The population (in millions)  Ukraine in 2015 is 44.4 and the expected continuous annual rate of change k =−0.006. (a) Find the exponential growth model P = Cekt for the population by letting t = 5 correspond to 2015. (b) Use the model to predict the population of the country in 2030. (c) Discuss the relationship between the sign of k and the change in population for the country.

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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.