A tank is initially filled with 1000 gal. of salt solution containing 500 H of salt. Fresh water runs into the tank at the rate 10 gal/min and the mixture, assumed to be kept uniform by stirring, runs out at the same rate. Find the amount of salt in the tank at any time t, and determine how long it will take for this amount to reach 100 H.

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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.