(I'm not sure where you got the 2 before the second x).
Anyway, this equation has roots , each with multiplicity 2. So, your general function is where is the solution to the non-homogeneous portion of the relation. According to WolframAlpha, .
What is the form of the particular
solution of the linear non-homogeneous
recurrence relation
an= 8[an–2]– 16[an–4] + F(n)
F(n)=2
*** thE stuff IN THE [] SQUARE BRACKETS SHOULD BE SUB SCRIPTED]
The characteristic equation factorised is (x+ 2)^2(2x– 2)^2
(I'm not sure where you got the 2 before the second x).
Anyway, this equation has roots , each with multiplicity 2. So, your general function is where is the solution to the non-homogeneous portion of the relation. According to WolframAlpha, .