Find the solution to the following PDES: ди y ду ди Ans. и %3D с,(ху) X дх

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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Find the solution to the following PDES:
ди
ди
y
ду
Ans. u =
C;(xy):
X
dx
k
2
dx-
ди
k > 0
at
Ans. u = e¯(A¡eka*" cosh x + B¡ekat sinh œx)
sin æx)
u =
,-ka²t
cos ax + Be-ka²ı
= e='(A2e¯
u = e¯(A3x + B3)
и — е
Transcribed Image Text:Find the solution to the following PDES: ди ди y ду Ans. u = C;(xy): X dx k 2 dx- ди k > 0 at Ans. u = e¯(A¡eka*" cosh x + B¡ekat sinh œx) sin æx) u = ,-ka²t cos ax + Be-ka²ı = e='(A2e¯ u = e¯(A3x + B3) и — е
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