Question: Please help with the following question (multiple part) (15 points) Consider the nonhomogeneous equation y + 2y' + 2y = 20 sin (2x). (a) Find

Please help with the following question (multiple part)

(15 points) Consider the nonhomogeneous equation y" + 2y' + 2y = 20 sin (2x). (a) Find the auxiliary equation and its roots. (b) Find a fundamental set {y1, yz} of y" + 2y' + 2y = 0. (c) To apply the method of undetermined coefficients, what is the form of the particular solution yp? Then find yp. (d) Find the general solution as a sum of the complimentary solution and the par- ticular solution

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