In 3–6, find the critical point set for the given system.

Chapter 5, Problem 3E

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QUESTION:

In Problems 3-6, find the critical point set for the given system.

                        \(\frac{d x}{d t}=x-y\)
                 
\(\frac{d y}{d t}=x^{2}+y^{2}-1\)

Equation transcription:

Text transcription:

\frac{d x}{d t}=x-y

\frac{d y}{d t}=x^{2}+y^{2}-1

Questions & Answers

QUESTION:

In Problems 3-6, find the critical point set for the given system.

                        \(\frac{d x}{d t}=x-y\)
                 
\(\frac{d y}{d t}=x^{2}+y^{2}-1\)

Equation transcription:

Text transcription:

\frac{d x}{d t}=x-y

\frac{d y}{d t}=x^{2}+y^{2}-1

ANSWER:

Solution:

Step 1

In this problem we have to find the critical point set for the given system.

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