HWOB: Problem 3 (1 point) We consider the nonhomogeneous problem '9'" + 23} + 21; = QDsin(23:) Firstwe considerthe homogeneous problem 1;\" + 234' + 211 = I]: 1) the auxiliary equation is or2 + bi" + c = = 0. 2) The roots of the auxiliary equation are (enter answers as a comma separated list). 3) A fundamental set of solutions is {enter answers as a comma separated list). Using these we obtain the the complementary solution ya 2 can + 623,03 for arbitrary constants c1 and 02. Next we seek a particular solution 1;? of the nonhomogeneous problem 9'\" + 21," l 21; = 20311123) using the method of undetermined coetcients [See the link below for a help sheet) 4) Apply the method of undetermined coefcients to nd yp = We then nd the general solution as a sum of the complementary solution y: = clyl + 021:2 and a particular solution: 1: = yc + 35,. Finally you are asked to use the general solution to solve an NP. 5) Given the initialconditions gm) = 3 and 9'01) = 7 nd the unique solution to the IVP y