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A set of n functions f₁(x), ƒ₂(x), ..., ƒ„(x) is . of the remaining functions. O linearly dependent O linearly independent on an interval / if at least one of the functions can be expressed as

A set of n functions f₁(x), ƒ₂(x), ..., ƒ„(x) is . of the remaining functions. O linearly dependent O linearly independent on an interval / if at least one of the functions can be expressed as

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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QUESTION 3 A set of n functions f₁(x), ƒ₂(x), ..., f (x) is of the remaining functions. O linearly dependent O linearly independent on an interval / if at least one of the functions can be expressed as linear combination
Transcribed Image Text:QUESTION 3 A set of n functions f₁(x), ƒ₂(x), ..., f (x) is of the remaining functions. O linearly dependent O linearly independent on an interval / if at least one of the functions can be expressed as linear combination
QUESTION 2 The functions y 1 ) y =cy2 O The Wonskian of y, and y, are not equal to zero. 1 2 y r3 4 and y=x" are solutions of x²y" - 6xy' +12y=0 on the interval (0, ∞ ). Which of the following is not true? The linear combination of y, and y, is also a solution that is y=c 1 2 1 and y are linearly independent 2 y = C₁₂₁₁ + C₁₂V ₂
Transcribed Image Text:QUESTION 2 The functions y 1 ) y =cy2 O The Wonskian of y, and y, are not equal to zero. 1 2 y r3 4 and y=x" are solutions of x²y" - 6xy' +12y=0 on the interval (0, ∞ ). Which of the following is not true? The linear combination of y, and y, is also a solution that is y=c 1 2 1 and y are linearly independent 2 y = C₁₂₁₁ + C₁₂V ₂
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