CONSIDERATIO 



AEaVAllONIS DIFFERENTIO - 

 DIFFERENTIALIS 



A u c t o r e 

 y L. E F L E R O, 



I. 



Primo haec aequatio ad fbrmam differentialem fim^ 

 plicem reuocari poteft ponendo /s — /<y ^x, \t fit 



'-^-vdx et^-|^^|^:=:^.v^.^, 



ideoque 



l)iiufa enim illa aequationc per zdx hinc orictur: 

 {a'\-bx)dv-\-(ci-^bx)'uvdx-^(c- + ex)'!LA^^(/j^gx]±^^-o 



cuius integratio fi patcret , foret pro propofita 

 i z —fv d x^ 



II. Hinc duplici modo tcrminus fimplici quan- 

 titate V afFedus elidi poteft. Pro altero ponamug 

 v — u + X denotante X fundionem ipfius x wox 

 determinandam 5 et fada fubflitutione fiet 

 ija+bx^du-iici-^bxpudx-i-ic-^rex)^ -^(f-hgx) ^l 



-^iia-^-bxytXdx-^ia+bx^dX [ 



•^(a+bx)XX4xi^^* 



Q a Um 



