AFQT-ATIONIS DIFFERENTIALlS. $f 



adhibita fcilicet fuperiori horum coeflkientium determi- 

 natione. Primum autem defiuiatur {3 vel e ex. hac 



aequatione 



BB(g£-E)— DD((3{ 3— A) , sADf— ~BEj3 f» 



Ali^-E(3p ~T* Be— D(3 —- *" 



tum vero erir : 



n/ _A«— Ep(3. ^ j3^— A . v_ s^ ^ 



V — bT— d"p i a — ■ ""7 > f? — y Cl 



o z= a££-HeP3 h V leu o — y H- p 



§. 27. Hinc ergo peripicuum eft etiam hanc 

 aequationem differentialem : 



dx ___ dy 



VTAH-jDx 5 ) V(A-f-2Dy*J 



integrari poffe; nam ob B_ro, Q—zo et E — eriC 



-sa^ _^ =0 feu t _ ^ ^.pjA.pp, 



at hinc valores nimisprodeunt complicati. Facilius negotium 

 abfoluetur, refoluendo valores litterarumeuauefcentium B,C 

 etE;namEr:0 dat: X-4'i tum B-odat: ^zy-f 15 ^ ; 

 atque Crfl dat ££-yy_:a<--h2(3e:=: *y -f «P.e^U 

 -+■— ^ £ cuius faclores funt (3(3 ray et aez-\-2.^ye~o. 

 At fi eflet (3(3=z. ay foret A~o, fin autem eflTete-0 

 foret et %—.o et Dz-ro, contra fcopum. Fieri ergo 

 oportet aB—z — zpy, vnde fiet azr — 2 ^\ $ — — y; 

 et £— y. Denique fieri debet (3(3-h— e — =Aet-aye 

 - e ~=:D. Inde fit -==5$g; et ob^=- (ayy-r(3 £ ) 

 et 2 y y -+- (3e = V , erit ~ = - ^ > ldeoa . ue " = " *a 5 



E r S° (xipjy-h i~^o. 



G * §. 28. 



