Calculate and simplify the Wronskian of the following two functions: y₁ (t) = 3t+3, y2(t) = t² + 1 Based on the value of the Wronskian, are y₁ and y2 linearly dependent or linearly independent?
Calculate and simplify the Wronskian of the following two functions: y₁ (t) = 3t+3, y2(t) = t² + 1 Based on the value of the Wronskian, are y₁ and y2 linearly dependent or linearly independent?
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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The Wronskian of two functions y1(t) and y2(t) is defined as:
W(y1, y2)(t) =
where y1'(t) and y2'(t) are the first derivatives of y1(t) and y2(t) with respect to t.
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