Full text: welcher die Differential-Rechnung enthält (Erster Theil)

504 Dreizehnter Abschnitt, 
p —Ap 
=P 
— dp.t 4- d*pj* — 
- d*p< r* 4- re. 
dx 
1,2-dx* 
1.2.3.4x^ 
-4 
d qj 4“ d~ q.t 1 — 
- 4, 
dx 
1.2.4 X* 
i.2»^Jx 3 
und so weiter, 
oder da 
= *y 
; ddp 
— d l y rc. 
¿x 
dx' 
dx' 
dx s 
dq 
=. 
; ¿*4 
= 4 4 ^/ 4" rr. 
dx 
dx x 
dx 2 
dx* 
dv 
== ^ 
; ^ r 
0 
^ 1 
11 
dx 
dx 4 
dx' 
dx* 
so wird, wenn man gehörig snbsiiknirk 
S — ----- - (/* + ßf<j H —yfir” + ;c.) 
a* ; — , * 
— ^ — Ct'd'ya? 4- 
ä £ —i (<**—i)dx (a*—*i)dx x (u*—i)dx* 
— E t*d*ya* -{“ Yfd'ya? — rc. 
(V— x) dx* (a*— i) dx $ 
und die Coefficienken L, C rc. werden dadurch be- 
siimt, daß 
B — i -f- (L 
C = — 1 tt “j“ ß 
V = I + fa+_J_+ y 
12.Z ' I 
E= i -}* 1 + 
1.2.3.4 I.2.3 1*3 1 
f — I 4- 1 a + i ß 4~ 1 y + i+£ 
1.2.3.4.5 1.2.3.4 1.T3 TT T 
G — i 4~ g + ß 4- Y + ^+ g ~f£ 
r 2 Z 4.5.§ 12.3 4.5 1.2,3.4 1.2.3 1,2 1 
oder
	        
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