HW8: Problem 15 Previous Problem List Next (1 point) We consider the problem y" 20 (12x -4x) First we consider the homogeneous problem y"-0: 1) the auxiliary equation is ar2 + br + c = 2) The roots of the auxiliary equation are 3) A fundamental set of solutions is the complementary solution ye = ciyi + c2 y2 for arbitrary constants c1 and c2 . 0 (enter answers as a comma separated list). (enter answers as a comma separated list). Using these we obtain the 20 (12 Next we seek a particular solution y, of the non-homogeneous problem " coefficients (See the link below for a help sheet) -4x3) using 4) Apply the method of undetermined coefficients to find y, We then find the general solution as a sum of the complementary solution ye cin t 2n and a particular solution: y -ye t yp Finally you are asked to use the general solution to solve an IVP. 5) Given the initial conditions y(0) =-1 and y' (0) =-2 find the unique solution to the VP