Question 2: Solve the following partial differential equations 1 ди (a) даду %3D Y у дх

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)
dxdy
y dx
(b) игу
du
4 e cos 2x, given that at y = 0,
= cos x and that u = y? at
ду
x = T.
(с) и, + 4 иу — г(и + 1), и(г, 5х) — 1.
ди
(d)
du
4
+ u, given that u(x, 0) = 5e-2".
Ət
Transcribed Image Text:Question 2: Solve the following partial differential equations 1 ди (a) dxdy y dx (b) игу du 4 e cos 2x, given that at y = 0, = cos x and that u = y? at ду x = T. (с) и, + 4 иу — г(и + 1), и(г, 5х) — 1. ди (d) du 4 + u, given that u(x, 0) = 5e-2". Ət
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