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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 184r, page id 00068199:0367
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e
differentio-C.
e
diffefferentialis cujuscunque gradus atsi
= Si sit aequabir in qua absit equ abjecta
e
jam sunt la nequa quae abjicienda sunt eo eo
e quod de constans, seu adx =0. videtur
res non satis determinata, nam ex pluribus
Ediversis aequationibus ista potuit derivari
x. gr. sit aequatio:
0 XXdy X Xddy + a xdx + ydydys
e et singa esse ddu de must posita ax
constante
d
s
licebit ascribere
Fa ddx
posito e
habere relationem quamcunque ad X et dy
des
et facere (2do) Za ddx= XXddu dxdxtydus
 jam mutare hypothesiu, jubereque. ax non
As
utcunaue
tesse constantem sed quancurque.  sed ita
eprofecto non eadem erit curva quaecunque sit,
Et poto sic si Z sit X fiet Xa ddx = XKay+XA
tadx xFydydr. Quae aequatio longe alia ca
quam si sit Za = XX. sed mirum tamen
quod eadem pro ea utraque videtur prodine
series infinita ducta, pro valore ipsius
G ex X posito ex esse constantem. quod
proinde accuratius examinandum,
sane sitiliceret restitutire aequationem
e differentialem determinati progressus, s
eterminata (su termineom scilicet ad differen
ex tiam ad differentialam progressus
din deferminati seu adhuc puram posset
dedmnis data primum reddi determinati
trrogressus deinde in aliam mutari prgo
e prograssus indetemimati. Ex. qr. sit
alaequatio Xa dax = Xxddqe + adxax +ydydus
F et alia Xxdd idem, sequitur absurdum
nam fiet x-a. vide Alioqui esiam
facile foret 2 sumta pro prtitiro, tollere
ejus ope, nc alia praestare