Show that if the vector differential equation x = Ax has a solution of the form x(t) =

Chapter 9, Problem 17

(choose chapter or problem)

Show that if the vector differential equation x = Ax has a solution of the form x(t) = et v2 + tv1 + t2 2! v2 , then (A I)v0 = 0, (A I)v1 = v0, and (A I)v2 = v1.

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