Analisis Numerico

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tt= ?,x -/r *=% ztLci"t= e d"p {.=o t;ó t= -fi Po Sttdt *J -t //L Uq +P p r*' l{: L/ wd, l(e\= 7)'$0, z t fr *&\=t ; lrEt,o) ,h=,1 t/ -/4 i=054 t - u M=-¡1 = g- + í'h. Kt = - 3/,, t'1 gL+o, Kz= ^ F>=- 6J xZf /ü* -7ul r kLyüfww ),Tr,;"í^/'19 "h= b_ a. n Y+ n/z-/ + q|_l(K,o-^) + z" Lf (x,*\ K=l I \"A .1 f{- lwpz¿s (trn,X,) ?*rful r@= *F*, +qltr^y + z.P&,) +ttlu*\*fturJ = *r[nl= * Fr X+=g nÁ/z \Áil )o@u**

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Problemas de Integracion Numerica

Transcript of Analisis Numerico

tt= ?,x -/r *=%

ztLci"t= e d"p {.=o

t;ót= -fi

Po

Sttdt*J-t

//L

Uq

+P

p

r*'l{:L/ wd,

l(e\=

7)'$0,z t

fr*&\=t ; lrEt,o) ,h=,1t/-/4

i=054 t - uM=-¡1= g- + í'h. Kt = - 3/,,

t'1

gL+o,

Kz= ^

F>=-

6J

xZf /ü* -7ul

r kLyüfww

),Tr,;"í^/'19

"h= b_ a.n

Y+ n/z-/

+ q|_l(K,o-^) + z" Lf (x,*\K=l

I \"A .1f{-

lwpz¿s (trn,X,) ?*rful

r@= *F*, +qltr^y + z.P&,) +ttlu*\*fturJ

= *r[nl= * Fr

X+=g

nÁ/z\Áil

)o@u**

Ju* T,&) = l'*('rn*u) dq d,x

*n':, u,ur vJ

Ay*xltrtn ir, I r=&,w=3ll '

q,, m

¡{0, ¿=o ; h

I Yt = a,+;h,v> (/r',i,/

vI

\ 3 o ]".

=!" !(tu(]{LL{ó" 4v-tllrn,- " Z

/u ñ- --;- =/*

,,\ l^lrv i=o ! Y

Ín,, - t(rr\'jL(x';)l'a - ---_-\---4w

,lu"l/a

Y¡=t"A!n=T

l"= u

!n= ry/o

\t=T*T=y-663

3 z=t/z

Ku"/j\=T<l@\-

lhr.i= O 3 i/t \a '5

iv| 5, = /\)"(P') +¿ ltlLwd,

Ij

L*r,C"

,1n,, =4 x'¿

."J 3Jo=o

,In = t/q

ür= fr/L

Yt l/

4=T,nq={¿Jb 4

u -ttr,j"- I1u=A

Y'?"// So t cs

Jn,a=! 1^ =!-,J 3 '¿"--$

Ko//

lU"',y) = ry L+tr,vo) r ztfu",yn)+ ,((v,, ),) r \fu,,y.)]

t(v',\) = ryV@,Y")

+ zN(vn,tn\ +rY$.^,'lu) r !(v^, vJJ

Kr/1

l(v",r\ = ryUU,-,yo) +zl(x,,\n)+ t((y,,y,) r {(y,,y"ü

=) Í,(f) = ryfrWll+ zF(Yt,l) + F(y",, )]

T \qt) : I "s3L{ } Llq3Tb¡q'{ b

x3.b/7"s63b49fLT

\x s.bqba"A?r+g+76

X¡/

F [vr,t)

T (To,1

)r,x= q

Tnf+)= ah6 fot,Bs1b+sl

= j)h\(ü

'Yefo,rt)r |

(o) ="t

y(a) = -/

^X'

+(Y)=( ,yg)=¡*n(x)

t= -/ ¡b,nJ ¡Tt = Iv=A t

y'q=o

K¡=lfX, =

z/f

Ls-- >/5

Y,f ='l/s{s=y'

,lu"t"'toxl vr:u S,ktuwa,ú

-br LiqU-^lU,

.bt,r,"*,n-r\ + Np

trcr) ¡-

Um,"Ca & *uArJn ¿Ldüü,t-ar6

Jtntto-s @n {I=€

?",'lt" J,,= pcx[, *+&)-X * rk)

J(c') =ur J(d:fr

Nywt r,a

*$-u\)r= L"

5 ^"(m)

f#ot ¿=o :5

{ r;= cu tihL*r&,

+ (n- + r tul !,= h'vo;, -( + ! ntx^lo,

^-brh+(r;r)r- rU Epg.t)yu, = h"r(r,)

(r + * p&--^)Y,-. -fr + hW"))y, ^ =ffv(n,\ _(, - * rtn"r)y

q0ñ -- 0.bAút3o+l-3-t?A'n)= o" q?51Lt1ZÚq

p(x,) =o "TS + 5 +5+s Q&r\ : o- 6 +o3Loo4 6

flLfü:0'51bb\l|b3EUü: o" Q qq\2b16?(Yu)

--o'5&Á3qí34&

7&ü = o'*3bf16E1A

YCrn): Ü"dqb66q330

VA"\: o'3e1q/83qey(ra) = o.s 6q64Lq+3Ykq ) = O" +/ +3 S bAqo

A,r**r,,/a & *,"t*o {wswns

- l.c 3L\q1La 3, r a"10+|.{Ó }Ll Ü +a 3r= - l 'aÚqbqí4l

A,0\5+5 +S l^ - 2"A2b8A ¿b'A Hr+

A^l|',lzqLqL 3u=0,at

f5+b+53

t "os\r¡3qfi ¿{ I 3r- 2'oZlots 2qAS 3+o'111t(0ÓqbJn

= 0'aZZ5&5b1

/.ot{ bb5q6¿rq !u- 2,ül+1+3AtA2r= Q.qüqúLtsq 1

tlu*I,,,lr*fo ,)" *Eb'na te^'wt:

3¡X 0"b65Á5aba45

2rX 0-Lqq7 zb6r+b

\sY-*a'An^A/466q

}ux ' a'sqsq s+bb8s z

r,li

/-> I'Y,wlvw

¡ {,,

OlJ" ¡I

d,'t

b"qf" earoü*íL &{^FZdltL >-? .

ry > - / 't a.X¿A ", 0+¿.rt

¡t(o,r) * o Alrv\=san]¿@ /t!/r6¡)n(Y,o)= x U-") "u(w,ú = y(t-x)

^ ey:tu** h,/, HenúWX

lq

I

lt¡{uÁ/z'

Aa,

&ax

,q/ro)=Xü-f) ,ü6¡\=Ml"@.,{trU\

ói. - ,ar,jtf- ;%,frY.-

ttry __ ¿u¿t¡- **b"tj4¿¿vdU" hqn

1J

JJüri - Z,L(,ii + j,t"¿nnj + &ro_ z/l"t. rrtl,. .T '- a -';:A--,t""ilr4

=- /Vtx hY'

I rc /**i.i" - zLll¡ ¡ I b /k,{ t qAü-^ - rt B,ttA. 14 /,Liu = - z

lb'rtt'nj - so,lj +tb"thU +4./ü'u i 1/tg.* -_ - Lo

'=4 tL," " .,fr-y' \ 3,"- ¡ 'a ¡()'/'tül'"-l'Wy' .V L

r)

.J-^l \ Att\=Z* i=/ J'ho-- /-Q|-F) = q tA t

* lo'--:* uo ,.-r/ 6

",&"; - Soltr¡ *A b "tL*r+ q/,UL +1frt^= * Zi'

@ = SCA¡ +l bltur +lrIL¡" = -3"6ü+b

*wI b lfr¡ - SoAe¡ +/ 6Az¡ t- 1 p,m t 1/"2* -- - L.

f ; \ ¡(¡1'L,/)rn= yQvrc) =LTLZJ=\

@ 4 tr}l^- 5ü,üu + A6 AsA + 1,thz = - 4,LS+ ü=3

,¡*1Av+1,ÁÁzz-=*L\

''-:="

Á 6 ,tLu - 5O/1u +16 4*rU,f)=prk@*16

""4A,o) = ZH= ft/A,t'tn -,SO/-Ls¡ t4,/lur= * ;,63-+A45zb6q

l- o

d- ú"

* c=',t

Ab ,,t Gr - fj"t lr,z +Ab *Lzr t I ,L1,,¡ +4 Anu >- /-

t1,o ^lrlr,A)= +(+)-('t' ¿l\q/

(,lt - 2/(y - lOrun. */6¿eoz ¡ 11Ju = _lo6b+; - "/A0

4n L=L

n 6,Lü z - 5O jt+, */ 6 lJsz + l rLLu t ]fiu > _ Zf-,

IA

r,," l-Wz¡r)=+(+)=+@ /l 6 r,Ln, _ fArLbz t_tl 6 y'tzz * lrllz,,t = _ q

"Z S.9

l" c:3

/ b )Ln _SO,úuz +/ 6^,ltrr- + 1 Jls¡ t 4 /Lza = _ LlL(r,il=yhfu)pwp-g{ \ ¡ \-""\ 3 ) A&,n)= tr&l= frt:,

@ /1b,/1zz -lo,l.L"e +4¡.rat =_

_/6a,M 4rL66

Al g'Q'^"{oe,,u ,l *t*rw Á* 6 eú¡ad^E,a, ,l {a j,x*g"

l-"o q /ú a c

(^;;^'i; ! :, I\W\={:¡,T'_\\ ; ;; ; 'Íu I rrJ{*:)={:!,iy!:' t\ o o o /6 I -sol \;i"l \:;:{^ts/

L }b F bgNSrs\rl )l ll lt \l\bb\\NSSF>'-*$ssss¡t t¿ tt l?F

-.f-f.)X)=\r:sE"tri--r * -c3?$ ;; 3 RNU\ \t \,ñ ts r.lO -f -^e \¡) t\+J#iJTJ-P-aqq

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ll(b.--'r\r¡¡1\.-*tP--

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