->&! ) 7* ( £c§» 



cTx <Tx I d*x I </ 5 * [ //♦* 



ipv-fv \p ,£ -P e '!p'i-pv (3'»-^«' 



Jy<5'-y'c$ y^ y'£ yt'-y'$ 

 [d^-dVlo^-ovv' 



</ 5 x ddx 



yn'— yn' 

 o',— d t' 



eO'- £ 'iW e K'-e'H 

 4'i- 



#WV 



</* 



Y,0 



'l-<»' 



y/ 1 vjh'— y/h 



l h'— i h' 



Hinc igitur pro aequatione noftra finali, erunt valores cocffi- 

 cientium : 



A = a + 0' 



B = y + cV + ap'-a'£ 



C = e +£'+ a5' — a'5 + (3'y-py' 



D-vi + ^ + a^-a^ + ^e-f^ + y^-yS 



E = t+K / + ae'-a'0 + | '3'Y r -{3v;/+y< / -y'£+5'e-5e' 



+aH'-a'H + (3't-^i' + yO'-y / 0+5 / Y ) -5Y/+£^-e'^ 



+yx.'-y / H + o / i-5/ + e G'-e' +<S~<V 



+ e h'— e'x + £'t — £i'+>)0' — »'0 



+ y i h. / ->)'k + 0'i-0i' 



F- 

 G= 

 H= 

 1 = 



K = 



+ ih' 



i'k. 



Nec haec disqnifitio maiorem inueniet difficultatem, fi aequa- 

 tiones differentiales huius generis , adhuc altiorum ordinum 

 proponantur; quare iam ad eas aequationes differentiales trans- 

 eamus, in quibus difFerentialia trium variabilium x,y, z, oc- 

 currunt. 



§. 13. Heic vero iterum a fimpliciori quodam cafu, ini- 

 tium faciamus. Propofirae igitur fint hac trcs aequationes fe- 

 cundi ordinis : 



d dx +- a d x -+ (3 dy +- y dz -+ 5 x -+ ty +- Z, z = o 

 ddy-\-a'dx-{-^(ly-\-y' dz-\-l' x-\- t'y +^'«— o 

 ddz-+-a l 'dx-+-p"dy-+-y"dz-+ h" x-h-t"y-\-%" z — o, 



ez 



