A bank account earns 3% annual interest compounded continuously. Continuous payments are made out of the account at a rate of $11000 per year for 17 years.

(a) Write a differential equation describing the balance $B$ in the account (where $B$ is a function of $t$, measured in years).
$B' =$

(b) Solve the differential equation given an initial balance of $B0$ dollars.
$B =$

(c) What should the initial balance be such that the account has zero balance after precisely 17 years?
$B0 =$