a function of the time, t, in minutes.

5. A tank contains 100 gal of water and 50 lbs of salt. Water containing a salt concentration of (1 + sin(t)) lbs/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) Assuming perfect and instantaneous mixing, write down the IVP that models the amount of salt in the tank, q(t), as a function of the time, t, in minutes.

Advanced Engineering Mathematics
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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5. A tank contains 100 gal of water and 50 lbs of salt. Water containing a salt concentration of (1 + sin(t)) lbs/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) Assuming perfect and instantaneous mixing, write down the IVP that models the amount of salt in the tank, q(t), as a function of the time, t, in minutes.
Transcribed Image Text:5. A tank contains 100 gal of water and 50 lbs of salt. Water containing a salt concentration of (1 + sin(t)) lbs/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) Assuming perfect and instantaneous mixing, write down the IVP that models the amount of salt in the tank, q(t), as a function of the time, t, in minutes.
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