Derive the general solution form for the following recurrence equation:  t(base n) = 4t(base n-1) + 3t(base n-2) - 18t(base n-3) + 3^(n) Show your work (all steps: the associated homogeneous equation, the characteristic polynomial and its roots, the general solution of the homogeneous equation, computing a particular solution, the general solution of the non - homogeneous equation)

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