Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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### Problem Statement

Are \( y_1(x) = x \), \( y_2(x) = xe^x \) a fundamental set of solutions for the equation 

\[ x^2 y'' - x(x+2)y' + (x+2)y = 0, \, 0 < x ? \]

Justify your answer.
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Transcribed Image Text:### Problem Statement Are \( y_1(x) = x \), \( y_2(x) = xe^x \) a fundamental set of solutions for the equation \[ x^2 y'' - x(x+2)y' + (x+2)y = 0, \, 0 < x ? \] Justify your answer.
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