Solved: In 33– 36 use the concept that is a constant

Chapter 1, Problem 34E

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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.

\(y^{\prime}=y^{2}+2 y-3\)

Text Transcription:

(-infty<x<infty)

y^prime=0

y^prime = y^2 + 2y - 3

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.

\(y^{\prime}=y^{2}+2 y-3\)

Text Transcription:

(-infty<x<infty)

y^prime=0

y^prime = y^2 + 2y - 3

ANSWER:

Step 1 of 2

Given differential  equation is

Also given y = c is a constant function with

 

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