.204- DE CRITERIIS INTEGRABILIT. 



per ^ anteceiicntcm , multiplicator lianc formulatn 

 inte^rabilem redJens ent 



(f a — 'v u J i -t- ( (J « — « = )" ' 



fiiie haec formula fict integrabilis diuifa per 



+ [6+ 1 x-\-yy) ((p ^ - Y £ )jM P ^ - « e). 

 Videamui vcro nunc an ct alio modo , hunc mul- 

 tiplicatorera detcgcrc liceat , Itatuamus igicur cum 

 zz CP , quumque fit 



VrrCp^a + t^p-f-p.v + e.vp + Yi^ + ^/p) ^rit 



l^^[^^U + Sp-^^X\ixp + yy-\-^y0\-(^{y-V^p) 



jHinc ob N - ^ =: o , fiet 



cx qua aequatione valorcm ipfius quaerere oportet. 

 Verum cnimucro quia infiniti valores pro fine 

 dubio dantur , qui huic acquationi fatisfaciant » ton- 

 gruum crit pro <X> aliquem valorcm afiumere, cum- 

 que cxaminarc, an conditioni noftrae fatisfaciat. Qoan- 

 doquidcm veto cafu a~o et ^ ~o, muliiplicator 

 eflfc debcat 



inde rationem adipifcimur pro nofiro cafu fuppoDcndi 



Hiac 



