A tank contains 70 gallons of pure water. A brine solution with 2 lbs / gal of salt enters at 2.25 gal / min and the well – stirred mixture leaves at the same rate. Find the amount of salt in the tank at any time t and the time at which the brine leaving the tank will contain 15 lbs of salt.

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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.