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an = 2an-1 + an-2 + 2an-3, Solve with the characteristic root technique. (h) 1₁ 1₂ 13 => an 1₁ = 72 = 13 => 1₁ = 1₂ #13 ao = 3, a₁ = 7 ve a₂ an = 15 = C₁ (1₁)¹² + C₂ (r2)” + C3 (13)” (h) = C₁ (¹₁)" + C₂ (1₂)^n + C3 (¹3)¹n² (h) an = C₁ (₁)" + C₂ (r₂)"n + C3 (13)"

an = 2an-1 + an-2 + 2an-3, Solve with the characteristic root technique. (h) 1₁ 1₂ 13 => an 1₁ = 72 = 13 => 1₁ = 1₂ #13 ao = 3, a₁ = 7 ve a₂ an = 15 = C₁ (1₁)¹² + C₂ (r2)” + C3 (13)” (h) = C₁ (¹₁)" + C₂ (1₂)^n + C3 (¹3)¹n² (h) an = C₁ (₁)" + C₂ (r₂)"n + C3 (13)"

Advanced Engineering Mathematics
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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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)"
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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