PROFESSOR KELLAND ON GENERAL DIFFERENTIATION. 

 The symbolical form is 



/ / — D + 1 ^ / — - „(,/— D + * „ 



or 



j—iJ + n 

 This is reducible, 

 1. When c=n-i; and it becomes, by dividing, by -D + »-j, 





or 



or 



or 



If 



a V — 1 e 



D + w 



/-D + M-i 



■ ^=0 





-D 





y y-("-i) =P, this equation becomes 

 at,a-"-i+^=0, or 



ax 



which is integrable when «=^, 0, -j, -1, &c. (Class. 2.) 

 2. When c=ra, the equation becomes 



or 



or 



or 



If 



Ex.9. 



■^ /-D + M + 1 -^ 



/-D + M + i 



<i^ y f. 



ay + x — T , , = 0. 



^ dxix"- + i 



-^ =v, this equation becomes 



av + x~"*^ J- =0 ; the same as before. 

 ax 



^il-ax^^-iy = 0. 



271 



d x^ 



