What is the general form of the particular solution guaranteed to exist by Theorem 6 of the linear nonhomogeneousrecurrence relation an= 6an-1-12an -2 +8an-3 + F(n) ifF(n) = n2?Multiple Choice(+)o n²(pin+pol2nO n²(pan+po)o ²³ (+poln

The particular solution guaranteed to exist by Theorem 6 of the linear nonhomogeneous recurrence…

Answered: What is the general form of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the solution to each of these recurrence relations and initial conditions. (а) а, 3 Зап- 1, 0g — 2 (b) аn — Зап-1+1,a0 3D 1
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Consider the following linear non-homogeneous recurrence relation where go = 1, g1 = 3 and gn†1=-9n + 6gn-1 - 3 for n > 1. The reduced closed form of gn can be represented as gn = (Px p" + Q x q" + C') where p and q are the solutions of the characteristic equation of the recurrence. Given that, p is smaller than q. Here, P,Q,C, A are all integers. What is the value of p? What is the value of P?? What is the value of C? What is the value of A?
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nan (a – 3)n-1 + x Σ an (x - 3)" = 0, - n=0 then the recurrence relation can be written as (n + 1)an+1 – an−1 + 3an = 0, (n + 1)an+1 + an−1 + an=0, – (n+1)an+1 + an−1 + 3an = 0, η>1 (n + 2)an+2 + an−1 + an = 0, (n + 2)an+2 + an−1 + an = 0, - Q6. 11 Σ n=1 = (a) αι = =do, (b) αι = 3a0 , (c) a1 = - –3ao, (d) a1 = do , (e) a1 = =do , n21 n>1 η21 η>1
What is the general form of the particular solution guaranteed to exist by Theorem 6 of the linear nonhomogeneous recurrence relation an= 6an-1-12an -2 +8an – 3 + F(n) if F(n) = n²? Multiple Choice O O O P2n³+ p₁n² + pon (p2n³ + p₁n² + Pon)2n (p2n² + p₁n+po)2n p2n² + pin + po
What is the form of the particular solution of the linear non-homogeneous recurrence relation. [hint: the characteristic equation factorised is (x+5)²(x+1)²] an = -12an-1-36an-2 - 60an-3-25an-4+ (3n³ + 1) (-5)" - 1 −
Solve the recurrence relation (find the closed form) defined by T(1) = 1 T(2) = 14 T(n) = 3T(n-1) + 4T(n-2), n ≥ 3

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What is the general form of the particular solution guaranteed to exist by Theorem 6 of the linear nonhomogeneous recurrence relation an=6an-1-12an − 2 +8an −3+ F(n) if R(n) = n2n?