102 INTEGRATION OF DIFFERENTIAL EQUATIONS. 



Again, if 



n(n-p-l + *-3) (n+_p-2-v + 3) i + g%_ = 0, 

 rc (n -^ - 1 + ?) (n + p - 2 - *>) Jc n + tfk^ = 0, 

 be any consecutive equations, we have 



(n -p - 1 + v) 



as may easily be seen h priori, or verified by differentiation. 

 The formula (26) is used in the same way as (22), to which it 

 is analogous. 



We will give one instance of its application, 

 d 3 y 6 dy 



*?<** 



The solution of 



d a z 



. + ^-O, is 



rx /V3 \ 



and by (26), 



2 . (3 + 1 - 3) 



01 = 



lor the complete solution of the proposed eauation. 



