A cylindrical tank filled with water has height h and a baseof area A. Water leaks through a hole in the bottom of area B.(a) Show that the time required for the tank to empty is proportionalto A√h/B.(b) Show that the emptying time is proportional to V h−1/2, where Vis the volume of the tank.(c) Two tanks have the same volume and a hole of the same size, butthey have different heights and bases. Which tank empties first: thetaller or the shorter tank

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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.