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Differential EquationsSuperchallengeModels & Qualitative Behavior

Models & Qualitative Behavior · Superchallenge problem

A tank holds 100100 L of pure water. Brine with 22 g/L of salt flows in at 55 L/min, and the well-mixed solution drains at 55 L/min. The salt amount satisfies dSdt=10−S20\dfrac{dS}{dt} = 10 - \dfrac{S}{20}. How many grams of salt does the tank approach as t→∞t \to \infty?