Ready solution of the problem. The sorcerer of Arutyunov. Task number 342.

341-350. Find the particular solution of the differential equation y '' + py '+ qy = f (x) satisfying the initial conditions y (0) = y0, y' (0) = y'0

342. y '' - 6y '+ 9y = x2 - x + 3; Y (0) = 4/3, y '(0) = 1/27

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)