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The solution of the differential equatio...

The solution of the differential equation `(dy)/(dx)=(xy+y)/(xy+x)` is

A

`x+y-log((cy)/(x))`

B

`x+y=log(cxy)`

C

`x-y-log((cx)/(y))`

D

`y-x=log((cx)/(y))`

Text Solution

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The correct Answer is:
D
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SIA PUBLICATION-DIFFERENTIAL EQUATIONS-Problems
  1. The solution of the differential equation (dy)/(dx)=sin(x+y)tan(x+y)-1...

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  2. The differential equation of the family y=ae^(x)+bxe^(x)+cx^(2)e^(x) o...

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  3. The solution of the differential equation (dy)/(dx)=(xy+y)/(xy+x) is

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  4. The solution of the differential equation (dy)/(dx)=(x-2y+1)/(2x-4y) i...

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  5. The solution of the differential equation (dy)/(dx)-ytanx=e^(x)secx is

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  6. The solution of the differential equation xy^(2)dy-(x^(3)+y^(3))dx=0 i...

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  7. The differential equation obtained by eliminating the arbitrary consta...

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  8. The solution (x+y+1)(dy)/(dx)=1 is

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  9. The solution of (dy)/(dx)=(y^(2))/(xy-x^(2)) is

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  10. The solution of (dy)/(dx)+1 = e^(x+y) is

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  11. The solution of (x^(2)+y^(2))dx=2xydy is

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  12. The solution of (1+x^(2))(dy)/(dx)+2xy-4x^(2)=0

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  13. The solution of (dx)/(dy)+(x)/(y)=-x^(2) is

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  14. If dx+dy=(x+y)(dx-dy), then log(x+y) is equal to

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  15. If x^(2)y-x^(3)(dy)/(dx)=y^(4)cosx then x^(3)y^(-3) is equal to

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  16. Which of the following statement is correct ? Statement I if dy+2xyd...

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  17. If (dy)/(dx)=(y+xtan.(y)/(x))/(x), then sin.(y)/(x) is equal to

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  18. Integrating factor of (x+2y^(3))(dy)/(dx)=y^(2) is

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  19. y=Ae^(x)+Be^(2x)+Ce^(3x) satisfies the differential equation

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  20. Assertion (A) Integrating factor of (dy)/(dx)+y=x^(2) is e^(x). Reaso...

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