A mixing tank contains 80 gallons of pure water solution. When the mixing system is turned on, a saltwater solution with 2 Ib/gal of salt enters at a rate of 5 gal/min. The well stirred solution leaves the mixing tank at a rate of 3 gal/min. Determine the formula for the amount of salt in the mixing tank at any time. a) Draw a diagram of the mixing tank labeling the given parameters of the problem. b) Determine the differential equation and the initial conditions. c) Determine the formula for the amount of salt in the mixing tank at any time.

A mixing tank contains 80 gallons of pure water solution. When the mixing system is turned on, a saltwater solution with 2 Ib/gal of salt enters at a rate of 5 gal/min. The well stirred solution leaves the mixing tank at a rate of 3 gal/min. Determine the formula for the amount of salt in the mixing tank at any time. a) Draw a diagram of the mixing tank labeling the given parameters of the problem. b) Determine the differential equation and the initial conditions. c) Determine the formula for the amount of salt in the mixing tank at any time.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...

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