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A, В n u q ta la rd a n to ‘g ‘ri chiziq o ‘tkazam iz. T o ‘g ‘ri ch iziq n in g OxBog'liq boshqarish tizimlarini kompyuterli Elektr mash. fan.A, В n u q ta la rd a n to ‘g ‘ri chiziq o ‘tkazam iz. T o ‘g ‘ri ch iziq n in g Ox o ‘qi bilan k e
sishish n u q tasin i x , = a -------- -— --------f ( a ) deb belgilaym iz. A gar |x , - x , |< e
f ( b ) - f ( a )
shart b a ja rilsa , x = x , (4.8) tenglam aning e aniq lik d ag i taq rib iy yechim i deb qabul
qilinadi, aks h o ld a b = x 2 ( a = x 2) deb olib, y u q o rid a g i am allar ketm a-ketligini
|x, - x , I < s (/' = 3,4,...) |x - x ,| < £ shart b a jarilg u n ch a davom ettiram iz. N ati-
ja d a (4.8) te n g la m a n in g e aniqlikdagi x = x, taq rib iy y ech im in i hosil qilam iz.
U m u m iy h o ld a x n
lam ing ketm a-ket hiso b lash form ulasi quyidagi
k o 'rin is h d a boMadi:
• f ( a )
x = b -
f ( x n_ J - f ( b )
■ f ( b )
M iso l. ?(0,55x + 0 , l ) - x
2
= 0 ten g lam an in g [0,6,0,8] oraliqdagi ildizini
£ = 0.005 a n iq lik d a hisoblang.
Y e c h is h . x , = 0 ,7517; x, = 0,7417 taq rib iy y ech im lar uchun
\x2 - x , | =
0 , 0 0 2
< £
bajariladi. D e m a k , taq rib iy yechim sifatida x 2 = 0 ,7517 ni olish m um kin.
T ra n ss e n d e n t tenglam alarni yechish u ch u n v a ta rla r
tu zilg an d a s tu r m atni:
p ro gram v a ta r ; uses crt;
label 1.2;
var a .b .ep s.x .rea l;
fu n c tio n f(x ; rea l): real;
js u lig a Paskal tilida
6 6
f : = x*x-exp(-3 *x)-l
{ f(x) funksiyaning ко ‘rin ish i}
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