Q5: Find the Laplace invariants for U+3tu, +xu, +3(1x+1)u=D0 and reduce the above PDE to Uix +u = 0 by finding the suitable transformations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q5: Find the Laplace invariants for
U +3tu, +xu, +3(tx+1)u=0
and reduce the above PDE to
-
Uix + u = 0
%3D
by finding the suitable transformations.
Formulae
5," =D,(s",)–u"uD,(E'),
and
S" = D,(17“) – u“ ,D,(E').
Transcribed Image Text:Q5: Find the Laplace invariants for U +3tu, +xu, +3(tx+1)u=0 and reduce the above PDE to - Uix + u = 0 %3D by finding the suitable transformations. Formulae 5," =D,(s",)–u"uD,(E'), and S" = D,(17“) – u“ ,D,(E').
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