Муҳаммад ал хоразмий номидаги

 
MATLAB dasturiy tizimida
: 
sm
A
10
=
, 
cek
rad
/
4


=
, 
125
.
0
=

, 
6
0


=
qiymatlari 
uchun so‘nuvchi tebranma harakat tenglamasi 
sm
t
e
x
t
)
6
4
sin(
10
02
.
0


+
=
−
ko‘rinishga 
keladi. Tezlikning vaqtga bog‘lanish tenglamasini 
dt
dx
=

, tezlanishning vaqtga 
bog‘lanish tenglamasini esa 
2
2
dt
x
d
dt
d
a
=
=

differensial tenglamani yechish orqali 
amalga oshiriladi. Siljish masofasi, tezlik, tezlanishlarning vaqtga bog‘liqlik 
grafigini chiziladi. 
x=sym('10*exp(-
0.125*t)*sin(pi/4*t+pi/6)') 
x =(10*sin(pi/6 + 
(pi*t)/4))/exp(0.125*t) 
v=diff(x,'t') 
v =(5*pi*cos(pi/6 + 
(pi*t)/4))/(2*exp(0.125*t)) - 
(1.25*sin(pi/6 + 
(pi*t)/4))/exp(0.125*t) 
v=sym('(5*pi*cos(pi/6 + 
(pi*t)/4))/(2*exp(0.125*t)) - 
(1.25*sin(pi/6 + 
(pi*t)/4))/exp(0.125*t)') 
v =(5*pi*cos(pi/6 + 
(pi*t)/4))/(2*exp(0.125*t)) - 
(1.25*sin(pi/6 + 
(pi*t)/4))/exp(0.125*t) 
a=diff(v,'t') 
a =(0.15625*sin(pi/6 + 
(pi*t)/4))/exp(0.125*t) - 
(0.625*pi*cos(pi/6 + 
(pi*t)/4))/exp(0.125*t) - 
(5*pi^2*sin(pi/6 + 
(pi*t)/4))/(8*exp(0.125*t)) 
a=sym('(0.15625*sin(pi/6 
+ (pi*t)/4))/exp(0.125*t) - 
(0.625*pi*cos(pi/6 + 
(pi*t)/4))/exp(0.125*t) - 
(5*pi^2*sin(pi/6 
+ 
(pi*t)/4))/(8*exp(0.125*t))') 
a=(0.15625*sin(pi/6 + 
(pi*t)/4))/exp(0.125*t) - 
(0.625*pi*cos(pi/6 + 
(pi*t)/4))/exp(0.125*t) - 
(5*pi^2*sin(pi/6 + 
(pi*t)/4))/(8*exp(0.125*t)) 
ezplot(x,[0,20]) 
ezplot(v,[0,20]) 
ezplot(a,[0,20]) 

---

194 
b) Dev-C++ dasturlash tilida: 
Dev-C++ dasturida dasturlash amalga 
oshirish jarayonida funksiyaning argumentga bog‘lanish tenglamasini kiritishda 
qulaylik uchun MATLAB dasturiy tizimida yozilgan dastur tarkibidan nusxa olish 
maqsadga muvofiq. Dasturlash jarayonida masshtabni, koordinatalar boshini va 
ketma-ketlik koeffitsiyenti 
k
ni to‘g‘ri tanlash lozim. Shuni ta’kidlash joizki, 
MATLAB dasturiy tizimida matematik amallarni bajarish, masala yechimini 
topish, grafiklarni chizish, so‘ngra Dev
-C++ (4.9.9.2) dasturlash tilida avval grafik 
rejimga o‘tish va dasturlashni amalga oshirish kerak bo’ladi. Kompilyatsiya 
jarayonini amalga oshirganimizdan so’ng grafik chizish Dev
-C++ da Console 
oynasida qora chiziqlar orqali amalga oshiriladi. 
 
#include  
#include  
#include  
#include  
using namespace std; 
int main() 
{ 
initwindow(600,400); 
setbkcolor(WHITE); 
clearviewport(); 
setcolor(BLACK); 
line(0,200,getmaxx(),2
00); 
line(300,0,300,getmax
y()); 
double 
x,y,i,pi=3.14,k=0.1; 
for(int i=-
250;i<300;i=i+1) 
{ 
x=250+i;
y=200-10*(exp(-
0.125*k*i))*sin(pi/4*k*i+pi/6); 
putpixel(x,y,BLACK); 
y =200-(2.5*pi*cos(pi/6+pi/4*k*i)*exp(-
0.125*k*i)-(1.25*sin(pi/6+pi/4*k*i))*exp(-
0.125*k*i)); 
putpixel(x,y,BLACK); 
y=200-(0.15625*sin(pi/6+pi/4*k*i)*exp(-
0.125*k*i)-0.625*pi*cos(pi/6+pi/4*k*i)*exp(-
0.125*k*i)-
5*pi*pi*sin(pi/6+pi/4*k*i)/(8*exp(0.125*k*i))); 
putpixel(x,y,BLACK); 
delay(10); 
} 
getch(); 
closegraph(); 
return 0; 
} 
Fizikaviy jarayonlarni dasturlash tillaridan foydalanib o‘rganish kelajakda 
yosh dasturchidan mukammal dasturlarni yaratishida asos bo‘ladi. Fizikadan 
amaliy mashg‘ulot jarayonida zamonaviy axborot texnologiyalaridan foydalanish, 
0
2
4
6
8
10
12
14
16
18
20
-6
-4
-2
0
2
4
6
8
t (s)
X = (10 sin(

/6 + (

t)/4))/exp(0.125 t)
X

---

195 
xususan MATLAB, MAPLE, MathCAD dasturiy tizimlari hamda Dev-C++, 
Java(SE-8)-
eclipse kompyuter dasturlarini samarali grafik rejimda qo‘llanilishi 
o‘quvchi amaliy faoliyatini faollashtirishtiradi hamda dastulash tillarini chiqur 
o’zlashtirishida amaliy yordam beradi.