Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 23, g(x) = 6x, h(x) = 4x“; the real line Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) O A. The Wronskian W(f, g, h) = As W is never 0 on the real line f(x), g(x) and h(x) are linearly independent. B. The Wronskian W(f, g, h) = As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent. O C. The Wronskian W(f, g, h) = As W is identically 0 on the real line f(x), g(x) and h(x) are linearly dependent. D. The Wronskian W(f, g, h) = As W is never 0 on the real line f(x), g(x) and h(x) are linearly dependent.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the Wronskian to determine if the given functions are linearly independent on the indicated interval.
f(x) = 23, g(x) = 6x, h(x) = 4x; the real line
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Simplify your answer.)
O A. The Wronskian W(f, g, h) =
As W is never 0 on the real line f(x), g(x) and h(x) are linearly independent.
B. The Wronskian W(f, g, h) =
As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent.
C. The Wronskian W(f, g, h) =
As W is identically 0 on the real line f(x), g(x) and h(x) are linearly dependent.
O D. The Wronskian W(f, g, h) =
. As W is never 0 on the real line f(x), g(x) and h(x) are linearly dependent.
Transcribed Image Text:Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 23, g(x) = 6x, h(x) = 4x; the real line Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) O A. The Wronskian W(f, g, h) = As W is never 0 on the real line f(x), g(x) and h(x) are linearly independent. B. The Wronskian W(f, g, h) = As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent. C. The Wronskian W(f, g, h) = As W is identically 0 on the real line f(x), g(x) and h(x) are linearly dependent. O D. The Wronskian W(f, g, h) = . As W is never 0 on the real line f(x), g(x) and h(x) are linearly dependent.
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