Show that general solution of the second-order difference equation: ya+2 - Gyk+1 + 8yk = 2+ 3.k – 5.3* is ya %3D c;2* +cz4* + + k + k² + 5.3* where c,, ©z are arbitrary constant.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 12E
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(b) Show that general solution of the second-order difference equation: yk+2 – Gyk+1 + 8yk = 2+ 3.k² – 5.3* is yr
c12* + c24* + + k + k* + 5.3* where C1, ©2 are arbitrary constant.
Transcribed Image Text:(b) Show that general solution of the second-order difference equation: yk+2 – Gyk+1 + 8yk = 2+ 3.k² – 5.3* is yr c12* + c24* + + k + k* + 5.3* where C1, ©2 are arbitrary constant.
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