1-qism,V bob Ikki o‘zgaruvchili funksiya. 1-§ Ikki o‘zgaruvchili funksiyaning xususiy hosilalari

4-§. To‘la differensialli differensial tenglamalar.

Integrallovchi ko‘paytuvchi

Quyidagi differensial tenglamalarni yechin:

1. 
   ( x+siny) dx+(xcosy+siny) dy=0
   
2. 
   (y+esiny) dx+(x+ecosy) dy=0
   
3. 
   (xy+siny) dx+(0,5x+xcosy) dy=0
   
4. 
   (x+y+y) dx+(2xy+x+e) dy=0
   
5. 
   (2xye+lny) dx+(e+) dy=0, y(0)=1
   
6. 
   [siny+(1-y) cosx]dx+ [(1+x) cosy-sinx]dy=0
   
7. 
   (y+x ln y)dx+(+x+1) dy=0
   
8. 
   (arcsinx+2xy) dx+(x+1+arctgy) dy=0
   
9. 
   (3yx+sinx) dx+(x-cosy) dy=0
   
10. 
    (e+3x) dx+( e+4y) dy=0, y(0)=0
    
11. 
    ( dx+( dy=0
    
12. 
    (3xtgy-) dx+(xsecy+4y+) dy=0
    
13. 
    (2x+) dx=dy
    
14. 
    (3x² +2y)dx+(2x-3)dy=0
    
15. 
    (tgy-ycosecx) dx+(ctgx+xsecy) dy=0
    
16. 
    () dx+(e-x-dy=0
    
17. 
    dx+dy=0
    
18. 
    
    
19. 
    ydx-xdy+lnxdx=0,
    
20. 
    
    

21. ydx-(x+y) dy=0,

22. y,

23. (

24.

25.

26.

27.

28.

29.

30.