A brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held 230 L of brine solution in which was dissolved 15 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate that it flows in. The concentration of salt in the brine entering the tank is 0.45 kg/L. (a) Write a differential equation modeling the change in mass (in kg) of salt in the tank. Use x and t if necessary. (b) Determine the mass of the salt in the tank after t min. Include units.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.