236 
beet. == odd 
‘ i Pn'+1 t | 
ty = C, sin n'a, ert + C, sin bn! 4-2) erst +... + Co sin 4(2n’—l) w.e ? 
2 
Po-it 
4 A aye ae ! . 1 n a 2 ‘s 5 ; on — 1 —- 
niin! gn'—1)a-ep + C,sin(4n'-1) ——av.. erat +. + Cyisin(4n'-1)——_re ? 
n : n 
| n'+2 Pu'+it (15d) 
tn’ —2—=1, = sin( in! Zar. ert + Cysin(kn'—2) 
2n'-1 
ROPE +... Cy isin(gn'- Bhar ne 
n — 
2 
ie Oe 
Pat 
n +2 _ 2n'-l Pr 
PdC isin ——m.e ? 
n' n 
3 
240 si ay eee 
C ‚sint .erit + C‚sind 
ee ge 
2 2 2 
_ The circuit of the index n is evidently the one, in which at the 
instant {== 0) the original current has been stopped. 
Introducing the initial conditions 
EO 0 Mm nig 
Inn 
Le 
ery =d 
we obtain the following set of linear equations determining the 
constants C, 
nm = even: 
4 
C, cos tnx 
+ C, cos 
wie 
. + Cy+2 cos nx 
2 
; 2 
C, cos(4n—l)w + C, corina +... + Cy42¢08(4n—1)227=—0 
2 
~ | ts 
n+2 
C’, cos (4n—2) a + C, cos (4n—2) 
wt... t Ostara ba) 
2 ; 
CG, cos + C,cos oe x + ...+ Cre cos 2a == 
p= Ees 
C’, cos 0 + C,cos 0 
2 
+..+ C42 cos 0 
2 
