A tank has $1000 m^3$ of salt solution. The salt concentration is $10\frac{kg}{m^3}$. At time zero, salt-free water starts to flow into the tank at a rate of $10\frac{m^3}{min}$. Simultaneously salt solution flows out of the tank at $10\frac{m^3}{min}$, so that the volume of the solution in the tank is always $1000 m^3$. A mixer in the tank keeps the concentration of of salt in the entire tank constant; the concentration in the effluent is the same at the concentration in the tank. What is the concentration in the effluent as a function of time?
Salt concentration as a function of time
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ordinary-differential-equations