Let x(1) (t) = _et tet _, x(2) (t) = _1t _ . Show that x(1) (t) and x(2) (t) are

Chapter 7, Problem 13

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Let x(1) (t) = _et tet _, x(2) (t) = _1t _ . Show that x(1) (t) and x(2) (t) are linearly dependent at each point in the interval 0 t 1. Nevertheless, show that x(1) (t) and x(2) (t) are linearly independent on 0 t 1. 1

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