+ 2x - + (1 – y²) - dx²y Show that the equation dx2 dy? 2 + y² < 1, parabolic on the boundary is elliptic for values of x and in the region x and hyperbolic outside this region

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 24E
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2z
+ (1- y²)
dy?
Show that the equation
+ 2x -
dx2
dx²y
2 + y2 < 1, parabolic on the boundary
is elliptic for values of x and in the region x
and hyperbolic outside this region
Transcribed Image Text:2z + (1- y²) dy? Show that the equation + 2x - dx2 dx²y 2 + y2 < 1, parabolic on the boundary is elliptic for values of x and in the region x and hyperbolic outside this region
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