3+ METHODJS AEQJ^ATIONES LJFFERENT. 



gniri pofliint , aliqiiot excmpla adiiingam , ex quibiis re- 

 giihc hiiiui Nliis (■Kiiius pciipicictiir. 



Exenipl. 1. Propolita lit hacc aequatio diiTcrcntialis 

 (ecuadi gradus. 



Hinc igitur formuhi Algcbraica P erit •zzi—z^i cuius fa- 

 dlores funt z-^i ct xr — i . ct ex formula prima erit 

 ^ — g-^ — — a XI. pro fIi(flore crgo z -{- i oh knz 



-I erit 51 = 2 et pars integralis — -^fe^^Xdx. Proal- 

 tero fiidore eft /tm et ^ zz: — 2 , cui rcfpondct pars in- 



tegralis — -/^— *X</a', qiiibus partibus collcdis critia- 



tegrale quacfitum. 



j —[(^-''fe^^Xdx-Wfe-^Xdx. 

 Excmpl. 2. Propofita fit hacc acquatio : 



_r 3 n dy ^ i anddy a * >< * > 



•^ — y~ dx ~T- ax^ dx* 



Erit crgo P — i -:isz-\-:iaazz—a' z^—[i -azY, Su- 

 menda ergo cft formula tcrtia , critquc /;— ^ , et ^ zr 

 ^^——a^, vndc prodit intcgralc quacfimm 



j—-ise''-''frfxfdxfe-'''''Xdx fcu 

 ^ — - ^,f *^"( xfdxfc^^-^Xdx-fxdxfe-^^^Xdx^Cai 

 j—. ^^^'"'{'jcxfe-^^Xdx-xfe-^^^Xxdx-^^fe-^^Xxxdx) 

 Excmpl. 3. Propofita fit lucc acquatio ; 



, , , a a d dy 



X—j-{- -J7T- 

 Frit crgo Pr=i-l-<7^irxr, quac ad f^rmiilam V pcrtinct. 

 iiiit acmpc cof. (^z^o (iu. Cj)— i , ci k^l Porroob 



A — 



