DIFFERENTI0-DIFFERENTIALI5. i35 



iti vt (it 



qL c^ex etRm-^t— .• 



Sitque miiIt!plicator 2. p d z~\- q z al x^ idenque ae- 

 quatio integrabilis; 



ipdz ddz + qzdxddz+ 2pQdxdz^-{-Q_qzdx^dz-\- zpRzdx^djs 



--\-qKzzdx^ =10. 

 Statuatur aequatio integralis : 



pdz -Yqzdxdz-^-zzdx* fKqdx—Qdx* 



cuius difFerentiali iude ablato fieri debet: 



•{■^Qjpdxdz -dpdz—qdxdz^ ? 



4- Q^zdx^dzi- 2 Rpzdx^dz—zdxdqdz— 2 zdx^dzfR qdx \ """ 



jrnde hae duae ae^uationes exiftunt : 



dp-^-qdx-^Q^pdx feii ^-±-{-1^— zQdx 



ct Q^^Jf -f 2 Rpdx—dq- 2 dxfK q dxzn 0. 



Ponatur /R^r^/r— S, erit Ra^jf — — et 



qjdx-^r-^-^-dq-z^dx-o feu ^S-^*=^ 



ct pra Q^AT rcripta fuperiori talore 



J C Sqdx q dt -,.. q qdp - __ g^dae ^ 



Sit K numeru& cttiu& logarithmus^ zz 1 et integtan,- 

 do eruitur 



— fq d * — i ^d xr 



** •' ^2^ ♦?£ ♦?? 



— /^ d X . — Jqdx r 



»— ?~ S:=:lC-t-)t f ii , vnde fit 



