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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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