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2. (LI-1) Compute the Wronskian for each set of functions below and determine whethe the set is linearly independent or linearly dependent. If the set is linearly dependent find constant coefficients for the functions which would make them add up to 0. (a) y₁(x) = x, y₂(x) = x + 10, ys(x) = 2x

2. (LI-1) Compute the Wronskian for each set of functions below and determine whethe the set is linearly independent or linearly dependent. If the set is linearly dependent find constant coefficients for the functions which would make them add up to 0. (a) y₁(x) = x, y₂(x) = x + 10, ys(x) = 2x

Advanced Engineering Mathematics
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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### Problem 2. (LI-1) Compute the Wronskian for each set of functions below and determine whether the set is linearly independent or linearly dependent. If the set is linearly dependent, find constant coefficients for the functions which would make them add up to 0. **(a)** \( y_1(x) = x, \quad y_2(x) = x + 10, \quad y_3(x) = 2 - x \) **(b)** \( y_1(x) = x, \quad y_2(x) = x^2 + 4, \quad y_3(x) = x - x^2 \)
Transcribed Image Text:### Problem 2. (LI-1) Compute the Wronskian for each set of functions below and determine whether the set is linearly independent or linearly dependent. If the set is linearly dependent, find constant coefficients for the functions which would make them add up to 0. **(a)** \( y_1(x) = x, \quad y_2(x) = x + 10, \quad y_3(x) = 2 - x \) **(b)** \( y_1(x) = x, \quad y_2(x) = x^2 + 4, \quad y_3(x) = x - x^2 \)
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