An investor is presented with a choice of two investments: an established clothing store and a new book store. Each choice requires the same initial investment and each produces a continuous income stream of 6%, compounded continuously. The rate of flow of income from the clothing store is f(t) = 18,000, and the rate of flow of income from the book store is expected to be g(t) = 16,000 e 0.03t Compare the future values of these investments to determine which is the better choice over the next 2 years. ...... The future value of the clothing store is $. (Round to the nearest dollar as needed.)

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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.