Find critical points for the Following nonlinear system, Then, find the linear approximation of this system at the critical point (0,0). Then, determine the type of CP for both the nonlinear system and its linear approximation. Make sure to transform the nonlinear system to polar coordinates.

 

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一9- x ( x+y"), y= メ-ツ (x²+y?). 一9- x ( x+y"), y= メ-ツ (x²+y?).