Suppose that y 1 , y 2 , . . . , y k are k nontrivial

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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 (‑∞, ∞)? Discuss.


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