or 
bo 
PROFESSOR KELLAND ON A PROCESS 

: (D-1 D ; 
By making hoe) = pea (- =) ange ((1l4) 
this equation is reduced to the equation of the first order. 
9 -l 
p— Dim at Hox s(—Z) Oa (2) 

- 
(ee! 
D Peoee2 
Also = 
/-g-3+1-4 
22 2 : 
“Dim Tig : 
—(m—2+q) 4 | 2 2 2 2 (m—2+9) 4 : 
oe) ri ef mee aa io 
x dx 
which is of the ordinary form when m-+q is a whole number. 
The same is true if —g be substituted for q. 

Section III. Comparison OF PROCESSES. 
We shall occupy this Section in the comparison of the different methods 
which may be employed in the solution of a given Differential Equation. 
13. To find the value of [—D . ». 
Suppose v expressed in the form 
AB 
v=— +——_ + &e. 
ge grhtr 
=Ae—"44Be—@+744 &e. 
then [=D . o=A |ne—"44 Blntre~ Ot" 4 &e. 
[n Fe 
=A—+ 
a” art 
ir ey —_ _ 
-f edie (Ao Une Sat ree 
0 
=". Be of (A. a"+Ba"*" +&c. 
Hence, if v= f (2) 
-Dre=fe* 22 + (4) 

