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e eigenvalue for the function x*y²/3 when acted on by the op +2Y ay  = 2x

e eigenvalue for the function x*y²/3 when acted on by the op +2Y ay  = 2x

Advanced Engineering Mathematics
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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**Problem Statement:** Find the eigenvalue for the function \( x^4 y^{2/3} \) when acted on by the operator \[ \hat{A} = 2x \frac{\partial}{\partial x} + 2y \frac{\partial}{\partial y} \]
Transcribed Image Text:**Problem Statement:** Find the eigenvalue for the function \( x^4 y^{2/3} \) when acted on by the operator \[ \hat{A} = 2x \frac{\partial}{\partial x} + 2y \frac{\partial}{\partial y} \]
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