C A P V T VI.

47 §

Ponatur x—pp et yrzqq , atque aequationostra generalis induet posito Azz.o , hanc formam

_ it _—4- ii _—o

Dp+n-Ep*} 1 ±V(iB+a/,/-+-2a/ + -<.£. i 4 ; —

Fieri ergo oportet B ~\a\ C = o; D—o et EYnde coefficientes ita determinantur :

aa\ (3 ~ a M ,* y.”-MM

t~zab\ JrrMM

et A —M *~\~aab ;

ergo integrale completum

a M F M M.pp -F 2 a bp* + q q (■- M M 4- 4 abpp-t\bUp*)z:

4 - zpV (M*-f -aab)[a-\-bp*)siue

aM + MM.q<$-{‘ 2 abq*-\-pp(~M. M 4 - 4 ct^+ 4 ^M/)r: •

+ 2 q V [ M *'-\-a a b) (a + bq*).

■-TT* Corollarium.

7

6Z4.. 81 sumatur constans M = — Vaab,\tsit M 3 -\-aab"o , prodibit integrale particulare,quod ita fe habebit:

pp~. J JLt b . ±Jt ' y g. sell qq — ^+J,y y»

aqqjb — i/a spp^b—$Q

quod aequationi differentiati Ytique satisfacit.

Proble-