At time t = 0, a tank contains 15 oz of salt dissolved in 50 gallons of water. Then brine containing 2oz of salt per gallon of brine is allowed to enter the tank at a rate of 2 gal/min and the mixed solution is drained from the tank at the same rate. (a) How much salt is in the tank at an arbitrary time? Oz. oz. (b) How much salt is in the tank at time 15 min? oz.

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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.