A tank is initially filled with 400 gal of salt solution with a concentration of 0.08 Ib/gal. At time = 0, pure water is poured into the tank at a rate of 2 gal/min. Simultaneously, a drain is opened at the bottom of the tank allowing the solution to leave the tank at a rate of 3 gal/min. The tank s well-stirred. Let x(t) represent the amount of salt (in lb) in the tank after t min. Write down the nitial value problem that x(t) satisfies. DO NOT SOLVE the initial value problem.

A tank is initially filled with 400 gal of salt solution with a concentration of 0.08 Ib/gal. At time = 0, pure water is poured into the tank at a rate of 2 gal/min. Simultaneously, a drain is opened at the bottom of the tank allowing the solution to leave the tank at a rate of 3 gal/min. The tank s well-stirred. Let x(t) represent the amount of salt (in lb) in the tank after t min. Write down the nitial value problem that x(t) satisfies. DO NOT SOLVE the initial value problem.

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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