y,(x) = ež, y',(x) = xe y" – y' + 0.25y = 0, a. Verify if the functions yı and y2 are solution of the given differential equation. b. Find the Wronskian of the given sets of function and determine if they are linearly dependent or not.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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y,(x) = ež,
y',(x) = xe
y" – y' + 0.25y = 0,
a. Verify if the functions yı and y2 are solution of the given differential equation.
b. Find the Wronskian of the given sets of function and determine if they are linearly
dependent or not.
Transcribed Image Text:y,(x) = ež, y',(x) = xe y" – y' + 0.25y = 0, a. Verify if the functions yı and y2 are solution of the given differential equation. b. Find the Wronskian of the given sets of function and determine if they are linearly dependent or not.
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