Classify, according to type (hyperbolic, elliptic, parabolic) the equations (i) Uxx +2Uxy +Uyy −Ux +U =0. (ii) 2Uxy +Uy +Ux =0. (iii) Uxx − Uxy − 2Uyy = 0.
Classify, according to type (hyperbolic, elliptic, parabolic) the equations (i) Uxx +2Uxy +Uyy −Ux +U =0. (ii) 2Uxy +Uy +Ux =0. (iii) Uxx − Uxy − 2Uyy = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 31E
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Classify, according to type (hyperbolic, elliptic, parabolic) the equations
(i) Uxx +2Uxy +Uyy −Ux +U =0.
(ii) 2Uxy +Uy +Ux =0.
(iii) Uxx − Uxy − 2Uyy = 0.
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