Are the functions f, g, and h given below linearly independent? f(æ) = x, g(x) = x°, h(x) = x³. If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (x) + (2º) + (x) = 0. help (numbers)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Are the functions f, 9, and h given below linearly independent?
f(æ) = x, g(x) = x°, h(x) = x³.
f they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial
solution to the equation below. Be sure you can justify your answer.
(x)+
(2º) +
(x*) = 0. help (numbers)
Transcribed Image Text:Are the functions f, 9, and h given below linearly independent? f(æ) = x, g(x) = x°, h(x) = x³. f they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (x)+ (2º) + (x*) = 0. help (numbers)
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