has solutions of the form R(p) etmzting whe

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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Ex.4. Show that in cylindrical coordinates p, z, o Laplace's
equation has solutions of the form R(p) etmzting where R (p) is the solut-
on of the Bessel's equation
dºR_ 1 dR + ( m² -1²) R =
+
dp2 p dp
Transcribed Image Text:Ex.4. Show that in cylindrical coordinates p, z, o Laplace's equation has solutions of the form R(p) etmzting where R (p) is the solut- on of the Bessel's equation dºR_ 1 dR + ( m² -1²) R = + dp2 p dp
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