Suppose y1, y2, . . . , yk are k linearly independent solutions on of a homogeneous linear nth-order differential equation with constant coefficients. By Theorem 4.1.2 it follows that yk+1 = 0 is also a solution of the differential equation. Is the set of solutions y1, y2, . . . , yk, yk+1 linearly dependent or linearly independent on Discuss.
Reference : theorem 4.1.2
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