Question 2: Solve the following partial differential equations 1 ди (a) dxðy = - - у дх du (b) Uxy = 4 eY cos 2x, given that at y = 0, cos r and that u = y? at dy x = T. (с) и, + 4 и, %3 т (и + 1), и(х,5х) — 1. (d) du + u, given that u(x,0) = 5e-2ª.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 2: Solve the following partial differential equations
1 ди
(a)
drðy
у дх
du
(b) ury = 4 eY cos 2x, given that at y = 0,
= cos x and that u = y? at
dy
r = T.
(с) и, + 4 иу — г(и + 1), и(х, 5х) — 1.
du
(d)
du
+ u, given that u(x,0) = 5e-2ª.
Transcribed Image Text:Question 2: Solve the following partial differential equations 1 ди (a) drðy у дх du (b) ury = 4 eY cos 2x, given that at y = 0, = cos x and that u = y? at dy r = T. (с) и, + 4 иу — г(и + 1), и(х, 5х) — 1. du (d) du + u, given that u(x,0) = 5e-2ª.
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