A tank originally contains 160 liters of water with 10 grams of salt in solution. Beginning at t = 0, water containing 1 grams of salt per liter flows into the tank at a rate of 3 liters per minute and the uniform mixture drains from the tank at a rate of 3 liters per minute. Letting t be time in minutes and Q be the amount of salt in the tank at time t measured in grams, formulate an initial value problem modeling the amount of salt in the tank at any time. dQ dt Q(0) = Find the solution of the initial value problem Q(1) = II

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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.