HW8: Problem 16 Previous Problem List Next (1 point) We consider the problem y"-y' = 30 cos(30 + 4r + 3 First we consider the homogeneous problem y"-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 = cin + c2y2 for arbitrary constants c1 0 (enter answers as a comma separated list) enter answers as a comma separated list). Using these we obtain the and c2 . of the non-homogeneous problem y" 30 cos (3r) + 4x + 3 using the method of Next we seek a particular solution y undetermined coefficients (See the link below for a help sheet) 4) Apply the method of undetermined coefficients to find yp We then find the general solution as a sum of the complementary solution ye ciy y=ye +y,"Finally you are asked to use the general solution to solve an MP. o2y2 and a particular solution: 5) Given the initial conditions y(0) =-6 and y(0) =-11 find the unique solution to the MP 26