a cylindrical tank is filled with 31.4 m3 of water at t = 0. The radius of the tank is 1 m and its height is 10 m. There is an outlet line with a radius of 0.1 m at the bottom of the tank. What is the time required for half of the water in the tank to drain after the outlet line is opened? The flow velocity of water from the bottom of the water tank is related to the height of the water in the tank, and this relationship is expressed by the formula v= (squareroot2gh) v: (m / sec) linear flow velocity, g: gravitational acceleration (10 m / sec2) and h: (m) height

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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.