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Solve the partial differential equation: ty yu + 9xey y where u = u(x, y), given -y u (1, y) = 3e + e y and u(x, 0) = 3x-6x+1 5x + e x-2 and hence verify that = u xy yx

Solve the partial differential equation: ty yu + 9xey y where u = u(x, y), given -y u (1, y) = 3e + e y and u(x, 0) = 3x-6x+1 5x + e x-2 and hence verify that = u xy yx

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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Solve the partial differential equation: 2 xy и = yu + 9xe xy y where u = u(x, y), given u,(1, y) = 3e + e and u(x, 0) = 3*-6x*+1 5x + e x-2 and hence verify that = u и и , xy yx
Transcribed Image Text:Solve the partial differential equation: 2 xy и = yu + 9xe xy y where u = u(x, y), given u,(1, y) = 3e + e and u(x, 0) = 3*-6x*+1 5x + e x-2 and hence verify that = u и и , xy yx
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