<¥& ) «7 ( 



_*3« 



quare habcbimus 



:J</ x\ d x \d*y 



\+i i + a + (3 



! + X,'+X' 



Hcic vero coefKcientcs dirFerentialium d'y, d l y, d'y, ddy, dy 

 et ipfius y difparere debcnt , quare fequentes habebuntur ae- 

 qualitates • 



f3 -f- X' := o ; 5 -f- X (3 -+- jji' -f- X' (3 y =_ o 



A^-r-[x_-+-yp-+-X'^-+-p. , 5'-r-v'p'_=:o 



(JL £_f-K--t- l „'£'-r-v'5':__o; v < -f- v' £' ___ o. 

 Fx his autem aequationibus fequentes deducentur valores : 



X'--|3; X_=(3'; jx' = - $ ; K- — <$' ; v'— -£; v __ £ 

 quibus valoribus fuffedtis , aequatio noftra fexti gradus fequenti 

 modo erit exprefTa : 



/ x -+- ( a -f- (3' ) d % x -f- ( a (3' - a' (3 -+- y -f- S y ) d\x 



.(_.'-a'.+(3'Y-^y-f"e4- <')-'* 

 (a^-a'^ + (3'e-pe' + y«5'-y'^)^</A- 

 •(y^-y'^ + _'e-5eVjk:+(e4'-e'<)x_:o. 



§. 8. Simili plane ratiocinio pertingere licebit ad aequa- 

 tionem differentialem , quam fola differentialia ipfius y ingre- 

 diuntur , priori pcrfecte fimilcm. At vero poftquam variabi- 

 lis .r inuenta fuerit , inde y facile determinabitur ope huius 

 combinationis : 



V -f- m. IV -f- m' III -+- n. II -f- «'. I, 



+ve 



+v'e 



U 



+v« 



quac 



