FOHiMVLARVM DIFFERSNTIALIVM. 191 



cuiiis intcgnilc iniiiiifLfto cl\ 



^ \ -s. y- ' y p 



— 'JiJJL -U LZ. 

 Pf ^ ? • 



14.. Propofita niinc c(1o rormiila 



qii.un examinemus an bis fit integrabilis , hoc eft 

 an noi lohim f^'dx^ verum etiam f d x I V d x 

 vcrum co.ftitiuit intcgrale ? DifE.rciuiali autem fumto 

 prodit 



dy — ^'^r-^rdx-\--i dq __ 2(,xr-^2q)dy _ {6p ndx~\-6 xqdp^e xpdq) 



— yy y. yi 



j,i ' -^» -r ^* ^s 



Tnde fequentes confcquimur valores : 



M =: — - '-^ H- -% 

 y y 7^ >* 



p — — '^ 3: 7 — ^ p . 1 '8 ^ 1'*: 

 >' :>* 



X. j,^ yi y y 



Vid.ndum igitur cft , vtriim his duabus fatisflat 



ac]uati-)njbus :. 



N — '^ ^ -4- ^-^^ ^^L^ — o et 

 ■^^ r^ ^ d x^- dx^ — ^ 



^ TTT ^ d x^ — ■" • 

 quod ft ciicnerit , nuUum eft dubium, quin formula 

 propofita fit integrabilis. Quum autem habeatur 



Q _ rf_5L — — - *4-^ et 



^ d X y y y^ 



ccrte 



