Let the differential equation be: y" – 6y' + 9y = e3, where the complementary function is: Yc = C1e3* + C2xe³*, find a particular solution from the following (using undetermined coefficients): Yp = 0.5x² e3x Yp = x²e -3x OYp = x² e3x OYp = 0.5x²e-3x

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A: Please see the below picture for detailed solution.

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