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Let u(x, y) be the solution of the partial differential equation (х+1)уи, — и, %3D0, х> 0, у>0, with u(x,0) = (xr+1)° for all x2 0. Use the method of separation of variables to find the function u(x, y).

Let u(x, y) be the solution of the partial differential equation (х+1)уи, — и, %3D0, х> 0, у>0, with u(x,0) = (xr+1)° for all x2 0. Use the method of separation of variables to find the function u(x, y).

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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Question 9 Let u(x, y) be the solution of the partial differential equation (х+1) уи, — и, %3D0, х> 0, у>0, -u, = 0, x>0,y>0, with u(x,0) = (xr+1)° for all x 2 0. Use the method of separation of variables to find the function u(x, y). (Zero marks will be awarded if the method of separation of variables is not used.)
Transcribed Image Text:Question 9 Let u(x, y) be the solution of the partial differential equation (х+1) уи, — и, %3D0, х> 0, у>0, -u, = 0, x>0,y>0, with u(x,0) = (xr+1)° for all x 2 0. Use the method of separation of variables to find the function u(x, y). (Zero marks will be awarded if the method of separation of variables is not used.)
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