A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb of salt per gallon is poured into the tank at the rate of 3.5 gal / min, while the well – stirred mixture leaves the tank at a rate of 2 gal / min. Determine the amount of time to overflow the tank and the amount of salt as soon as the tank overflows.

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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.