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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 44r, page id 00068198:0087
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um
21
sit aequatius data differentialis resolvenda, veluti du- yy+ , +20.
qum
y2YG4 +3C
20
er
sed videta putamsumi potest aquatio
e
 putavi
 2t et fiet
ter aeliberi d assumi aliam diferentralem p
mmama
e
stenaria
velut a + y + nyy + y+ 10 et differentiatis ea dedu ola (3
0
quan priori modi fit nempe 1. unde fiet nova aequatio (9) ordnaria, coincidentiandu
seu quia putam aliavando plures nos arbitiarias habituros
ex
est aequatroui c3.
si assumeremus aliam discerentialem, velut P109 f  1IH Y + 11du + 12
il
1e
_ + 00 X 10 y + O1 dy + 2 11ydy + 20 9y  =0. unde pro dys ponendo valorem
Ex priore fret 00 + 107
01. 20 + ol. 21y _
+ 11 109
F0l.2279
= 1121 9y
+
20 42
L W1 221
3
 sed licet in quae aequatio nova jam esset drferentianda, et
O
fractanda ut pruns voluius
sed video etsi plures habearmus
Fhactare aequationem .+y + c.994. y4 .
C
lterap arbararias e0, 10, 01, 11, 20, eas tamen reduci ad q tot quot 
aequalio dicta. . t. y +. yy+ G+ 3. Y. Nam 00 +01. 20 faciendo 3d
u
edisset
et 10+01. 21F V. 20= 3
et W W o1 224+ 8 I1. 21 f 20 = 32, et 11. 22 = 33 paret perinde rem esse ac
a assensissemu statim
30+ 31y+32yy+332
e
proinde plures arbit iurae prosunt