FORMVL. DIFFERENTIALIVM. i45 



At iti §. 5. iam inuenimus formulam V^.r, quae 

 aequaiis eft ipfi ^V, ita repraefentari pofle : 

 d\l'zzVdx-dxfMdx^dyfNdx^dp{ fVdx-p^^Ndx) . . . .^ 



•^dt(fTdx..,. i/f^^-^WAr-h/^W^v) 

 hunc igitur valorem ipfius d^', cum affumto com- 

 parando , inuenimus : 



W-fUdx; ^'-f\^dx; V^-jydx-f^^mdx... 



VzzfTdx -f-/^"'-'^P^;t:T/^'"^N^A;, 



qui valores ipfarum M', N', P' etc. in aequation© 

 criterium integrabilitatis exprimente introdudi, dant 



^Q , ddK 



w/N^^c-^wi-i^P + Cw-s)^ "V^-^^YT' — 



„ d^-^l ^ __ 



At prius criterium integrabilitatis pcr mdx multi- 

 plicando , et integrando fiet 



JQ ^^R _ /r-'T 



mfNdx^mV-^m^-^ — m -j^ ' " • "^^ J^-^» 



fubtrahendo igitur hanc aequationem ab illa orictur 

 ^Q ddK , ^-T_ ^-U 



in qua aequatione finguli coefficicntes numerici , fe- 



cundum ordinem numerorum naturalium progrc- 



Tom.XV.Nou.Comni. T diun- 



