A 48 gallon tank is filled with pure water. Water which has a concentration of 2g of salt per gallon flows into the tank at a rate of 3 gallons/min, and the mixture is stirred to a uniform concentration. Water also leaks from the tank at the same rate, 3 gallons/min. Find a differential equation describing the rate of change of salt in the tank.

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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.