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In each of the following problems, find the Wronskian W (y1, y2) (x) of the given list of functions and conclude if the functions are linearly independent or not. (a) y₁ (t) = e-2t, y2(t) = te-2t (b) y₁ (t)=t, y2(t) = tet

In each of the following problems, find the Wronskian W (y1, y2) (x) of the given list of functions and conclude if the functions are linearly independent or not. (a) y₁ (t) = e-2t, y2(t) = te-2t (b) y₁ (t)=t, y2(t) = tet

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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In each of the following problems, find the Wronskian W (y1, 92) (x) of the given list of functions and conclude if the functions are linearly independent or not. (a) y₁ (t) = e-2t, y2(t) = te-2t (b) y₁(t)=t, y2(t) = tet (c) y₁ (t) = cos² t, y2(t) = 1 + cos2t ↑ 11
Transcribed Image Text:In each of the following problems, find the Wronskian W (y1, 92) (x) of the given list of functions and conclude if the functions are linearly independent or not. (a) y₁ (t) = e-2t, y2(t) = te-2t (b) y₁(t)=t, y2(t) = tet (c) y₁ (t) = cos² t, y2(t) = 1 + cos2t ↑ 11
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