# 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 = -2y 1 + 2y 2 y' 2 = -2y 1 – 2y 2

Chapter 4, P R O B L E M S E T 4 . 4 #5

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} = -2y_{1} + 2y_{2}

y'_{2} = -2y_{1} – 2y_{2}

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P R O B L E M S E T 4 . 3:

- PROBLEMSET4.3-1
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P R O B L E M S E T 4 . 4:

P R O B L E M S E T 4 . 5:

PROBLEM SET 4.6: