Demonstrate that the function n eigenfunction of the operator f(x) = 4x4 - 12x² + 3 d² dx² d Â(x)= -2x dx d dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
[b] Demonstrate that the function
is an eigenfunction of the operator
f(x) = 4x12x² +3
Â(x,
what is the corresponding eigenvalue?
d
d.x
d²
dx²
2x
d
dx
Transcribed Image Text:[b] Demonstrate that the function is an eigenfunction of the operator f(x) = 4x12x² +3 Â(x, what is the corresponding eigenvalue? d d.x d² dx² 2x d dx
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