gnBFSD. CALCru INTEGRALIS. 2SS 



f ;iceun% \t oriatLir taJis, "^^PT. ,ua.j\x'"dx-- = {nxyddy 

 -r-u-i.nxW-) l;r_ju^e ficlj, diuifione per .ry , in 

 harx miita bitiir , m-i. m a x"" " ^dx^ znnby^^-^ddy 

 -f- ;; - I . nby'' " Vj % cuius integralis- eft m ax"^ - 'dx 

 — nbr-'d)- qu:ie denuo integrata reddit ax"^ — bf 

 hoc eft,, ante affi^mtam confirmat. Propofita acqiiario 

 reducitur quidem ad hanc liiiii^ i?f _^' — 2-Li2Lir 'iEjri>5 



j' J' j^^ ^"f vero, flxdui. integratione , nd 



iftam, -:E::Zlf - f -f- ;;/rf2^_^ q,od ^ltimum mem- 

 brum autem. quomodo integrari pofTit, non perfpicio^ 

 In cafu aliquo particularr fit intcgranda acquatio diffe- 

 lentio-difFerentialis aydx^ — x^-ddy\ patet, ftatui debere 

 ?;rri, quo fliclo eruetur /// - i • w;''^-^' — ^•^.'/^j/ 

 aut £ida iam diuifione per j', m- i . niy dx- zz: x'ddy:^ 

 ftatuatur ergo vlteriui m — i. m ~ c?, aur vero ;;^n: i-|- 

 '^[a-\-\) , vt aequ.uio generalis perfede ad hanc fpe- 

 cialem. determinetur , atque erit integralis qnaeCtai 



ax. — ^ ^' — by,. 



§. 22. Seamda methodus confiftit in eo, vt pro- 

 pofita aeqaatio differentialis aliquando denuo differentie- 

 tur ,, atque tum. difFcrentiale fecundl gradus pec diuifio- 



neaii 



