A bank account that earns 10% interest compounded continuouslyhas an initial balance of

Chapter 11, Problem 6

(choose chapter or problem)

A bank account that earns 10% interest compounded continuouslyhas an initial balance of zero. Money is depositedinto the account at a constant rate of $1000 peryear.(a) Write a differential equation that describes the rateof change of the balance B = f(t).(b) Solve the differential equation to find the balance asa function of time.

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