Given the second-order difference equation. Yt+2-5Y₁+1 +6Y₁ = 2(5¹) + t (1) Write down the auxiliary equation: 2²² + M₁ = r+ (2) The roots of the auxiliary equation are and r₂ = OAr₁¹+ Br₂¹ OAr* + Btr¹ OAtr* + Btr¹ OAr+ Br OAr₁¹ + Btr₂¹ OAtr₁¹+ Btr₂² = 0 (3) The homogenous solution is of the form: Yh= (4) The particular solution is [use two decimal places where necessary] Yp = (55) + t +
Given the second-order difference equation. Yt+2-5Y₁+1 +6Y₁ = 2(5¹) + t (1) Write down the auxiliary equation: 2²² + M₁ = r+ (2) The roots of the auxiliary equation are and r₂ = OAr₁¹+ Br₂¹ OAr* + Btr¹ OAtr* + Btr¹ OAr+ Br OAr₁¹ + Btr₂¹ OAtr₁¹+ Btr₂² = 0 (3) The homogenous solution is of the form: Yh= (4) The particular solution is [use two decimal places where necessary] Yp = (55) + t +
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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