A tank contains 350 liters of fluid in which 45 grams of salt are dissolved. Brine containing 5 grams of salt per liter is then pumped into the tank at a rate of 4 L/min. The well mixed solution is pumped out at the same rate.  Set up an initial value problem (a differential equation with an initial condition) to find the amount of salt Q(t)  in the

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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.