By natural increase, a city whose population is 40000 doubles in 50 years. There is a net addition of 400 persons per year because of the people leaving and moving into the city. Estimate its population in 10 years. Hint: First find the natural growth proportionality factor. Assume rate of increase of population is proportional to the number of persons in the city at any time t.

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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.