(b) A tank contains 50 gal of water in which initially 6 kg of salt are dissolved. Water containing salt ikg/gal runs into the tank at rate of 2 gal/min. The mixture, kept practically uniform runs out at the same rate, Solve for the amount of salt in the tank after 2 minutes.

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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.