4 NILS ZEILON, 
The introduction into 3’) of « from 2) gives us, on observing 
that the 4 refer to the coefficients A, and B,: 
— o(sinh ky 4A + cosh ky AB) + 
: A B 
"is FU (sinh ky 4 TRUM cosh kyd 5) = 0, 
and on identifying y with ri, and writing 
a = À, sinh krh + B, cosh krh 
ß = A, coshkrh + 2, sinh krh 
we have easily: 
6) da = khB + —— . AU. 
p 
By the similar treatment of 5) we find: 
| 40 | | 
= go. ka + kg s U(sinh krh 44, + cosh krh 4B,) 
= 4(e(— o? + ka U) (A4, cosh ky + B, sinh ky)) , 
where y is put = rh after executing the operation 4. Since identically: 
sinh krh . A44. + cosh krh AB, = da — hp 
cosh krh . 4A, + sinh krh 4B, = AB — khe. 
we have: 
40 . € Ó 
)  g 49:5 = ka U — 7) (48 — kha) + tepa(o(t t 2) 
U EN ER 
k N 
Into the equations 6) and 7) we introduce = V, and after tak- 
ing h = dy, finally obtain: 
