EXAMPLE 3-3 Show that ex is eigenfunction of the operator d" /dx". What is the eigenvalue? an
EXAMPLE 3-3 Show that ex is eigenfunction of the operator d" /dx". What is the eigenvalue? an
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please, explain and calculate again the solution since i cant understand the eigenvalue part, thank youu
Transcribed Image Text:EXAMPLE 3-3
Show that e is an eigenfunction of the operator d" /dx". What is the eigenvalue?
SOLUTION: We differentiate ex n times and obtain
d"
-eax = a"e"x
dx"
and so the eigenvalue is a".
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