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3) Use separation of variables method, and obtain two ordinary differential equations for X and Y 1 where X=X(x) and Y=Y(y) for the PDE given by u„ +-u̟ + 1 u =0 where u=u u=u(x,y). X

3) Use separation of variables method, and obtain two ordinary differential equations for X and Y 1 where X=X(x) and Y=Y(y) for the PDE given by u„ +-u̟ + 1 u =0 where u=u u=u(x,y). X

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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β = 8

3) Use separation of variables method, and obtain two ordinary differential equations for X and Y 1 where X =X(x) and Y=Y(y) for the PDE given by u +-u̟ + 1 =0 where u =u(x,y). u *xx X
Transcribed Image Text:3) Use separation of variables method, and obtain two ordinary differential equations for X and Y 1 where X =X(x) and Y=Y(y) for the PDE given by u +-u̟ + 1 =0 where u =u(x,y). u *xx X
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