# Determine the type and stability of the critical point. Then find a real general solution and sketch or graph some of the trajectories in the phase plane. Show the details of your work. y' 1 = y 1 + 2y 2 y' 2 = 2y 1 + y 2

Chapter 4, P R O B L E M S E T 4 . 4 #7

Determine the type and stability of the critical point. Then find a real general solution and sketch or graph some of the trajectories in the phase plane. Show the details of your work.

y'_{1} = y_{1} + 2y_{2}

y'_{2} = 2y_{1} + y_{2}

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