Question: Please give the complete solution. Do not copy and paste. Thank you so much! Problem 3: Solve the following recurrence equation: P1-1 +5P-2 +3P..-3 +

Please give the complete solution. Do not copy and paste. Thank you so much!
Problem 3: Solve the following recurrence equation: P1-1 +5P-2 +3P..-3 + 16 - 3 0 P, P P2 4 22 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, using the initial conditions to compute the final solution.)
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