EXAMPLE 3-3 Show that ex is eigenfunction of the operator d" /dx". What is the eigenvalue? an

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Can you please, explain and calculate again the solution since i cant understand the eigenvalue part, thank youu

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".
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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