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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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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.
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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