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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 22r, page id 00068051:0043
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10 dX + y =0
dequationes differentrales simul tractabiles et homocoptota
eextx + 3oytq pDXd + +BIXyd =
ly
e
dy
ax
a ay
si aequatio data reduci et ad trctabilem potes etiam reduci ad Tractabitem homveoplotam
A
sed praestat adhibere Eifferent ales homvevatolas non linctabiles non homoeoldas eusque
rauter in homoeoptitis inractabiles datis identificabiles
1eo dx + 200d =0 110Xdx + groydu + 120VZ + d =0 RnOXZ + M120  +BX
at  _F
HC
e
210Zax
3
X
XG
20 pag
Geo +810 X +SI1 Xy 4G20 XX +521 Xy 4630X) +Suxy +5iXy 1940 X e
s
400 + 41 X LAH Xy M
sec + 510 X + SIIX et
7
pGs
107 dq + vlo = 120 bdue -
2107d0
t
o de
200 0d8
d0= 2, 0dx + s1V des +2. froxdx + G214) dxi212
au
& dy
sumliter AB et d9 pro5 ponendo n
10 de +200 dv fit 100CdD F1 = 100DdO = 0
et
3uel 4
110dOa (-1105Dd0 + 22080d9-98d0
e
220 
2 28. 1100418 +2d081 210 07 de
1201 D
e1C
d
y dy
2b 12090 d D = 1209D d0 + 2100049821088 d0
10OD+5 = 10 DDdD 100D4D ++20019 + 12099 dD
20
d
220dp 2d dyriox 2n eudo
300 + 310X + 3IIXy + 320XX + 321X y F 330X + 322XY +331Xy +340X, etc
In = OdD = DdO, : C0 dv = 3d8 - 5d0,: 90
Hinc ex cg.
220 van
e
a
a
Sox
e