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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 34RE

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Question

Consider the following 2nd order PDE,
Uzz +2Uzy + 4U₂ = 0.
(i) Write down its principal part and then determine the type (elliptic, parabolic
or hyperbolic).
(ii) Change the principal part of the above equation to a canonical form (i.e.
without cross-derivatives).

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