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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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hintque i? - ; C ui particulariter satis-

fit ponendo a«+(A~i o. > .

~p- / - 1 L : \

Sit primo uu-\-{ A i )«-f-B;z (#+-/ erit

particulariter ly~~flx Q.tJ l 'zzxT~ f , similiquemodoyzz x~* e , vnde integrale completum erit u

y « x~ f ^- *t o >

Si fit g~f statuatur xg~/ w :_euanescente u erit

. ^ A_ i i v ) 'viA ° i *_u i'a^

ergo hoc casu fit' n v> ^ L "

" ll J - i*-1 fTlO 1 Jl 1, i a jai^v t»ia . V

sit denique 4j\ "i" - X w 7.2.<i)«+Bi^KMrd-:a/«cos.^+/' erit

.H/ IV i JU

w/(cos.£-4-Vi.sm.£) ,

ergo paraticülariter . ' .

: e . o;;;fv.s osfcsl

rra-^. a'± / f-"«=t- i ^?(cos.C/sin.^.&)+1 ,sin.( ßal.lx))

.C: 7^V ! .. HA- ova ^ "

quare integrale completum erit.

* .ii si^ ,;..: n. .'J II! .l!07

j=^Cfl?^ c0 {v Ü«..( /sin^. y) -_ .'.-.Ä

' C O r O 11.I. : - i q '

v,84-8Huius t ergo aequationis : 7 ..x 4- «.»>

i.

.i rfy da; - , fgydx 1

w'-vCs+t*' ÖT+

integrale completum est

- j <x ar*+ (3 a~ e d

, .. !* A _j_Iil .1

K ?S

N r

Huius