Question: A bank account that earns 10% interest compounded continuously has an initial balance of zero. Money is deposited into the account at a continuous rate

A bank account that earns 10% interest compounded continuously has an initial balance of zero. Money is deposited into the account at a continuous rate of $1000 per year.
(a) Write a differential equation that describes the rate of change of the balance B = f(t).
(b) Solve the differential equation.

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