Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets. 1. y" + 6y' + 2y = 0 2. y" – 2ty' + 2y = 0 - ty' + 2y = 0, t > 0 - 4. y" – cos(t)y' + 2y = 0 - 5. y" – y' + 2y = 0 - %3D А. W(t) — 3еxp(?) B. W (t) = 7t C. W (t) = esin(t) D. W (t) = 2e-6t E. W (t) = t2
Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets. 1. y" + 6y' + 2y = 0 2. y" – 2ty' + 2y = 0 - ty' + 2y = 0, t > 0 - 4. y" – cos(t)y' + 2y = 0 - 5. y" – y' + 2y = 0 - %3D А. W(t) — 3еxp(?) B. W (t) = 7t C. W (t) = esin(t) D. W (t) = 2e-6t E. W (t) = t2
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:Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets.
1. y" + 6y' + 2y = 0
2. y" – 2ty' + 2y = 0
-
ty' + 2y = 0, t>0
4. y" – cos(t)y' + 2y = 0
5. y" – y' + 2y = 0
A. W (t) = 3 exp(t²)
B. W (t) = 7t
C. W (t) = esin(t)
D. W (t) = 2e-6t
E. W (t) = t2
%3D
%3D
%3D
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