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2 (1769) Methodus inveniendi functiones unius variabilis ex data relatione differentialium secundi altiorisve gradus / auctore Leonhardo Eulero
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C A P V T V.

Quare si ponämus 1t , erit

t , erit

(3.

** X x n dxj

P'Xdx

Coroll. i. ' *

87§. Si fumatur y ~ o ^et r rr 6

^ (3 , (3(aX) F et (X-a)(Xi )~o , hinc

Xt , et £(a i)ß, ideoque

Qzr(a i)(3^r 71 1 /et aequationis ' ~ '

ddy-\-{l : \-$x n )dxdy^r-(ct. i)$x n -'y dx* Xdx*multiplicator Vr^^* existente y~ l x -\-ßx n ita Ytsic

,/P d x

Vzzxe n ~ i ~

x*e n ~+~

:>

Coroll. 2.

877. Hoc ergo casu posito t erit

integrale :

j>zzx 1 ~ a sx a ~ i e~~ ßl dxsePjXxdx - ? ..

quae forma simplicius exhiberi nequit proptereaquod in genere formula e~^ t x ct ~ 2 dx integrationemnon admittit.

Scholion.