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The discussion clarifies the distinction between the variables dx/dt and dy/dt in the context of a mixing process. Specifically, dy/dt represents the accumulation of salt in the tank, while dx/dt does not. The concentration of the output stream, denoted as y, consistently reflects the concentration within the tank. This understanding is crucial for accurately modeling fluid dynamics in systems involving mixing and concentration changes.
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hydrogen1 said:It is incorrect because dx/dt is not the accumulation of salt in the tank. dy/dt is.