Suppose that a sum S0 is invested at an annual rate of return r compounded continuously. a.Find the time T required for the original sum to double in value as a function of r. b.Determine T if r = 7%. c.Find the return rate that must be achieved if the initial investment is to double in 8 years.

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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.