Determine whether the given functions are linearly independent. and x4 e -3x e-3x Choose the correct answer below. O A. The functions are not linearly independent, that is they are linearly dependent, because the equation c₁ f₁ (x) + C₂f₂ (x) + ... + Ckfk (x) = 0 has only the trivial solution. B. The functions are not linearly independent, that is they are linearly dependent, because the second function is a multiple of the first function. OC. The functions are linearly independent because the equation c₁f₁(x) + C₂f₂ (x) + ... + Ck fk (x) = 0 has only the trivial solution. D. The functions are linearly independent because the equation c₁ f₁(x) + C₂f₂(x)+...+ Ckfk (x) = 0 has nontrivial solution(s).
Determine whether the given functions are linearly independent. and x4 e -3x e-3x Choose the correct answer below. O A. The functions are not linearly independent, that is they are linearly dependent, because the equation c₁ f₁ (x) + C₂f₂ (x) + ... + Ckfk (x) = 0 has only the trivial solution. B. The functions are not linearly independent, that is they are linearly dependent, because the second function is a multiple of the first function. OC. The functions are linearly independent because the equation c₁f₁(x) + C₂f₂ (x) + ... + Ck fk (x) = 0 has only the trivial solution. D. The functions are linearly independent because the equation c₁ f₁(x) + C₂f₂(x)+...+ Ckfk (x) = 0 has nontrivial solution(s).
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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