a) uxx + 2uxy + uyy + Ux – Uy = 0. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Reduce each of the following equations to its canonical form in the openings where it is of a given type. Calculate the (real) characteristic curves of the original equation and
reduce to its canonical form in each case:

 

a) Uxx + 2uxy + uyy + Ux – Uy = 0.
b) uxx + 2uxy + 5uyy + 3ux – Uy = 0.
c) 3uxx + 20uxy + 3uyy = 0.
Transcribed Image Text:a) Uxx + 2uxy + uyy + Ux – Uy = 0. b) uxx + 2uxy + 5uyy + 3ux – Uy = 0. c) 3uxx + 20uxy + 3uyy = 0.
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