21. Let's work backwards. The quadratic (r−3)(r+2)=r² −r−6 has roots r₁ = 3 and r₁ = −2. Give therecurrence relation giving an.(a) an = 3an-12an-2(b) an = -2an-1 +3an-2(c) an = an−1+6ªn−2(d) an = −an-1 — бªn-2(e) None of these

Recall the characteristic equation corresponding to the recurrence relation

Answered: 21. Let's work backwards. The quadratic…

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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21. Let's work backwards. The quadratic (r-3) (r+2)=r²-r-6 h recurrence relation giving an. (a) an = 3an-1-2an-2 (b) an-2an-1 +3an-2 (c) anan-1 +6an-2 (d) an-an-1-6an-2 (e) None of these