FORMVLARVM DIFFERENTIALIVM. 209 



pro N, ?, etc. coriim vnlores fiibflitiiendn , ae- 

 quationein obtincbiimis , ex qua \alor multiplicnto- 

 rls Cp dctcrminari poterit. Quo autem boc faciliu* 

 procedat , notafle iuuabit , fi in gencre ponatur 

 UrrCp.v"', tum -vero quoque x^ zn v , cffe 



atque 



</"^' — ;«(7;/— 1)(;//-2) . . . (w-h i-n)x^'—''dx''^ 

 quamobrcm nunc erit 



^Hrr .v'"^/'"^) -t- in x'"-'dxd^-'(p+'^^^ilx'^--dx^'d'"-'(P 

 4-r.'>-'''ipil:.v^-V.v^^-^(p+ ctc. 



Hiiius igitur formulae ope , criterium integrabilitatis 

 lequenteni nobis praebebit aequationcm : 

 o-ACp -B?i| + C'^-D^4-E^=I>-< 

 -B -^4C -9D 4-i^.E -25. F 



1. 2. J '. 2. Z I. 2. 1 I. 2. 3 1. »• l 



, L6.s.^£ — '^•■^•^ * F + etc. — ctc. + etc. 

 ' i.j. j. ♦ 1.1. 1. ♦ 



etc etc. 



vbi iam progrefllonis kx pro omnibus terminis fati* 

 efl mauifcftii. Verum ex liac acquatione nihil aliud 

 concludi poteft , nifi quod Cp per huiusmodi aequa- 

 tionem determinetur : 



Tom.XVLNou.Comm. Dd A'<p 



