A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the size of the object. Suppose a person has a windpipe with a 13​-mm radius. If a foreign object has a radius​ r, in​ millimeters, then the velocity​ V, in​ millimeters/second, needed to remove the object by a cough is given by the following​ equation, where k is some positive constant. For what size object is the maximum

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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.