O‘zgaruvchilari ajraladigan differensial tenglamaning umumiy yechimini toping

1. 
   O‘zgaruvchilari ajraladigan differensial tenglamaning umumiy yechimini toping.
   
2. 
   Bir jinsli differensial tenglama qatnashgan Koshi masalasini yeching:
   

.

3. 
   I tartibli chiziqli differensial tenglamani integrallang.
   
4. 
   II tartibli eng sodda differensial tenglamali Koshi masalasini yeching:
   

.

5. 
   Ushbu II tartibli tenglamalarni tartibni pasaytirish usulida integrallang:
   

a) ; b) .
6.Quyidagi II tartibli bir jinsli o‘zgarmas koeffitsiyentli chiziqli differensial tenglamalarning umumiy yechimini toping:
a) ; b) ; c) .

7.II tartibli bir jinsli o‘zgarmas koeffitsiyentli chiziqli differensial tenglama uchun Koshi masalasini yeching:

.
8.Umumiy hadi bo‘lgan sonli qatorni yozing va uning yig‘indisini toping.
9. sonli qatorni yaqinlashuvchi ekanligini ko‘rsating va yig‘indisini toping
10.Musbat hadli sonli qator yaqinlashuvini Dalamber alomati yordamida tekshiring.
11.Musbat hadli sonli qator yaqinlashuvini Koshi alomati yordamida tekshiring.