3. A tank initially holds 10 gallons of salt-water solution containing 7lb of dissolved salt. At t = 0 another salt-water solution containing 1lb of salt per gallon is poured into the tank at a rate of 3gal/min, while the well-stirred mixture leaves the tank at the same rate. Write an IVP that represents this situation. Solve for the function that represents the amount of salt in the tank at time t.
3. A tank initially holds 10 gallons of salt-water solution containing 7lb of dissolved salt. At t = 0 another salt-water solution containing 1lb of salt per gallon is poured into the tank at a rate of 3gal/min, while the well-stirred mixture leaves the tank at the same rate. Write an IVP that represents this situation. Solve for the function that represents the amount of salt in the tank at time t.
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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Transcribed Image Text:3. A tank initially holds 10 gallons of salt-water solution containing 7lb
of dissolved salt. At t = 0 another salt-water solution containing 1lb of
salt per gallon is poured into the tank at a rate of 3gal/min, while the
well-stirred mixture leaves the tank at the same rate. Write an IVP that
represents this situation. Solve for the function that represents the
amount of salt in the tank at time t.
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