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Mixing Problems. Many physical systems can be cast in the form of a mixing tank problem. Consider a tank containing a solution—a mixture of solute and solvent–such as salt dissolved in water. Assume that the solution at concentration
where
If the tank initially contains an amount of solute
A pond initially contains
Write a differential equation for the amount of chemical in the pond at any time.
How much of the chemical will be in the pond after avery long time? Does this limiting amount depend on theamount that was present initially?
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Differential Equations: An Introduction to Modern Methods and Applications
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