In 2012, the population of a city was 5.55 million. The exponential growth rate was 3.55% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 9 million? d) Find the doubling time. a) The exponential growth function is P(t) = [ (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) where t is in terms of the number of years since 2012 and P(t) is the population in millions.

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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.