Answered: Tanks T1 and T2 have 75 gal and 125 gal…

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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Tanks T1 and T2 have 75 gal and 125 gal of salt solutions. A solution with 3 pounds of salt per gallon is pumped into T1 from an external source at 1 gal/min, and a solution with 4 pounds of salt per gallon is pumped into T2 from an external source at 2 gal/min. The solution from T1 is pumped into T2 at 3 gal/min, and the solution fromT2 is pumped into T2 at 4gal/min. T1 is drained at 2 gal/min and T2 is drained at 1 gal/min. Let Q1(t) and Q2(t) be the number of pounds of salt inT1andT2, respectively, at time t>0. Derive a system of differential equations forQ1andQ2. Assume that both mixtures are well stirred. you don't need to solve the system

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