A tank initially contains 100 gal of brine in which50 lb of salt is dissolved. A brine containing 2 lb / gal of salt runsinto the tank at the rate of 5 gal/ min. The mixture is kept uniformby stirring and flows out of the tank at the rate of 4 gal /min. At what rate (pounds per minute) does salt leave the tank at time t?

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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.