Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets. 1. y" -y + 5y = 0 2. y" + 5y + 5y = 0 |3. y" — 5y' + 5y = 0 4. y" y + 5y = 0, t>0 5. y" - In(t)y' + 5y = 0 A. W (t) = 7t B. W(t) = t² C. W (t) = 2e-5t D. W(t) = e5t E. W(t) = etln(t)-t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets.
1. y" y + 5y = 0
|2. y" + 5y
+ 5y = 0
3. y" - 5y
+ 5y = 0
4. y" y + 5y = 0, t>0
5. y" — In(t)y' + 5y = 0
A. W (t) = 7t
B. W(t) = t²
C. W(t) = 2e-5t
D. W(t) = est
E. W (t) = etln(t)-t
Transcribed Image Text:Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets. 1. y" y + 5y = 0 |2. y" + 5y + 5y = 0 3. y" - 5y + 5y = 0 4. y" y + 5y = 0, t>0 5. y" — In(t)y' + 5y = 0 A. W (t) = 7t B. W(t) = t² C. W(t) = 2e-5t D. W(t) = est E. W (t) = etln(t)-t
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