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(h) Starting from (19), show that a sin 8- ;(sin ) + =-j(j+1)Gsin? (0) (24) [4 Now, note that the angular differential equation in equation (24) is still a partial differential equation, to convert it into an ordinary differential equation, we will first separate G as follows: G (0,6) = T (0) Z (6) (25)

(h) Starting from (19), show that a sin 8- ;(sin ) + =-j(j+1)Gsin? (0) (24) [4 Now, note that the angular differential equation in equation (24) is still a partial differential equation, to convert it into an ordinary differential equation, we will first separate G as follows: G (0,6) = T (0) Z (6) (25)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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aG sin (0) 1 sin“ (0) dg S = -j(j + 1). (19) G sin (0) a0
Transcribed Image Text:aG sin (0) 1 sin“ (0) dg S = -j(j + 1). (19) G sin (0) a0
(h) Starting from (19), show that a sin 0- sin ) +2 = G - -j(j+1)G sin? (0) (24) Now, note that the angular differential equation in equation (24) is still a partial differential equation, to convert it into an ordinary differential equation, we will first separate G as follows: G (0, 6) = T (0) Z (4) (25)
Transcribed Image Text:(h) Starting from (19), show that a sin 0- sin ) +2 = G - -j(j+1)G sin? (0) (24) Now, note that the angular differential equation in equation (24) is still a partial differential equation, to convert it into an ordinary differential equation, we will first separate G as follows: G (0, 6) = T (0) Z (4) (25)
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