Question: please solve and box final answer 2. Consider a non-homogeneous differential equation y $) + 2y + 3y' = x2e- + xcos 2.x on

please solve and box final answer

2. Consider a non-homogeneous differential equation y $) + 2y" + 3y' = x2e- + xcos \\ 2.x on ( - 00, 00). (a) (10 points) Find the linear operator to annihilate g(x) = x e- + xcos \\ 2x. (b) (15 pointss) Set up a reasonable particular solution form using (a)

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