Let tank ?1 initially has 100 gallons of brine made with 100 pounds of salt. Tank ?2 initially has 100 gallons of purewater. Pure water is pumped into tank ?1 at the rate of 2.0 gallons per minute. Some of the mixture of brine and purewater flows into tank ?2 at 3 gallons per minute. To keep the tank levels the same, one gallon of the ?2 mixture flows backinto tank ?1 at a rate of one gallon per minute and 2.0 gallons per minute drains out. Find the amount of salt at any giventime in the tanks. What happens over a long period of time?

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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.