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4p=-3p-8p + 4 2p=-5p ---y->+--"~

4p-+3p -8p-

- I 2--1

-{/iH--To--{/2

p=(x -) x = xo+ph. 1/() 4.32, 2, -\, , ] 2 , , , D .

4.32.

() , . ( = 0) (. . 4.1). =.

/(, JC2, .... ) , : jiepeMCHHbix ( ) .

f{xi, 2..... ) ,.

100 110

10 PRINT /

20 PRINTN=3-5

30 PRINT s PRINT"

40 INPUT X0=W!INPUT =

50 INPUT =

60 IF N=3 GOTO 100

re IF N=4 GOTO 110

80 IF N=5 GOTO 120

INPUT N=N:GOTO 66 INPUTBBEAHTE V-l, VO, VI A, B..C:GOTO 130 INPUT V-bVO/VI/V2A,B.-C.,IisGOTO 130 INPUT V-1V- V0, V1V2 .» , , .. E INPUTBBEAHTE :»:=Xs LETF-tX-MVH 140 IF N=4 GOTO 180 150 IF N=5 GOTO 210 160 LETF=<;CP-.5>-2+<;+. SwO/H 170 PRINTDVVDy,= F: GOTO 130

180 LETF= t - *-6+ ) -+ < -4- l)wBy2>

190 =<;-<-->+<*-*>

200 LETF=*;F+E)/-H:G0T0 170

210 LETF= ( < < -3 ) -1 > +1 ) *>--12

220 1£=-«;<;(4-3>-8>+4>--6

230 =+<-5)/-

240 LETF=F-<;< <;4+3>-8>-4>-6 250 LETF=F+< ( (2+3>--1 >.1 260 LETF=F>-H:G0T0 178: END

" p. {) = 0,51 (), ,vii = 0,5 / = 0,02 1:-} = = 0,35889029. , = 0,35553253, = = 0,35206533, 4(1=0,34849251 ;2 = 0,344818. , (0,51)= = -0,1786491875.

2, ....

.V(.V..Vo, ...:.v) =

.V., + ... +

,

4.1

( )

</=(!/-!/-)/2 y"={y,-2yo+y-i)/h

-AV /12

y=.(-y2 + 8y,-8yLt+y-2)/\2h

v"=(- >216v 1 - 30 vo-F16v , - V 2)/12ft

.V" = CV2-2.v, --2.v , -{/ 2)/2ft=

{/ = (.V3-9v2 + 45vi -45v-, -(-9v 2-{/ 3)/60A

V" = (2(/3 - 27.Vj.-- 270v, - 490.% + 270.v , - 27.v 2 -I- 2(/ :,) /1

.V" = (- .V3 + 8(/2 - 13.V, 13.V , - 8v 2 + .V- )/8

7 ft v/120



df/dxi jc,. 1

-. (4.24)

dXi/x,. Axi/Xi

() Axi/Xio:

/ ..

(, Axi -, ,

f{xi, 2.....) .

1. ,. , .... {1) xw, , .

2. = .

3. 2, .... N.

1=(-2), ( - ).....

(-,( + 2) ( 5 ) Xi,

f(xi. 2.....), \.2~-2,

/ 1=1/ ....., /2=1/8-

)(1)(, f"(xm)=y"(xia), f"{Xif,)=y"{xm) . 4.1 Si (4.24) .

4. 2 ( ).

yV=l S f{x).

4.33.

. - i{x)=f{x) = - " /-\l2n =0,5. f {) :=(1) 400. . = 0,001,

D1F/DX1 = -1,760326635- ",

D2F/DX2= -2,640406667- ",

D3F/DX3 = 4,845-10-,

S=-2,500000002 .10-,

F(XI0)=3,3520653268-10.

f(xo):

. dx

= -0,1760326633,

i-=-0,2640489951,

-=.= 0,48408982, .

/(xc)=0,3520653267.

, , , Axi - h, p=Axi/Xio. . 3 (:,( -2,(1), (-), .... (Xi»-\-2pxia). ,

S,==(dUldxi)lp.

4.34.

, 4.33 ( = 0,002 ).

7 .

10 PRINT 20 PRINT 30 PRINT F<XI) / 40 PRINTS - 400 50 INPUT N=N 60 DIM X<N)fA<N)/B<N)/C<N)/S<N)!FOR 1=1 N 70 PRINT!2.0! <1) 80 INPUT <1>: NEXT I . 90 1 <1> = 100 FOR 1=1 N!LETX<0)=X<I)

110 LETX<I)=X<0)-2*H!GOSUB 400:LETF2=F!6OSUB 400!LETF1=F 120 GOSUB 400:LETF0=F!GOSUB 400:LETE1=F:GOSUB 400:LETE2=F 130 LETX< I )=X<0): LETA< I )=<-E2-b8*El-8*Fl-HF2)/12/H 140 LETSCI)=A<I)*Xa)/F0

150LETBa)=<-E2-H6*El-30*F0-H6*Fl-F2)/12/H/H

160 LETC<I)=<E2-2*El-b2*Fl-F2)/2/H/H/H!NEXT I

208 FOR 1=1 TO :1!2.0! X<I)

210 PRINT!F1.9!D1F/DX1=A<I)

220 PRINTD2F/DX2=B<I):PRINTD3F/DX3=C<I)

230 PRINTS=S<I):NEXT I

240 PRINT F<XI0)=F0:GOTO 90 400 LETF=EXP<-X< 1 )2/2)/SeR<2*#PI) 410 LETX<I)=X<I)-hH!RETURH:END



4.35.

18 PRINT

20 PRINT

30 PRINT F<XI) /

40 PRINT- 408

50 N=N

60 DIM X(N)/A<N)/B<N)/C<N)/S<N)!FOR 1=1 N

70 PRINT!2.0! (1)

80 INPUT )! NEXT I

98 INPUT Xd) = 100 FOR 1=1 N!LETX<8)=X<I)!LETH=X<8)*P 110 LETX<:i)=X<0)-3*H!6OSUB 488!LETF3=F

120 GOSUB 480!LETF2=F!GOSUB 400!LETF1=F!&OSUB 4e0!LETE0=F

130 GOSUB 400!LETE1=F!GOSUB 400!LETE2=F!GOSUB 480!LETE3=F

140 LETAa)=<E3-9*E2+45*El-45*Fl+9*F2-F3V60/H

158 LETB<I)=2*E3-27*E2+278*E1-498*E8

168 LETB a >=< < I) +278*F 1 -27!*F2+2!*F3 ) / 18e/< H*H )

178 LETCa)=<:8*E2-E3-13*El+13«Fl-8*F2+F3)/8>-4H"3)

188 L£TS<I)=A<I)*X<e)/E0!LETXa)=X<0):NEXT I

200 FOR 1=1 TO N!PRINT!2.0! <)

210 PRINT<F1.9!DlF/DXl=Aa)

220 PRINTIGF✓2=B<I)!PRINT/»C<I>

230 PRINTS=Sa)!NEXT I

248 PRINT F<XI0>=E0!GOTO 98 488 LETF=EXP ( -X < 1) -2/2 ) /SOR < 2*#P I) 410 LETXa)=Xa)+H!RETURN!END

. - S=-2,500000004.10 ,

4.33, F{XIO) = 3,3520653268 -10-.

D1F/DX1 = -1,760326636-10"", H=consL -

D2F/DX2=-2,640489378-10~, = :,/; =

D3F/DX3 = 4.840943756-10-, =const.

le PRIHT:

26 PRIHTOTHOCHTEftoHOro

PRINT )

40 PRINTAHA- 400

45 PRINT

50 INPUTBBEAHTE N=N

60 DIM XCN>/A<N)..B<:N)..CaOrSCN>sF0R 1=1 N

70 PRINT!2.0! XCIJ

80 INPUT <1>: NEXT I

40 INPUT ) =

166 FOR 1=1 N:LETX<0)=X<DsLETH=P»X<0)

110 LETX<I)=X<0>-2*H:&OSUB 400:LETF2=F!GOSUB 400:LETF1=F

120 GOSUB 408!LETF0=F:GOSUB 480:LETE1=F!GOSUB 40esLETE2=F

130 LETX(I)=X<0)iLETAa>=(-E2+8»E 1 -8»Fl*¥Z)X2

140 LETS<I)=A<I)*X<I)/F8

150 LETBt I )=<-2+161-300+11-2V12-H/H

160 LETC<I)=<E2-2i*El+2»Fl-F2>/£/H/H/H!NEXT I

206 FOR 1=1 TO 1!2.0! <1>

210 PRINT!F1.4iDlF/DXl=A*;i)

220 PRINTD2F---DX2=Ba>:PRINTD3F>-DX.3=Ca>

230 PRINTS=S*;i)!NEXT I

240 PRINT F<XI8>=F0!GOTO 480 LETF=EXP-X< 1) -2--2>-SOR2»#PI > 410 LETX< I )=XCn+H: RETURN! END



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