194- DE JEQVATIONIBFS 



et huius aequationis difFerentio-difFcrentialis 



ddy-^r ITTT — Q 



integrale erit : 

 -ij/dxdyi^-^yxy-^-dy^Cct-^z^x-hyxx^-i-^i—r^, 



-^r^rr^-^-yyydx^ — Cdx^ 



(oL-{-2^x-\-yxx^ > 



Superfiint autem cafus, quibu& eft vel ;j— i, vel /z— 2, 



I. Sit w — I j et conditiones praecedentes poftulant 



feu LXdx^-^ddL-o et sK^X+^X^K+^mS)— c> 



hinc fit 2KKX+/-/^z=Conft. ideoque 



2 K K X i/jt- -h- K ^^K - ,VK' :=: C ^;!:'^ 



Edx'-^ldK*-KddK 

 ct X _ ^^ 



pro priori conditione autem ponatur Lr=o. Quarc 

 erit 



Q^K; P — — j/^^-); atque huius aequationij 

 ddj-^jXdx^~o. 



j: a . ^_E^-+-I^K=-K^^K 



lixiitente x. — " 2 K Kdx^' > quaecunque fua- 



dio ipfius X fiimatur pro K,- crit integraler 



-ydxdyC^^l^i-K df-\-yy K X dx^-\- iyjdx\ri^)-iCdx' 



II. Sit «—2; et conditiones poftulant : 



Prima 



