Show that the characteristic equation for the recurrence relation where a is a non-zero constant, has two
Question:
Show that the characteristic equation for the recurrence relation
where a is a non-zero constant, has two equal roots λ = a.
(a) Verify (by substituting into the relation) that xn = (A + Bn)an is a solution for all constants A and B.
(b) Find the particular solution which satisfies x0 = 1, x1 = 0. (Your answer will involve a, of course.)
(c) Find the particular solution for which x0 = 3, x10 = 20.
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