2.2. Let yk satisfy the difference equation yk+1 Pkyk = 0 where pk > 0. Show that if we write yk = e², then zk is the general solution to the difference equation 2k+12k = ln pk.
2.2. Let yk satisfy the difference equation yk+1 Pkyk = 0 where pk > 0. Show that if we write yk = e², then zk is the general solution to the difference equation 2k+12k = ln pk.
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:2.2. Let yk satisfy the difference equation Yk+1 - Pkyk = 0 where pk > 0.
Show that if we write yk = ek, then zk is the general solution to the
difference equation 2k+12k = ln pk.
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