DIFFERENTIAL EQUATIONS IQ5 



n i sin mr f _, , m $n 2 ~ / /, x 



. sm nO = - - - Po(cos 0) + P 2 (cos 0) 



9.061 If n is a positive integer: 



'' 



n 2 - (n - 2) 2 ] [n 2 - (n - 



9.062 



, 7T TT 



^ 



7T TTO^l) /I-3-5- .(2n-l)\ 2 / m 



T? V 2-4-6.... 2 J P2 - l(C 



. Q 7T 7T 

 2. Sin U = 



n=i 



4 2 ^^ (2W - i) (2 + 2) 



3-5 . . . . (2W - I )Yp ( Q\ 



3- ( l " - - 2-4- 



4- esc 

 9.063 



sm - 



sn- 



2 



2 . log tani^i = _ lQg sin _ log ( x + sin 



2 Sin " n=i 



9.064 JT(*) and E(k) denote the complete elliptic integrals of the first and 

 second kinds, and k = sin 6: 



!L 



4 



