ansform the following equations to a canonical form (1.e. without cross-derivative ) 4Uxx +12Uxy + 9Uyy = 0. QU - ATT GUI :0
ansform the following equations to a canonical form (1.e. without cross-derivative ) 4Uxx +12Uxy + 9Uyy = 0. QU - ATT GUI :0
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:9. Transform the following equations to a canonical form (i.e. without cross-derivatives):
(i) 4Uxx +12Uxy + 9Uyy
= 0.
(ii) 2Uxx - 4Uxy - 6Uyy + Ux
=
(iii) Uxx + 2Uxy + 17Uyy
=
0.
To which type do each of the equations above belongs to?
0.
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