
PROFESSOR KELLAND ON GENERAL DIFFERENTIATION. 959 
and that the result of substitution is 








Bee Oe «D) i iS 4 
Av+—+—+—+ & e js Ce D ) 
7 24 | = B + — — ——————— ° 
of | at m/ i x PARE +r oa &e 
eee Oy &e ioe AEN Ye EE &e. ) 
2 2 IB [3 a |g @ 
so that 
(lL m/-1’ |g m/—1 [l jg m 
Soe aC: Sa 
[A m/—1 1 ig 4 mV — 
pai 2/5 1 4, 
/1 |g |4 Pp m* 
and also 
eB ae a ae a Sala oo 8 oe 6 
P= 5 m/v [2 |g m® 2 fg [5 mF —1 
2 8 2 [6 a g. 
2 |e B ppm 
1 eat eA: xd 
f= {@j 3m? x * 2 i ee ee 
5 5 11 
2 
2 pao PALL, ay 
+3 (ena ag 1 2. Sa 6m 253 2.3.5.6.8.9mé pot &e.) \ 




kus ie 2-4 a-$-'s )} 
eS (2 ade ee ic, 
mV —1\ai 3.4m? x? 3.4.6.7 mtx? 
Each of these four series is the integral of a differential equation of the se- 






cond order. 
ay, 1 1 4! 
Let da” 3.3m @*t.3.5.3mias &e 
a 1 
then Cae are a &e. 
and PY ay, 5 3 Caan 1 1 & 
ad x? nie . 2 2 m? a? 4 A 3 m* ve c 
Ws 1 dy, 
WS) hah decide 
d? y, 1 1 dy, y, 15 
or da Ce = dz Az 8 

