(c) Consider the following 2nd order PDE, Uxx + 2Uxy +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).
(c) Consider the following 2nd order PDE, Uxx + 2Uxy +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).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 60E
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