Consider the differential equation y'(t) - 2y(t) = 8, y(0) = 3. a. Find a power series for the solution of the differential equation. b. Identify the function represented by the power series. a. Choose the correct answer below. 28 3 14 .70-1 O A. y(t) = 8 + 14t + 14t- + 3 .+ n! (-1)"14.20 -1 O B. y(t) = 3 - 14t + 14t- - 28 3 3 + + . . n! 14.70 -1 O C. y(t) =3 + 14t + 14t- + 28 3 3 n! O D. y(t) =8 - 14t + 1412 _ 28 3 (- 1) "14.20 -1 3 n