QVIBFSDAM INTEGRABILIBFS igg 



i-H^.r 3 



il— 



• -3 • —4- -■? 



J? ? -f-3.r 3 -I-3A: 3 



III. Eodem modo jEquationis Ir 5 dx' — 



J ^ ^ dx:^dy integraHs ipvenietur 



/ r-1 zl -zl -8 \ 



^(i-H5;r~4-i^.r~r) 



~(8 j-8 ) (8-t-"8 ) 



IV. ^quationisa: i dx-j^x t dx:=Jj, 

 integralis eft 



^(i4_7j-T--4-9i^<,T-_^-lii.^r-f). 



Quodfi iam progrediamur ad aequationem difFerera- 

 tialem uno termino ampliorem ax^dx-^-hyx^^dx^cy^dx 

 izdy [ ex qua tamen duae coefficientium a, h^ c, pro lu- 

 bitu in alias transmutari polTunt , ut fupra indicatum fuit) 

 fimiliter varii fe ofFerunt cafus integrabiles quorumnon- 

 nuUos explicabimus. 



4- "-f-2&-f-4 



I. Si ax^^^fi^dx-^hyx ^dx-^cy^dxzzdy. x- 

 quatio erit integrabilis dato n numero quoeunque inte- 



gro. 



Demonftr. 



Ponatnr ^^^■^^^^^'^"'-f-Ar'*'*^^ transformabitar 



xquatio data in hanc 



A a 3 *^ 



