In 33– 36 use the concept that is a constant function if

Chapter 1, Problem 33E

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QUESTION:

In Problems 33–36 use the concept that y = c, \(-\infty<x<\infty\), is a constant function if and only if \(y^{\prime}=0\) to determine whether the given differential equation possesses constant solutions.

\(3 x y^{\prime}+5 y=10\)

Text Transcription:

(-infty<x<infty)

y^prime=0

3xy^prime+5y=10

Questions & Answers

QUESTION:

In Problems 33–36 use the concept that y = c, \(-\infty<x<\infty\), is a constant function if and only if \(y^{\prime}=0\) to determine whether the given differential equation possesses constant solutions.

\(3 x y^{\prime}+5 y=10\)

Text Transcription:

(-infty<x<infty)

y^prime=0

3xy^prime+5y=10

ANSWER:

Step 1 of 2

Given that

We have to determine whether the given differential equation possesses constant solutions.

 

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