Show that in cylindrical coordinates r, 0, z defined by the relations x = r cos 0, y = r sin 8, z = z, the Laplace equation V²u=0 takes the form ди 1 ди + ar² 1 2²u r dr r² 20² + + zu dz² =0
Show that in cylindrical coordinates r, 0, z defined by the relations x = r cos 0, y = r sin 8, z = z, the Laplace equation V²u=0 takes the form ди 1 ди + ar² 1 2²u r dr r² 20² + + zu dz² =0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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