276 PROFESSOR KELLAND ON GENERAL DIFFERENTIATION. 
(See Art. 18.) For when 6=0, the equation becomes an ordinary linear equation 
u 
e2ax 

of the first degree, of which the solution is y=C 

AB ; 
In this case a=@ and A=—B: 
we may therefore write B=—A generally, and we obtain as the complete solution 
















1 
Lf is ps Ni ect yA re ue = 
The above son may be reduced Li thus. The symbolical form 
jee bee Spt 2de —— ==) 
may be written 
1 nt see i 
by Sale |S Die 2 alias ie. Nagel 
or aac pay DS ig hs ee y=0, 
: bf 1 (/—D__*. | Le J pas 
or hee =e eer a Ee ae a | eis, 
or ee =D en? age a = iD. Ones 
2 Nal os Diaae : 2a /—D+4 = pes BAS 
hich is of the f lee ee PT 
which is of the form (1——5—— ae yea )y=0; 
of which the solutions are 
i 
I+ [Pl y=o and (1 + ao) y= 0, OF 
1 2Spes iy = Se 
y +— e= ———— == (()- and ¥+— eF ——— 4 y=0, 
Yate € ap Ome y 8° an Cay, 
i di they 1 Gt oy 
id — ———— = 0, and — Se 
is Val dat-# ‘ce/aidat = 
which, on differentiation to the index 4, give the same results as before. 
s dty ody 
Ex. 2. ee Oe es +2ax Ten 
The solution is, as in merce A 
y= X +0 mics Bam X+0 
; ap ae ye: a6 1+ 66 af) 
a 
