Answer: In as in Example 4 and find a power series

Chapter 6, Problem 38E

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QUESTION:

In Problems 35–38 proceed as in Example 4 and find a power series solution \(y=\sum_{n=0}^{\infty} c_{n} x^{n}\) of the given linear first order differential equation.

\((1+x) y^{\prime}+y=0\)

Text Transcription:

y=sum_n=0^inftyc_nx^n

(1+x)y^prime+y=0

Questions & Answers

QUESTION:

In Problems 35–38 proceed as in Example 4 and find a power series solution \(y=\sum_{n=0}^{\infty} c_{n} x^{n}\) of the given linear first order differential equation.

\((1+x) y^{\prime}+y=0\)

Text Transcription:

y=sum_n=0^inftyc_nx^n

(1+x)y^prime+y=0

ANSWER:

Step 1 of 3

In this problem we have to determine the power series solution for the given linear first order differential equation

Given differential equation

 

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