(2) Write your solution y in the following form: Y = C₁Y₁ + C₂Y2 + Y, where c₁ and c₂ are free parameters and Y is a particular solution. Note that y₁, 92 and Y will be written as power series. Find the first two terms in each of them.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 54E
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Find a series solution centered at x0 = 0 for the following equation:
y′′ − 2xy = 1

(2) Write your solution y in the following form:
Y = C₁Y₁ + C₂Y2 + Y,
where c₁ and c₂ are free parameters and Y is a particular solution. Note that y₁, 92
and Y will be written as power series. Find the first two terms in each of them.
Transcribed Image Text:(2) Write your solution y in the following form: Y = C₁Y₁ + C₂Y2 + Y, where c₁ and c₂ are free parameters and Y is a particular solution. Note that y₁, 92 and Y will be written as power series. Find the first two terms in each of them.
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