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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 14
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Nanc aequationem differentialem calculo in omnem partem versavi
donec solutionem tali methodo reperi qua nunquam antea usus eram
licet seriebus infinitis, quibus ad eam perdeni, dudum essem usus.
Laequ l+ mt nXX = PX + qX et
y aequ l+ mx + nXX + pX + 4Y
Sy aequid
5.
d+
t axxaqud
2
aequ
Avuds
de
b
Y 2
i
 a E. 5 7. 2 
ponatui
tY
oyy aequ llabux tnXX + alpXt Elg d tlX
aequationem
t totam qu itatem
tmm. Emn. Emp. 2mg.
D
et
lxX + MX+ LnX+  pX etc
aXX
ec
e
nn  2np
faciendo identicam,
EEdIta ut _ indeterminata X in ea evanescat,
etc
etc
et
6
fiet. laequ. 0. maequ et quidem si alesset
litera a eu quantitas L axx. liceret omnes
literas ponere aequales nihilo, servata sula litera n
et fieret n aequ 17
selu, y aequ. Xxsi et
y aequ Le Xxs et rediget
2b5 baequ2  et 2b
 haberetur hac melhodo parabola
si solum
idem methodo insistendo feliciter evenire ut
exomnes literae possint poni aequales nihilo, demtis
et n nam ponendo maego tea quaerendo
n, (posita laequ.0) per gradum X, oritur aequa
tro comparatitia= m aequ 2bmn. seu n aegu.
12b
t in grane X Caeteris destructis fit in aequ. bnn seu cursus naequ.
sen yaeguXFXX
faciemus V aequ X 1ab +, B XX, quae aequarin satis-
faciet quaeo. Itaque curva AGC. rursus parabola erit, sed
verum C non erit curvae vertex AB tamen, ut ante ejus
caxi pardaca erit, ded autem curvae ex his non erit
difficilis Htic ergo rurtus ususe sum illo artificio inveniendi alme alias annotato
uplilis methone. Nempu si problema difficile aliqua meclodo quae
xba aequ. 
siqae supra
pondus habis consideraretur. Sed quia
Cob onque simpocitum
12b
2+
de
et
C
e
e
Ld
at
a
e
dE
ee
5
a c
a
e
e
5
itaque
et
e