Consider the system of differential equations (a) Show that is a solution of (*) for any
Chapter 4, Problem 14(choose chapter or problem)
Consider the system of differential equations (a) Show that is a solution of (*) for any choice of constants c and d. (b) Assume that a solution x(t) of (*) is uniquely determined once x,(O) and x2(0) are prescribed. Prove that (a) represents the general solution of (*). (c) Show that the solution x=O of (*) is stable, but not asymptotically stable. (d) Show that every solution x(t)$O of (*) is unstable.
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