Question: Suppose that y 1 , y 2 , . . . , y k are k nontrivial solutions of a homogeneous linear nth-order differential equation

Suppose that y₁, y₂, . . . , y_k 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, . . . , y_k linearly dependent or linearly independent on (‑∞, ∞)? Discuss.

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