x²uzz + 2ryuzy + y°uyy = 0 %3D (a) Classify the PDE as hyperbolic, parabolic or elliptic. (b) Reduce the PDE to a canonical form. (c) Find the general solution of the PDE.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 55E
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Consider the PDE
x'uzz + 2xyuzy + y°uyy = 0
(a) Classify the PDE as hyperbolic, parabolic or elliptic.
(b) Reduce the PDE to a canonical form.
(c) Find the general solution of the PDE.
Transcribed Image Text:Consider the PDE x'uzz + 2xyuzy + y°uyy = 0 (a) Classify the PDE as hyperbolic, parabolic or elliptic. (b) Reduce the PDE to a canonical form. (c) Find the general solution of the PDE.
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