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Solve each of the following equations subject to the specified initial con- ditions, and sketch the solution: (a) Xk-1.2Xk-1 +0.2Xk-2 = 0, Xo = 1, X₁ = 2 (b) Xk-1.2Xk-1 +0.4Xk-2 = 0, Xo = 1, X₁ = -1 (c) Xk+1Xk+0.25Xk-1 = 0, Xo = 1, X₁ = 3 (d) Xk+2 +1.6Xk+1+0.64Xk = 0, Xo = 1, X₁ = 1

Solve each of the following equations subject to the specified initial con- ditions, and sketch the solution: (a) Xk-1.2Xk-1 +0.2Xk-2 = 0, Xo = 1, X₁ = 2 (b) Xk-1.2Xk-1 +0.4Xk-2 = 0, Xo = 1, X₁ = -1 (c) Xk+1Xk+0.25Xk-1 = 0, Xo = 1, X₁ = 3 (d) Xk+2 +1.6Xk+1+0.64Xk = 0, Xo = 1, X₁ = 1

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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Solve each of the following equations subject to the specified initial con- ditions, and sketch the solution: (a) Xk-1.2Xk-1 +0.2Xk-2 = 0, Xo = 1, X₁ = 2 (b) Xk-1.2Xk-1 +0.4Xk-2 = 0, Xo = 1, X₁ = -1 (c) Xk+1Xk+0.25Xk-1=0, Xo = 1, X₁ = 3 (d) Xk+2+1.6Xk+1+0.64Xk = 0, Xo = 1, X₁ = 1
Transcribed Image Text:Solve each of the following equations subject to the specified initial con- ditions, and sketch the solution: (a) Xk-1.2Xk-1 +0.2Xk-2 = 0, Xo = 1, X₁ = 2 (b) Xk-1.2Xk-1 +0.4Xk-2 = 0, Xo = 1, X₁ = -1 (c) Xk+1Xk+0.25Xk-1=0, Xo = 1, X₁ = 3 (d) Xk+2+1.6Xk+1+0.64Xk = 0, Xo = 1, X₁ = 1
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