Let y(t) represent your bank account balance, in dollars, after 1' years. Suppose you start with 570000 in the account. Each year the account earns 3% interest, and you withdraw 59000. Write the differential equation modeling this situation. Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $100000 in the account. Each year the account earns 4% interest, and you deposit $10000 into the account. This can be modeled with the differential equation: dy t : 0.04;; + 10000 d y(0) = 100000 Solve this differential equation for y(t) y(t) =\\ R Which of the following functions (there may be more than one) are solutions of the differential equation y"' + 64y = 16y' ? Oy = et Oy = est + tet Oy = test + 808t Oy = 11test Oy = est