An investor is presented with an investment proposal which produces a continuous income stream of 10%, compounded continuously for 5 years. The rate of flow of the income from the investment is f(t) = 9000e0.04. 1) Determine the future value of the investment. 2) Compute the interest earned.

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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.