Match the second order linear equations with the Wronskian of (one of) their fundamental solution se 1. y" - 5y' — 10y = 0 2. y" - y - 10y=0, t>0 3. y" + y - 10y = 0 |4. y″ + —y' — 10y = 0 5. y" — y' — 10y = 0 - A. W(t) = t² B. W(t) = e5t c. W(t) = 7t D. W (t) = E. W (t) = 2t5

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets.
1. y" — 5y' — 10y = 0
|2. y" — —y' — 10y =0, t>0
|3. y" + ¾y' — 10y = 0
| 4. y" + zy' — 10y = 0
5. y"
y 10y = 0
A. W (t) = t²
B. W(t) =
e5t
c. W(t) =
D. W(t) =
E. W (t) =
=
4 2~5|P
7t
t²
Transcribed Image Text:Match the second order linear equations with the Wronskian of (one of) their fundamental solution sets. 1. y" — 5y' — 10y = 0 |2. y" — —y' — 10y =0, t>0 |3. y" + ¾y' — 10y = 0 | 4. y" + zy' — 10y = 0 5. y" y 10y = 0 A. W (t) = t² B. W(t) = e5t c. W(t) = D. W(t) = E. W (t) = = 4 2~5|P 7t t²
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