has solutions of the form R(p) etmzting whe

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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