3. Consider the system of first order ODEs (in matrix form) 5 x': = -(₁3)× (a) Show that (*)-(1) * *-( :-)"} x(²) (t) = = = 7 t- is a set of fundament al solutions of the system, for all real numbers t. (b) What type of equilibrium solution does this system have? Is the equilibrium solution asymptotically stable, neutrally stable or unstable? I (c) Determine the fundamental matrix (t) which satisfies Þ(0) = -(1) 01

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