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Differensial tenglamalar toʻgʻri notoʻgʻri oʻyini

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eegashjon_537

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Uzbekistan

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Differensial tenglamalar toʻgʻri notoʻgʻri oʻyini
 

Differensial tenglamalar toʻgʻri notoʻgʻri oʻyiniOnline version

eegashjon_537

by Ergashjon Safaraliyev
1

Koshi masalasi — bu berilgan nuqtadan o'tuvchi xususiy yechimni topishdir.

2

Differensial tenglamaning tartibi undagi eng yuqori hosila bilan aniqlanadi.

3

To'la differensial bo'lmagan tenglamani hech qachon yechib bo'lmaydi.

4

O'zgaruvchilari ajraladigan tenglamada x va y ni alohida-alohida guruhlarga ajratib yozish mumkin.

5

Fizikadagi tezlanish bilan bog'liq masalalar odatda ikkinchi tartibli differensial tenglamaga keladi.

6

Bir jinsli tenglamalarni yechishda har doim y = x^2 almashtirishidan foydalaniladi.

7

O'zgarmas koeffitsiyentli chiziqli tenglamalar xarakteristik tenglama yordamida yechiladi. (

8

Bernulli tenglamasi har doim chiziqli tenglama hisoblanadi.

9

Bir nechta differensial tenglamalar bog'langan bo'lsa, bu differensial tenglamalar sistemasi deyiladi.

10

Yuqori tartibli tenglamani yechish uchun uning tartibini oshirib borish kerak.

11

O'zgarmas koeffitsiyentli chiziqli tenglamalar xarakteristik tenglama yordamida yechiladi.

12

Dalamber yechimi faqat birinchi tartibli oddiy differensial tenglamalar uchun mo'ljallangan.

13

Agar tenglamaning o'ng tomoni \sin(x) bo'lsa, yechim faqat logarifm orqali qidiriladi.

14

O'zgarmasni variatsiyalash usuli fanda Lagranj usuli deb ham yuritiladi.

15

Eyler tenglamasini yechishda faqat darajali funksiyalardan voz kechish kerak.

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