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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 20r, page id 00068199:0039
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August 1690
d. dy, 1
Si ponatur V, du adu sete esse progressionis
( = ady. y
ermetricae, adeoque adu = yco et a ddus = dy cd et
C
et a dadus = ddyco. et ita porro; tunc videndim
an ope aequationis dalae differentialis ade
verbi gr. X. Cx + y dy= ydx et
hujus differentialum
ab una
Uit perveniri ad aequationem in qua parte reperatur
e
tantum duae tenmn aisi affectiones infimae ipsius X
ao alterae accedente constante co; ab altem parte
ad supplendam homogenertatis legen; ab altera vero parte
solae  affectiones ipsius y cum constante co
utcunque ita enim possumus ab una quivem parte
ecitur summabilitas secundum X; sed quoad y, possum
ejus affectiones inter Gd invicem permulare pro lubitus
ut hudi prodeant semper duaproximae
ut dax ax cd  coadx = y ddque ddus dus
fiet adx ux co +o dadx = dus3 adus
seu dx a +( dx eo dus ita tandem habebimm
e
e
pure de per du nempe ax + 2co dx +4  du 40 + co
seu dx +c0 =  Y dy +4c02. seu _X +faly: g =49 say savi et
aa