Ononot — A tank initially contains V0 liters of water with S0 kg of s

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Differential Equationshard

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A tank initially contains $V_0$ liters of water with $S_0$ kg of salt. Brine with concentration $C_{in}$ kg/L flows in at rate $r_{in}$ L/min, and the mixture flows out at $r_{out}$ L/min. If $r_{in} \neq r_{out}$ , what is the correct form of the differential equation for the amount of salt $S(t)$ ?