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Question

2. Prove that r(t) = ero is the unique solution to

Jx' = Ax

|x(0) = To

Hint. Since we have an explicit formula at our disposal, one can prove that any solution must be

equal to exo, since this is equivalent to the uniqueness of exo. To set this up, let z(t) be any

solution, and then apply the derivative argument from class to e-tr(t) to conclude.

е

Fig: 1