HW8: Problem 10 Previous Problem List | Next (1 point) We consider the non-homogeneous problem y"-4y, + 4y = 16x2 First we consider the homogeneous problem y"-4y + 4y = 0 : 1) the auxiliary equation is ar2 + br + c = 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is complementary solution ye = ciyi + c2y2 for arbitrary constants q and c2 (enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the the problem y"-4y, + 4y = 16x2 using the rmethod of Next we seek a particular solution y, of the non-homogeneous undetermined coefficients (See the link below for a help sheet) 4) Apply the method of undetermined coefficients to find y, We then find the general solution as a sum of the complementary solution y cyi +022 and a particular solution: y=ye +y,"Finally you are asked to use the general solution to solve an IVP 5) Given the initial conditions y(0) = 8 and y(0) 14 find the unique solution to the IVP 26