Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets. 1. y" + ⁄y' — 1y = 0 2. y" + 5y' — 1y = 0 - 3. y" + y − 1y = 0 4. y" - 5. y" — 22/0 A. W(t) = t² y - 1y = 0, t>0 y' — 1y = 0 B. W(t) = 7t c. W(t) = ²/ D. W(t) = 2e-5t E. W(t) = 5/2 t²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Match the second order linear equations with the
Wronskian of (one of) their fundamental solution sets.
1. y" + y − 1y = 0
-
2. y" + 5y' — 1y = 0
|3. y" +
y − 1y = 0
4. y"
5. y"
—
A. W(t) = t²
B. W (t)
= 7t
2
c. W(t) = //
t
y ly = 0, t> 0
1y
y
-
—
D. W(t) = 2e-5t
E. W(t) = 5/2
t²
-
1y = 0
Transcribed Image Text:Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets. 1. y" + y − 1y = 0 - 2. y" + 5y' — 1y = 0 |3. y" + y − 1y = 0 4. y" 5. y" — A. W(t) = t² B. W (t) = 7t 2 c. W(t) = // t y ly = 0, t> 0 1y y - — D. W(t) = 2e-5t E. W(t) = 5/2 t² - 1y = 0
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