David opens a bank account with an initial balance of 1000 dollars. Let b(t) be the balance in the account at time t. Thus (0) 1000. The bank is paying interest at a continuous rate of 5% per year. David makes deposits into the account at a continuous rate of s(t) dollars per year. Suppose that s(0) = 700 and that s(t) is increasing at a continuous rate of 4% per year (David can save more as his income goes up over time) (a) Set up a linear system of the form db dt = mub + M128, ds dt = m2b + m228. m1 = m2 = M21 = m2 = (b) Find b(t) and s(t). b(t) = s(t) =