-,,.,., sOn th^ Integration of Linear Differential JE^quations. 4i77 



Guildford, with all ^t other diluvial heds of this age in the 

 South of England. ! . / 



The nomenclature of transported maiiQviaX?, [terrain de' trans- 

 port) is not yet well determined. Diluvial drift will probably 

 serve for the materials under review, in contradistinction to the 

 loose materials of undoubted " moraines/' " erratic boulders/' 

 "^glacial accumulations,^' &c. 



• In my prefatory letter (p. 41), I have alluded to a paper by Sir 

 Roderick Murchison, on the flint-drift of part of the area I have 

 here had under review, read before the Geological Society on the 

 1,4th of May last, and of which an abstract was given in the Athe- 

 naeum of the week following. I had the pleasure of affording 

 some assistance locally to Sir Roderick in his researches pre- 

 paratory to the production of that paper, and it was agreed that 

 I should be present at the reading; and it was my intention 

 then and there to have advocated the opinions here advanced, and 

 to have adduced in brief, the facts and geological phsenomena in 

 their support, as imperfectly detailed in the foregoing pages ; but 

 from some misunderstanding I did not receive the intimation I 

 expected of the day on which the reading and discussion were to 

 take place. 



The publication of Sir R. Murchison's paper is promised in 

 the next forthcoming number of the Society's Journal ; and 

 " although I am a stranger to that gentleman's precise opinions 

 on the subject of the Weald denudation, 1 do not doubt of meet- 

 ing with his support and full concurrence in relatipn to, facts, 

 however we may differ as to inferences. '"*''^- rr^.'^'^pf^^'^^^^ ' 

 , i .Pulborough, Nov. 7, 1851. ' ' ' ^ ' ' ''""■'^^'' 



> itfa ■' =?nf 



V ILXXI. On the Integration of Linear Differential Equations}^ 

 Mtii; :Mii iv jgy fj^^ ^^^ Brice Bronwin*. ^ -^^U liilW 



TN this paper D is used for -7-, and the coefficients are sup- 

 posed to be integer functions of oc. The following formula is 

 supposed to be well known : — m- ;> --in.u.M.i;. -.:' m« 



If p^{7r + k)u-'np^u, ''^^^"' ^^^ '^^ ayivWithiti 



where p and tt denote operative symbols. Any forms of p and 

 TT therefore which satisfy the first of these will satisfy the second. 

 From this we have the theorem 



* Communicated by the Author, j ,v\,^\( ^^^ 

 Phil Mag, S. 4. Vol. 2. No. 13. Dec, 1851. »inijM 1 2 K 



