AEQyATlONIS DIFFERENTIALIS. 227 



a" ddy - {e -h^) a^dydx-^-eg ay dx^ n "^-^ , 



vnde -fi pofterior harum aequationuin a priori fub- 

 trahatur , fit 



aUy-faydx— Al^, 4- ^^* ' ^'^'^ 



pofito nimirum /zz:g:n/, deinceps integrando pofte- 

 riorem hanc aequationem , fecundum praecepta in 

 §. 3. tradita , oritur 



a^dy-eaydxzz^, 



cx qua collata cum antecedenti colligitur t 



Quantitas yero integralis V'' hac ratione indagaturj 



—fx 



quia conf; §. 6. /N ^ .V d x :=:fdx( C 4- a; ( B 



-{x ^B-^-fN"^. Xdx)-r{-fN~^ x'Xdx- xfN ~^xXdx 

 2. 



erit ^"==^^(0-1-/^""^. V^j»;) — N"^(D+jt(C 



^ f X ^-f X • f JC 



-/N~ xXdx) -t x'{B-{-fN~Xdx)+rN ~^x'Xdx^ 



Propofita iam aequatione differentiali quinti gradus, 

 in qua m quinque valoribus e^ /, g, /', k gaudet , 



F f a quorum 



