# Find the location and type of all critical points by linearization. Show the details of your work. y' 1 = y 2 y 2 ' = -y 1 + 1/2y 2 1

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

Find the location and type of all critical points by linearization. Show the details of your work.

y'_{1} = y_{2}

y_{2}' = -y_{1} + 1/2y^{2}_{1}

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