Om intec/ratioiien af de Hermite'ska difffreiitialcqvatioiierna. 419 



Dessa tvänne likheter äro också likbetydande med de trenne likheterna 



i ^ 1 . JaQ. JaO. i«. J ^ 



Aq X^ + Ä^X^ + A. X"^ + A., X + Ai = 



^V) [9(30^3 + 



^' '"'•"- 9M + |,,f _ 8 (1 + /c^)ri- 24 j'o + 24 {I -k' + k') 



27 ■> /4 \ 



-g- /3? + ^{i+k;')ri + (^yo-s (1 + A:*))n-8(1 +k^ro + 



24 (1 - fc^ - Å;* + Ä;"^) 1 



^'^«'^^'*'^^^'" = 9M + |y?-8(l + F)j'.-24;.o+24(l-it^ + )t^)[-^^°^' + 



(ï8 y' - (1 + ^') ^i - 3ro - 24 (1 - A;^ + /c^)) ;iä + 3/3« y^ A^ - 



(l2 ^Vï-(î'o + 5(l-A:HA;0)yi + ye|3f.+ 12(2-3F-3/.-^ + 2fc.«)) A + 



Y2~- ((l+/r)}'i + 3ro-3(l-/c^ + Ä^))(3„ 

 då 



^t = (3o[- -;| + 3 (1 + F)rf + 9 (,'0-4(1 -fc^ + ä;*));^, + ^^^s] 



. y' 4.^n^ ,^ ^4- 15yo-(33 + 47fe^ + 33feO 



32 



[279 



[279 



18 + l^k^ + 15fc' + 18^' 



'] 



rl + 



[- 30 yl + 42 (1 - F + A:^) ^o - | (1 + ^') ^o + 72 (A;^ - 4Ä;* + k')] y, + 

 72 (2 - Sk' - 3k' + 2k') y, - 27 ( ^" - (1 - A;^ + k')) ßl 

 A, = ß,[^~-l{l+ F) yl-\ (21^0-57 + 9F- 57A;*) yl + 



[2i{\ +Jâ)yo'^^t-S6il~k'-k' +k')\y,+ 36yl-36{l-k'+k')yo] 



