Solved: Suppose y1, y2, . . . , yk are k linearly independent solutions on ( , ) of a
Chapter 4, Problem 41(choose chapter or problem)
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 yk1 0 is also a solution of the differential equation. Is the set of solutions y1, y2, . . . , yk, yk1 linearly dependent or linearly independent on ( , )? Discuss. 4
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