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A particular solution of the differential equation y - 12y' + 35y = ex cos x has the following form (where A, B are constants

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A particular solution of the differential equation y" - 12y' + 35y = ex cos x has the following form (where A, B are constants to be determined): (A) e(Ax cos x + Bx sin x) (B) Aexcosx (C) e (A cosx + Bsinx) (D) (Ax + b)e *(cos x + sin x) (E) Aes* cos x (F) none of these

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