of Deposit of a Submarine Cable. 

 and differentiating, 



\ dxJ 

 ivenient, am 

 equation then becomes 



Put/) for -p where convenient, and put v for c—ex + e^y; the 



dp 

 — e — ^ 

 1 dv dx 



V dx {l-ep)\/{\-\-py 

 in which the variables are separated, and the forms are well 



known. If w= -= , the intesrral is 



l—ep ° 



from which, after removing the logarithms and restoring former 



symbols, , 



dv 



e'^ + \ ( c-ex + e'^ ij\- '^('+^0 _ g f c-ex-^e^y \ ^('•^rO_^ ^+^ 

 e V D y e'+A D / ~ iT^' 



dii ^^ 



Asa? = 0, j/ = 0, and -j-=.0, at the bottom, D may be deter- 

 mined. On substituting, 





Integrating, determining the constant by makings; and y vanish 

 together, and putting 



c c c c 



the integrated equation becomes 



