# Find the location and kind of all critical points of the given nonlinear system by linearization. y' 1 = y 2 y' 2 = y 1 - y 1 3

Chapter 4, Review question #27

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

y'_{1} = y_{2}

y'_{2} = y_{1} - y_{1}^{3}

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