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Solved: In 11–18, find at least the first four nonzero
Chapter 8, Problem 15E(choose chapter or problem)
In Problems 11–18, find at least the first four nonzero terms in a power series expansion about \(x=0\) for a general solution to the given differential equation.
\(y^{\prime \prime}+(x-1) y^{\prime}+y=0\)
Equation Transcription:
Text Transcription:
x=0
y''+(x-1)y'+y=0
Questions & Answers
QUESTION:
In Problems 11–18, find at least the first four nonzero terms in a power series expansion about \(x=0\) for a general solution to the given differential equation.
\(y^{\prime \prime}+(x-1) y^{\prime}+y=0\)
Equation Transcription:
Text Transcription:
x=0
y''+(x-1)y'+y=0
ANSWER:
Step 1 of 4
Consider the following differential equation:
The objective is to find at least four nonzero terms in a power series expansion about 
Compare the differential equation 
Here, 
Now, express its general solution of the form
Let 
Find the 
Now,
