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nontrivial solutions

Posted on June 25, 2016 by admin

Suppose that y1, y2, . . . , yk are k nontrivial solutions of a homogeneous linear nth-order differential equation with constant coefficients and that k = n + 1. Is the set of solutions y1, y2, . . . , yk linearly dependent or linearly independent on (–8, 8)? Discuss.

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