FORMVLARVM DIFFERENTIALIVM. aix 



mox liqiict quoinodo intcgratio \Itcrius continuari 

 poflit , \bi quidcm notari mcretur , fi ex acquiuio- 

 ne \ndc X dctcrminatur , il!a tot fortiatur \alores 

 diucrfos , quoti gradus aequatio dilTerentialis propo- 

 llta e(l , inde ficri \t pro fingulis \aloribus ipfius X 

 inucniantur acquationcs diffcrcntinles gradus proxime 

 infcrioris , per qu.irum igitur dcbitam inter fe com- 

 binat oncm , aequatio tandcm eruetur , quae folas 

 quantitatcs finitas x et j inuoluit. Verum huic rei 

 txplicandae diutius inhaererc minus necefle ducimus, 

 praeprimis quod artificia in huius aequationis inte- 

 gratione adhibenda , iam accurate fint expofita. Vid. 

 llluil.r. Euleyi Calcul. Integ. Vol. II. p. 483. et feqq. 



2.2- Pro formula difTercntiali : 



vbi K et L qusiscunquc fundlioncs ipfius .v defignant, 

 quaeratur iam multiplicator (p eam intcgrabilem rcd- 

 dens. Qnum \cro fit 



Y — (^{q-\-¥.p-\-Ly) , erit 



M = (^S(^+Kp-i-Lj)-l-Cp(p,^+j--5 



Nrr(j-^)(^-i-K/,4-L;0 4-CpL 

 P = (il^^^-^K/,-i-L.r)-f-^K; Q-Ct). 

 At pro integrabilitatc formulac propofitac habctur 



fubilitutis igitur \aloribus fupra iiiuentis , hanc con- 

 fequcmur acquationem : 



Dd 2 Cp(L 



