( 242 ) 
“hea 
qe fe „e= = fly) 
2 (pw) — fe dij =f (p) 
U. r—A%=—0. 
For convenience sake we have represented the unknown function 
by the square of a function 4; we then find for the most gencral 
form of À 
Ks 
| 
| 
| 
A(AEN — Z?) + 2AXZp — A(X? — 1/48) p? | 
Z — AEX? — 1/43?) — AYZq + A® Ng? | 
where 
X=Ae+C, A= Az} B, Y=2y—2y dr, 
N=(y—y) y—y +A) 
and A, B, C, £, # and 7 denote arbitrary constants. 
To be able to express the intermediate integrals in a simple 
manner, we write 
A= See 
Dera op’ 
OV dv dv 
BVS ae ay + (p — dq) 55’ 
ov 
AT) = +: 
oV ov dv 
B(V)= A ai ie + (p + Ag) ao 
Then the two intermediate integrals are 
Am) | BiA)) 
As Las) 
AD _ (Bild) 
28 (4,(a))’ 
