Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 29, g(x) = 5x, 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.) 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. DB. 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. OC. 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. O D. 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.
Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 29, g(x) = 5x, 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.) 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. DB. 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. OC. 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. O D. 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.
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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Transcribed Image Text:Use the Wronskian to determine if the given functions are linearly independent on the indicated interval.
f(x) = 29, g(x) = 5x, 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.)
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.
O 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 never 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 identically 0 on the real line f(x), g(x) and h(x) are linearly dependent.
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