G A> P V T L

L 95

r) Sit m<^a seu wrracosa erit

r 4 II I A rv U 6"-E -

/ ‘ —■ 2 u soj.' a u u — sin. a ^^8' tSUg. ,_ u CJ j i a

vnde

. , . , eo/, a A . n fw.«

/ar V (l — mu + uu )—G //n. a Ang» tang», — ltoo/.«

seu IV (xx-mxy+yy)-C— j^r a Ang,tang. jr^/.«*

3) Sit 2 erit s { ~T? = , hincque

/*(i—«JnC~T~ seu /(.r—y) —B —

Exemptum 2.

/ 412. Proposita aequatione differentiati homogenes

dx(rtx+(3yj — dy(y x-h$y) eius integrale imeriirc.

Posito y~ux erit udx-\-xdu~dx. ideoquc

dx du( y + £ «) du< ^u^'y-'s'+dui^y-^-l^)

x a.- i r-ßii-yu-<) uu~~ ct-v-(p — yju-d uu

Tnde integrando

lx-C-IV(a.+{ß-y)u-$uu)-{-l'ß+y)s ^ d _? )l ; 3 Z i

Tbi iidem casus, qui ante, sunt considerandi , proutscilicet denominator ct-|-( (3 — y )u— $ uu vel duo§factores habet reales et inaequales, vel aequales, veiimaginarios»

' V

Exem-

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