Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 29, g(x) = 4x, h(x) = 2x²; the real line Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. The Wronskian W(f, g, h) = B. The Wronskian W(f, g, h) = OC. 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 independ As W is identically 0 on the real line f(x), g(x) and h(x) are linearly indep As W is identically 0 on the real line f(x), g(x) and h(x) are linearly depe As W is never 0 on the real line f(x), g(x) and h(x) are linearly depender

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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) = 29, g(x) = 4x, h(x) = 2x²; the real line
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Simplify your answer.)
A. The Wronskian W(f, g, h) =
B. The Wronskian W(f, g, h) =
OC. The Wronskian W(f, g, h) =|
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.
As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent.
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.
Transcribed Image Text:Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 29, g(x) = 4x, h(x) = 2x²; the real line Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) A. The Wronskian W(f, g, h) = B. The Wronskian W(f, g, h) = OC. The Wronskian W(f, g, h) =| 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. As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent. 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.
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