Answer: In 1–18 solve the given differential equation.

Chapter 4, Problem 3E

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QUESTION:

In Problems 1–18 solve the given differential equation.

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

Text Transcription:

x y^prime prime+y^prime=0

Questions & Answers

QUESTION:

In Problems 1–18 solve the given differential equation.

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

Text Transcription:

x y^prime prime+y^prime=0

ANSWER:

Step 1 of 3

The starting differential equation can be written in the following form:

Multiply both sides by  

Assume that the solution is some power of , ie .

Calculate

 

and

 

Substitute the values  

and

 in the starting equation:

(Pull out

 

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