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: Suppose you are given the differential equation a y^{\prime \prime}+b y^{\prime}+c y=g(x) where a, b, and c are constants. For each of the following choices of g(x), write down
the form for the particular solution yp that you would use: (a) g(x) = x5 (b) g(x) = x²e³z \text { (c) } g(x)=x^{3} \cos (x) \text { (d) } g(x)=\cos (x)+\cos (2 x)+\cos (3 x)
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