{ wth 139 L2 .' ODE P/,r.. S"pat-c.L/e d !efc rrcf,'ora r 41o.r'u Res'+(t i i. ftar"P/e.l Qz)
{ :eP:gue ODE Dcf r ,lR.+R, 1,, 6.va\ lqr.tiort ,ahh ,!. 1'v! ODE lhe .'i ae b SdFara YrlR+/( l. r r'lf oDc- lh.' thP for*' (y) l'lt1 a xft) Y'ft\ -- | t t, trtl) o0E t Rer.rrh 4. t/P sPF\ i'l ,'{f Ytltt rll \tt1 A(y)
.4. rn lec t( Q r lVot.ltg't r l'ft\ , o - 7(t) + A(y) t, l(t; , ?axfbook r I. ,\ (xt + N(Y) ta), x, l'ftt -- a fhrr I f.. p r v'* -Alil A(y) . N (t) I i
{ i t-l:lPfg (rt Y' = l' tr.. t?prrc.6/a, ea ,3 t - l, l:2L::1 Itrtt. t'l ll y' + y^ cos (2) (zt) rl seprr'*Vc, ll ae Yt.. - y'coslzt) l.r; ."r r.rl I :af -- - Aty) - I Frnc f,'ur.r I 4t t'?u t.' Reqv 7, A -- .^ I , lt^trt=-ts tl'l r.'r | I
\ rs s ef.-r". blc : evPrY oDE r ,Vot . frgP4 it Alot sevc'r'L(P. Y t 4t 0) - 1, l': t (2) - c.AJ y + b(t) (kte* oDr) .I'. fh saF4re.b4.. ttt wf b( ,! +o x RPuncch I l-l | (rc.r aDE v.o) r|l [ lY''-^rrt t'l s.'t ?e ldP..r\b/e , s' i Y' - - \/r) , f - ^r't lrr'r= U\ l, l^,rr.
.(. .tq (f f ,lilo,t'r^ lR qip A : R-D r I i Thrr,". f,.r.cf,r,,3 X, !' fi'qgaut with so Priv\ltrrct 6 t H, thl.l rrl re1pe.ttvell I t,\ : ,-@,1 IH'(4) lo'n>.|tt)f, o0D' /LP scprrcb/e thah, Ytttt . r, f ,''.r' rr'*i/ l'e /y lc{wf, or l, .l*t t,: f2 r'r3 s,r ft e Cll rr- fre5 b Il(var\ a 6(t\ w.'t\ a c lR c,r lc,'lr*r/. 7, L, r r Ra*(. h. r f ,'r' d lher Pri hih'v?t a, #.
-{ i A-)..P& , F,rJ OD E' fc -( tz /'nt -- t - ytftl se(r t2 (- /' /') " => t' aft) z 4-c g h (,a) , | - ul yttl lh q' s. f,'r f ' er f4a 43. There sc/. fort, y"ft) .3 Y(t\ - c qlR pC -t t (1) ytt\ f Tro ,"l"tr.,r ? l.rah atr \ce I iv,ptet t { ctu,r. v' (L) . &e'.,r.h.' rV Ao 4Fp e4. I
(t c. tsov .u Ver, Pertv*te Reb\rh. r i cl (t), s*let botL tcrl -- !f a ylft) - ! Y'lt) l l') Y '/r1 (-
c v the I hrw, : r Pc"of { A ( l(tt) 7ft| Sa!. a P Y'(t\ r o{tlle" r, h", lt' /ai by a. eowg ther p futf, = !", Jr y(tt ) yt(tl J t It\ olt c ? (tt I ,eLs ra3 Y Per{orrn the f, f r. h'ou ,. *^=Y '/r) olt .Ir Atlt ttl "lt c Jq f -- H ta\ 6ltl +e . y(?l S,r t^ b: 6' lufp b*r h 'ft (vo) F
{ etr. ?or ."e S6';rr-*L/e r IYP s.*tpl" 6 rJe tvP rh? &14 ., t"/. (t) t2 I'rrl t - y'nl 'l'"\ . t lz) At( <otu t" tt o" t &) se f,r fy fhr a3, So(; tnt /t Tft) . + c 3 ) P (t'et The & 1,"u r'hcfr *( cor lz) t'u^ - tr") Y/o) +3 I s> f =. -* Inp t/.. r'f
( t F-1gp!9 t EVP the Sc( F.'\.J "* l'lrt s l'1s1 .o! (zl) . o (t) (zl Itu) . t s"(.' 19. 0) S"fqr\ Llt , a.\c c t! J- lt ccs(zf) 'l' ) v' lc.' cor 6ft\. - fat ) z S&(2t) 1ft) --- l. ,f, rul (,rl t .=> I H -L u " al ?l . (, tf. s\ t("t fy o{ ll. !olr fr'o\r /ll e clR tor-r Ta?ttcit
t 3ch aa t) -^C lut 2 L Jclu tr'cr )l/r) _- t I'lr 4( ? t..' t 5,r (et) - lc The iv. p d'es Ito).t a t. Yb) €---l .s) s-! e e - 2a ex?ha.'l 1..,r, (et) + I S.r.
<. ,VP tte { f, *yfJP ' ol y'/t\ 2- t (t ) tfY4) (z) Yt") . So(.' 81. (t r'! * l, r,a S. P\ e wtfh lln''=,', I t..r'l'rl/lj .\i-a ,' Th(:r'r PFa - ta 1/t): r-- t 6lt\ : zt a * qa H(u) . ,l t,.) . t+ c -1 !r; .f 1r) s-/rr fy At{ s.rr. thP et. Yttl 1 yrtt) Lt - t c clN le L rr-
i fr *1 lto) . t The r'r, tvPh,Ct Ylct /{") + +c O-O 2 t*t ,. T herelore r y'nt yftl - ,r r 2f *l 2 I e Tttv'. t.' t ty Irlr) r r y1r) - !r + 9t + 3 f o n. SpBt
<t ? c, lle ro/s o\, tr. f, be Sa!,.t 6'te t t i er pfi.,'t ?c r-oeI o* Yft\ tt c pc12rrou,rt'a(. the ''i /!ft) . -.:y ,t - tt ( t'- qt -tl a + V,-tt'-+t-tj- -l (d tt1 Y, Y- osj t lc. /.' f. ei P
( ra. l* lt1 t Owty fr'r f,'pr fhe ,\, t\u ac n .lt ffoli i : ,/ i ,t/o). -r*Vf : -3 Y-(o) . -t -t/V ig T.h Sor/t &'ora a -l + V't2+al +j Ytt) '' Fx r.lr cc I torw,
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