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2 (1769) Methodus inveniendi functiones unius variabilis ex data relatione differentialium secundi altiorisve gradus / auctore Leonhardo Eulero
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C A P V T II.

39

quae differentiata praebet:

bdq

* X d q ~

r

-b

V (i -\-aaqq)

vnde concluditur v.el dqzx-o vel xzz - ».

(i -\-aaqq)*

Priori casu est q\ , et } , hineque

yfp dx x ^ ' 1 - vTcrS-) - 1 - /.

-b

Posteriori casu quo xzz.

-bq

(l+aaqqf ^{ lJ r aa ii) (i+aaqqf+ ^aabqdq

dxzz. - - , hineque

[i+aaqqf

, . , 1 j .'j* bb sl* di /7

dy - pdx ( , a a q *

~ fit{i+aaqq)'

bq aabq

At est

et ope reductionum

- \bbq-aabbq

yz=Est verodq

dq

s

(* 4 -aaqqf -hlbbsj~£JL -

\ * ~r~aaqq y*

q - 2»-r dq

_ in-i _

U-t -aaqqs'*" zn{i-\-aaqq) n ^ a n '(i -\-aaqq)

Ergo