an = 2an-1 + an-2 + 2an-3, ao = 3, a₁ = 7 ve a₂ = 15
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:an = 2an-1 + an-2 + 2an-3,
Solve with the characteristic root technique.
(h)
1₁ 1₂ 13 => an
1₁ = 12 = 13 =>
1₁ = 1₂ #13
ao = 3, a₁ = 7 ve a₂
an
=
= C₁ (1₁)² + C₂ (r₂)” + C3 (13)”
(h)
= C₁ (¹₁)" + C₂ (1₂)^n + C3 (¹3)¹n²
15
(h)
an = C₁ (₁)" + C₂ (r₂)"n + C3 (13)"
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