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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 2r, page id 00068051:0003
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mo non nondum spes deserit, sufficit enim equationem ractam
ex 30 + 3 8 +32 et compositam cum cam aequatione differentiali
ex datis producta, fieri talem, ut dividi queat per aliam
ege in qua solum extent dx du, ddx, day: quo ob tento
haberetur quasitum. Et hoc tentandum est in homveontus si
quia facilior longe per eam fit calculus. Ex9. dataeral aequ. a = 10Xa r uxdus
p. habemus ( H10 Aeit 10 d X + 10 Xdy ddx - 182 X de ddy = 0
1
idx
unde tollendo ad fit
+11.
Assumatur 30 + 71= 0 siu 50 dco + 31 aodaEt sit Co = Xty fiet deo = x+ ay c1 co x  asty tatus
2II. 
et alco= ddxddy Et  Het 30 dx + 2. 30 dxdy + 31 Xddx + 31 Xddys =0
se multiplicebur s haec 6qu per ax + dy. Pradit (8 30 dx +3, 30dX dy + 31 Xdx llx + 31 Xdx dly +. 31 Nys lx
eddantur in unum aequ. 2 et 8. d fet aequ (9.)  quae ut dividi possit
per quo oporteret tolli posse dedu et dx; adeoque fiere non
et fieret 11 =0 itqe eo caso res procedet. Sed non qu von
generaliter
Ergo soco aequationis 3 assumumus sic: 30 deo t + 31 coco ddeo +32cod = sit tursus
Co res duo ex c do dx + 2dxdus et dlco = ddx. Ex 1x aqu 3. per 7 5. 6. 7.
fiet et deo = dx 16d de dx +4 dx du +6dx du et cod et Co ddco = X dix + x ddus
et
et co ddco deo = x X dx ddx + x tus ddx + xax dy + Xdus ddy + 2X dx dyddx + Excily ddus
et co ddco = x dx + 2X y ddx ddy + x actus _  + 2X dx ddy + 2xycax
Ergo ex aeg. 3 substitu
et substitulis valoribus fit
5 30 dp F + 4 x dys +bdx d) + 31 XaX asxr 3xdi alus 131 Noqu dy dix 3 ptuly l,   ps i de
on aeg. 2. mulliplicetur per ex +dudes et additis inter se aqu. 5 et 4, fit
+ 32XF 32X ,YY lX xa ddus + EX adX
aq. 6. q qua reodenda est divisibilis per aeq. in qua a absit Xet y,
quae erit coposila ex solis dx, q0. dx dax + 4t dx adue 41 d Xdy ddx + 42 dx ddus agtitrariurma
40dX dax + 41 dx ddus in Sed video nos sufficientem nunceum
non habituros.
ia tgu-
pa
C
sit C=
seu
22Fyy,
12
codv- vdio
resaque Zeco
co = _coco, codn- vdco
e
et
fet aq-