^o 



i z6 CONSIDERATIO AEQyATIONIS 

 lam ftatuatur X=r=^^, vt fit 



dX=:^3I^^ ^i;X\T -^ prodibitque 



* 'v* ' ''0'»x' 2Xx(a-4-6;c) 



^xx{a-i-bx) 



feu hoc modo : 



dU + UUdx + *«^-+-^^)if-^-Sx ) -h^(ao-h^hcx-i .b exx)—(c-^exy ^XZIO» 

 ' ^■xx(a-i-bx)''' 



III. Per alteram methodum cum priore con- 

 iundam ponatur i; — P« + X, exiftentibus P et X 

 fundionibus ipfius x, et fubftitutione fada obtinebitur: 



(a+bx^^du^rCai-bx^VPuudxi- (c-^-ex) l^ + — Ar^ 1 



+ {a-\-bx)ud? +(fl+^^WX f__Q 

 -{-^ia-^-bx^PXudx-^- {a-^-bx^XXdxl -^ 

 + iC'^ex)^S ■ 



Tnde fieri debet 



(l±j^)lAjE^(ai-bx)d?-{-!i{a + bx)?Xdx=o,^ 



Introduxi autem hic binas fundiones P et X ,. quo 

 inueftigatio latius pateat ; vulgo enim hac altera me- 

 thodo vtentes ponere folemus V—Vuy vt fit Xino, 

 quo cafu erit 



i_P _i (c -i-e x)d x Q /^j. d? \_c_ d x , ae — £-c d x 



vnde integrando colligitur : 



c, q e -~h e — e £_ — !L 



P.v^(^+^:f) «s~:^C et VziCx «(<2 + ^^> * 

 '■" ef afiquatio noftfa differentialis primi gradus erit 



Cx 



