Tatu samarqand filiali

O„ZBEKISTON RESPUBLIKASI
OLIY VA O„RTA MAXSUS TA‟LIM VAZIRLIGI

ALISHER NAVOIY NOMIDAGI SAMARQAND DAVLAT UNIVERSITETI

Mexanika – matematika fakulteti

«Hisoblash usullari» kafedrasi

Mamatqulova Zarifa Mamarizayevna

ODDIY DIFFERENSIAL TENGLAMALARNI MAPLE VA MATHCAD MATEMATIK PAKETLARI YORDAMIDA TAQRIBIY YECHISH


«5480100 – Amaliy matematika va informatika» ta‟lim yo„nalishi bo„yicha bakalavr darajasini olish uchun

BITIRUV MALAKAVIY ISH

Ilmiy rahbar dots. A.Abdirashidov
2013 y. «____» _
Bitiruv malakaviy ish «Hisoblash usullari» kafedrasida bajarildi, kafedraning
2013 yil «__» _________dagi majlisida muhokama qilindi va himoyaga tavsiya
etildi (____ -son bayonnoma).


Kafedra mudiri dots. A.Abdirashidov


Bitiruv malakaviy ish YaDAKning 2013 yil «__»__________dagi majlisida himoya qilindi va ____ ball bilan baholandi ( _-son bayonnoma).

YaDAK raisi:
A‟zolari:
________________
________________
________________
________________
________________
Samarqand – 2013

MUNDARIJA

KIRISH. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

1. 
   ODDIY DIFFERENSIAL TENGLAMALARNING ANALITIK YECHIMINI MAPLE VA MATHCAD DASTURI YORDAMIDA TOPISH. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ₇
   
   1. 
      Oddiy differensial tenglama va uning umumiy yechimini Maple dasturida topish. . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
      
   2. 
      Oddiy differensial tenglamaning darajali qatorlar yordamida yaqinlashuvchi yechimlari. . . . . . . . . . . . . . . . . . . . . . 20
      
   3. 
      Oddiy differensial tenglama va uning umumiy yechimini Mathcad dasturida topish 23
      
2. 
   ODDIY DIFFERENSIAL TENGLAMANI MAPLE VA MATHCAD DASTURLARI YORDAMIDA SONLI YECHISH. . . . . . . . . . . ₂₅
   
   1. 
      Oddiy differensial tenglamani Maple dasturida dsolve komandasi yordamida sonli yechish va uning yechimi grafigini odeplot
      

komandasi yordamida qurish 25

2. 
   Differensial tenglama sonli yechimini grafik ko‟rinishda ifodalash-
   

ning Maple dasturidagi Detools paketi. . . . . . . . . . . . . . . 28

3. 
   Oddiy differensial tenglamani Mathcad dasturida sonli yechish va
   

uning yechimi grafigini qurish. . . . . . . . . . . . . . . . . . . . 32

3. 
   AMALIY MASALALARNI MATEMATIK PAKETLAR
   

YORDAMIDA SONLI YECHISH. . . . . . . . . . . . . . . . . . . . 36

1. 
   Qiziqarli tarixiy masalalar yechimlari. . . . . . . . . . . . . . . . ³⁶
   
2. 
   Mexanik tebranishlarga doir masalalar differensial tenglamalarni
   

Maple dasturi yordamida sonli yechish. . . . . . . . . . . . . . . ⁴¹

3. 
   Ba‟zi amaliy masalalar differensial tenglamalarini Mathcad dasturi yordamida sonli yechish. . . . . . . . . . . . . . . . . . . . . . . ⁴⁶
   

XULOSA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
FOYDALANILGAN ADABIYOTLAR RO‟YXATI. . . . . . . . . . 50