Classify the critical points of the plane autonomous system corresponding to the second order nonlinear differential equation * + x = «x°, where a is a positive real constant, .
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- linearise R = AT + BT2Given the function g of the two real variables t and u by g(t,u)=t^2 + tu-u^2+(6+2)u c) Determine by hand calculation the linearization of the function g in the development point (12-6 , -1-6).Determine whether the functions y1 and y2 are linearly dependent on the interval (0,1)