2oS DE CRITERIIS INTEGRABILIT. ' 



haec nequatio inm- aiua» iccurntc fit penraaata. No* 



tari autem mcretiir cne ■ - . .... 



fMd X -/^cp ( A r^- B p -4- C ^ -+- D r H-etc/ 



1= At-^^^^-vCAjH-BpH-C^-f-Dr-l- etc,)i 

 Z3Xf'^*(A>-^B'p4-C<?4-E'r-H ctc) 

 atqiie 



/N^A-=r:/-A(p^A-=r A't^' 



o^fi^mdx-f^'-^Pdx+f<ldxz:J(h'- Qe^^dx-Ct^^^ctc, 



22. Operac aiiten^ prctum nunc quoque eft , 

 inueHigare multiphcatorcm huius ;icquaiionis ditte- 

 rentialis 

 ^ ^ B.v.-Zv CxV^v Dx'd'y L .x^^dy 



qui fi ponatur r:: C^ ct coufidcr:tur \t fiiiidio ipfius 

 .t tantum, habtbimus 



\ — <p[Aj-^Bxp-\-Cx'q-\-Dx'r -j-L.v'"//) 



- « 

 ▼nde rcqncntcs prodcunt \alores : 



M =: j ^( Ay 4- B .v/) -H C.v= <7 -4- D A-' r . . . 4- L .v'";/.) 



-i-Cp(Bp-h2C.v/7-H3D.v'r-+-...-l- w La-"— rO 



NrrACl); T — BCp.v; Q^nrCCp.V: R- DCp.V ctc. 



Quum nunc critcrium integrabilitatis , hnc exprima** 

 fur aequ.itionc 



N ~ j f" -f- ^- -- ^-^ 4- otc. = o 





pre 



