A person deposits $10,000 in a bank account and decides to make additional deposits at the rate of A dollars per year. The bank compounds interest continuously at the annual rate of 6%, and the deposits are made continuously into the account.(a) Set up a differential equation that is satisfied by the amount f(t) in the account at time t.(b) Determine f(t) (as a function of A).(c) Determine A if the initial deposit is to double in 5 years.

Q: Part A,B,C

A: 2.(a) Given:

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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.