fio5 DE CRITERIIS INTEGRABILIT. 



fiiiiili Tero modo probatur cfle 



2.1. Si propofita fucrit fcquens ncquatio difTc- 

 rentialis : 



cuius integrale quacrcndum fit , quum ifin aequatio 

 pcr fe non fit intcgrabilis , inuclligandus efi multi- 

 plicator cam integnibilcm rcddcns. Hunc in finem , 

 antc omnia obfcruarc licet , fi dctur aliquis ciusmo- 

 di mukiplicator , qui fundio fit ipfius .v tantum , 

 isquc fiatuatur —(P, totum ncgotium co rcdirc, vt 

 formula 



<p d X (Ay -f- B /) -f- C^ + D r -4- L w) 



fit integrabilis , quia tum formula (^ X d x per fe 



intcgrationcm admittit. At pro litteris, M, N, P etc. 



fcqucntcs obtincbimus valorcs : 



M = J-^ (Aj 4- B /) -h C 7 . . . . 4- L «) 

 N — ACp- P — BCp^ Q— CCP ctc. 



quia igitur pro iutegrabilltate effe dcbet 



indc fequitur fore 



A CD - Liiti + f^J^JH _ TU^J 4- ctc. — o. 



^ dx Jx^ ax' ' 



Vt autcm valorcm idoncum pro Cj) inucniamus , 

 fufponauuis (Pznfzdx, adco vt fit z quoque fun- 



' ■ c^lio 



