Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 13, g(x)=x, h(x) = 3x²; the real line ... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) OA. 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. . As W is never 0 on the real line f(x), g(x) and h(x) are linearly dependent. B. The Wronskian W(f, g, h) = OC. 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. OD. 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.

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) = 13, g(x)=x, h(x) = 3x²; the real line
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Simplify your answer.)
OA. 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.
OB. The Wronskian W(f, g, h) =
C. The Wronskian W(f, g, h) =
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.
As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent.
As W is never 0 on the real line f(x), g(x) and h(x) are linearly independent.
Transcribed Image Text:Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 13, g(x)=x, h(x) = 3x²; the real line Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) OA. 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. OB. The Wronskian W(f, g, h) = C. The Wronskian W(f, g, h) = 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. As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent. As W is never 0 on the real line f(x), g(x) and h(x) are linearly independent.
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