Problems 33 through 37 illustrate the application of linear first-order differential equations to mixture problems. A tank

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Problems 33 through 37 illustrate the application of linear first-order differential equations to mixture problems.

A tank initially contains 60 gal of pure water. Brine containing 1 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min; thus the tank is empty after exactly 1 h.

(a) Find the amount of salt in the tank after t minutes.
(b) What is the maximum amount of salt ever in the tank?

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 01, 2023 01:57 AM

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Problems 33 through 37 illustrate the application of linear first-order differential equations to mixture problems. A tank

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a b Let x t denote the amount of salt in kg in the tank after t minute...View the full answer

Differential Equations And Linear Algebra

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