>U^ ) 10 ( 



:<w 



His igitur coefRcientibus nihilo aeqnatis, pro incognitis 

 ^, iKj y, ^ fequentes obtinebimus valores: 



X — (3'-|-y'4-4; Vr=-p; V =: -y; 



fji. ir (3' v" - (3" y' -i- 2 |3' H- 2 y" 4- g' + ^" 4- 2 ; 



[jl/ — j3" y - (3 v" - 2 p - e ; 



v = y"e'-yi e" -j- (3' <" - P" ^' -4- j3' y" - P" V' i 

 V' = y t" - y" e H- (3'' <^ - p ^" + |3" y - (3 y"; 

 y//— ^/ e _ y £/ _^ p <^y _ (3' ^ H_ p y _ (3' y ; 



e rz e' <" - e" <^', ^'=.,"^-e^", g" zz e ^' -.e' ^: 



Et heic quidem facile liquet. difquifitionem pro cafu prae- 

 fenti co ipfo aliquanto difficiliorem euadere, quod va- 

 Inres X, {j. cum iftis, X', X", fji.', |x", non prorfus in pari 

 fint ratione , qnippe quum A et jjl numeros quoque abfo- 

 lutos inuoluant. 



§. I r. Aequationis differentialis fola difTerenrialia 

 ipf us y inuoluentis indoles , quum lequeud fchemate re- 

 praefentetur : 



x^d^y x^ d^ y x^d*y 



•4- X -f8-fa + X 124-4« + ^ 



+ X(6-fa)4-fA. 



+ X'a' + X"a" 



x"* d dy 



4- |JL (2 + 2 a + 5} 

 + K (2 -j- a) -H f 

 4 fjL'(2a' + 6')4)^'a' 

 H-fJ«."(2a"4a"j+KV' 



+ X (6 + 3 a + 5) 

 + fj. (4 + a) + 1/ 

 + A'(3a'+^') + |UL'a' 

 + X"(3a''+^") + tJL"a" 



X d y y 



+ v(a + 5)+^a +^5 

 + V' (a' + 5') + ?' a' +^^5' 



+ /'(^"+3"; + ^"^" +g"a" 



<"ubfti- 



