von der Integration der linearen Gleichungen. 61 



daher iindet man nach §. 2. 



Q = A + (A t - Aa)x + (J l — A,a-i- Aa' 1 ) .r 2 + ( A,- A,a+ A , a' - Aa i )x'+...- 

 Q, = 'A + ('-•/, - l Aa) X + QJi - , A i a+ '.-/«-) .r- + {' A , - 'A,a+ ' A , a 2 - ' A a*) x> + .... 

 Q 2 = x A + ( 2 A, - 2 Aa) x + ("-A . - 2 A, a + l Aa ) x"- + ( Z A S - -A 2 a+ l A,a"- - "-Aa l ) x' +.■■■ 



n. s. w. Hieraus folct 



A .+. ( A t — A a) x -t- (A 2 — .7, a -+- .Jn ! ) x 2 > \ 

 -I- ( 7, — A, a -+- A l a 1 — A a 1 ) .r 1 -+- 



(I) 



l'J -h ('./, - 'A a) x -+- (',-/, - './, a -+- '.•/ a 2 ) x" 



-+- ('./, - l A s a -h V/, «- - >A a') x 3 -+- ] y 



[*A ■+■ (-./, - *Aa) x -+- ( 2 ./, — -'./, a -+- *J a 1 ) x 2 



+ (-\/, _ *A t a -+- i A l a 1 - -i a 3 ) x 3 + ] y 2 



[•../ + ('./, _ \ia) x + (\7, - >A, a -+- \4 a") x* 



-+- ( 3 ■/., - \4 2 a -f- \-/, a- - ' A a 3 ) x 3 -+- J .) 



Zur Entwickelung der Funkzion 



by 



seize man a — in 



(II) 



^. 3 oder c = in §.5, so wird 



-"G r = m A, — —'A r b + m --J r h- ——*J r b 3 -+- ±..A r b n 



Hiernach die Wcrdie Q, Q t , Q 2 heslimmt, so erhall man 



A -+- /, x+ A a x 2 -+- ./, x 3 +Ai x" + l b x b -hA t x* 



+ A 1 x 1 -+- 



{ -t-['A - Ab + ('.-/, - A t b) x ■+- {'A., - Anb) x? 



-h (' ./, - A*b) x 3 ■+- (' /, - A t b) x* h- ] y 



. [ = .-/ _ ',//, + Ab 2 -+- ('-/, - '-/, b H- --/, b") x 



-i- [-A, — 'A.b -+- A.b-) x- -H J y*\ 



. [\/ _ -Ab + ' lb 1 - Ab 3 ■+- (\I, - -'./, b-h './, b" 

 -A t b 3 ) x -+■ j y'\ 



'-f- ['A — 'Ab + - ib 2 — 'Ab 3 -h 1 b< -h {'A, — 3 A, b 

 -h - l t b- - 'A,b 3 + Atb") x -f- ] y" 



I -+- by 



