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Problem 1. For the following systems, identify all the equilibrium points. Use stability definitions to determine whether each equilibrium point is Lyapunov stable (i.e. stable in the sense of Lyapunov), asymptotically stable, globally asymptotically stable, or not stable in any of the previous senses. The first two systems are in R2 and the last one is in R. (a) = 0 12 = -12 (b) --12 22 - 0 (c) =0 if > 1 - il s1 Carefully justify your answers, using only the definitions of stability. (Do not use eigenvalue methods or Lynpunov's method.)