4. For the DE 2xy"+(1+x)y'+ y = 0, the series solution about the singular point x=0 has two indicial roots. Without solving the DE, use the formula for the indicial equation to find the indicial roots and use these roots to give the format of the general solution to the DE.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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4. For the DE 2xy"+(1+x)y'+ y = 0, the series solution about the singular point
x=0 has two indicial roots. Without solving the DE, use the formula for the indicial
equation to find the indicial roots and use these roots to give the format of the general
solution to the DE.
Transcribed Image Text:4. For the DE 2xy"+(1+x)y'+ y = 0, the series solution about the singular point x=0 has two indicial roots. Without solving the DE, use the formula for the indicial equation to find the indicial roots and use these roots to give the format of the general solution to the DE.
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