279 PROFESSOR KELLAND ON GENERAL DIFFERENTIATION. 
The symbolical form is 










ae yra(—l)*e a “y+ ty=0. 
—D+3 3 
or _ 3)y+a(—l1l o> 70) 
(=D4fyte(—1) Sot y 
2 a 
or yea (1 D =e 7 y=0, 
sg UIST EL wl 
or Pears =p =a) 
Y 
or y—ae’ ea = 
dxt 
a, 
dt 
Ogos =O 
or = aay 

1 
ee = i 
y=AVae (5 JX 
Rx. 10: = 
The symbolical form of the equation is 

d + 
ytan # +2" (£4 +Cx 

eee, asl, 
vinta ff timing 
dz 
(Ex. 3, Class 2.) 

d 
} +0. 
Hed 

gl D+l pte = ee +4) ws 
ee: ey ea 
or (+@¢D)y—60/—1e" = (1+¢D- 5) -y=0 (1). 
This equation may be reduced in several instances : 
Anode — - the equation becomes 
(1+aD)y—6b ns ] 
-  taD) y~ 56/27 
or y 5 = /—Dyn—3 
/—D+n 
(—D— /—D+n—-%) 

or yt ave 
ieee 2 =1—n, equation (2) is reduced to 

1) Pa 
=p 
(n 
(n—4)6 
y—0, 
[D+ (6-49 py (D) 
e ~ DP y =0. (2.) 

