Solved: Find a general solution. Determine the kind and stability of the critical point

Chapter 4, Problem 4.1.114

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Find a general solution. Determine the kind and stability of the critical point. (Show the details of your work.)

\(y_{1}^{\prime}=3 y_{1}+5 y_{2}\)

\(y_{2}^{\prime}=-5 y_{1}-3 y_{2}\)

Text Transcription:

y_1’ = 3y_1 + 5y_2

y_2’ = -5y_1 - 3y_2

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