2. Solve these recurrence relations together with the initial conditions given. (a) an = an-1 + 6an-2 for n > 2, ao = 3, a1 = 6 (b) a, = 7an-1 – 10a,-2 for n > 2, ao = 2, a1 = 1 (c) an = 6an-1 – 8an-2 for n > 2, ao = 4, a1 = 10
2. Solve these recurrence relations together with the initial conditions given. (a) an = an-1 + 6an-2 for n > 2, ao = 3, a1 = 6 (b) a, = 7an-1 – 10a,-2 for n > 2, ao = 2, a1 = 1 (c) an = 6an-1 – 8an-2 for n > 2, ao = 4, a1 = 10
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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Transcribed Image Text:2. Solve these recurrence relations together with the initial conditions given.
(а) ап 3 ап-1 + 6а,-2 for n 22, ао 3D 3, ај %3D 6
(b) а, — 7ал-1 — 10а, -2 for n > 2, ag 3D 2, ај 3 1
бал-1 — 8ап-2 for n > 2, ao %3 4, ај %—D 10
(c) an =
аn-2 for n > 2, ао — 4, ај —D 1
(е) а, — а,-2 for n > 2, ag 3D 5, ај %3D -1
(f) а, — — 6ал -1 - 9ат-2 for n 22, ao %3D 3, ај 3D -3
(8) а,+2 3— 4a, +1 + 5а, for n 20, ag 3D 2, а, 3 8.
(d) an =
2an-1 °
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