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

2-§. Bir jinsli differensial tenglamalar

Quyidagi differensial tenglamalarni yeching:

1. (x+2y)dx-xdy=0 2. (x-y)dx+(x+y)dy=0

3. (y-2xy)dx+xdy=0 4. (x-y)y'=2xy

5. 2xy'=y(2x²-y) 6. y+xy'=xyy'

7. (x-y)=y'(y+x) 8. xy'=y-x e

9. xy'-y=(x+y)ln 10. xy'=yln

11. xy'sin()+x=ysin() 12. xy+y=(2x+xy)y'

13. xy'ln()=x+yln 14. xyy'=y+2x

15. xy'-y=xtg(), y(1)= 16. (3y-7x)dx - (3x-7y)dy=0

17. y'=4++(), y(1)=2 18. (x+y) dx-xydy=0

19. y'= 20. xy'=xe+y, y(1)=0

21. xy'-y= 22. xy'=+y

23. xy+y² =(2x² +xy) y' 24. (2x+y)dx - (x+2y)dy=0

25. (x-y) dx+xdy=0 26. xy'=y(lny-lnx)

27. xdy=(y-xy+x)dx 28. 2xy'=x+y

29. (y-x)=2(y-) 30. (y-x) dx+(y+x)dy=0