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Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) = 31, g(x) = 3sinx, h(x) = 6cos?x Enter the non-trivial linear combin ation. (18)(31) + (O (3 sin²x) + (O (6 cos?x) =0

Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) = 31, g(x) = 3sinx, h(x) = 6cos?x Enter the non-trivial linear combin ation. (18)(31) + (O (3 sin²x) + (O (6 cos?x) =0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) = 31, g(x) = 3sin?x, h(x) = 6cosx Enter the non-trivial linear combin ation. 2 (18)(31) + (O (3 sin x) + (D (6 cos ?x) = 0
Transcribed Image Text:Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) = 31, g(x) = 3sin?x, h(x) = 6cosx Enter the non-trivial linear combin ation. 2 (18)(31) + (O (3 sin x) + (D (6 cos ?x) = 0
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