University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg37

From Wikiversity
Jump to navigation Jump to search

EGM6321 - Principles of Engineering Analysis 1, Fall 2009

Mtg 37: Thurs, 17Nov09


Page 37-1

[edit]

P.36-4 continued







From P.18-1 :

(1)



HW show

ref K p33 for

(2)



is odd

HW: Use Eq(2) to show when is even or odd, depending on "n"

HW: Plot and

Legendre function or solution of Legendre solution

Page 37-2

[edit]

(1)

for

for

for HW

Eq.(3) P.33-1

for

Proof: Legendre equation, Eq.(1) P.14-2 : 2)

Where

(2)





Multiply by and integrate from -1 to +1:



Where


Page 37-3

[edit]

Integrate by parts:

(1)



Interchange n and m:

(2)



Eq(1)-Eq(2):



Where since

when

cf.K.p41

References[edit]