# Find the location and kind of all critical points of the given nonlinear system by linearization. y' 1 = 2y 2 + 2y 2 2 y' 2 = -8y 1

Chapter 4, Review question #30

Find the location and kind of all critical points of the given nonlinear system by linearization.

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

y'_{2} = -8y_{1}

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