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Solution of the differential equation (d...

Solution of the differential equation `(dy)/(dx)=(y(1+x))/(x(y-1))` is

A

log xy+x+y=c

B

`log (x/y)+x-y=c `

C

log xy+x-y=c

D

None of these

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. The order of the differential equation (dx)/x +(dy)/y = 0 is

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  2. The solution of the differential equation x(dy)/(dx)-y+3=0 represents ...

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  3. Solution of the differential equation (dy)/(dx)=(y(1+x))/(x(y-1)) is

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

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  5. The solution of the differential equation y - x ( dy)/(dx) = a ( y...

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  6. What is the solution of the differential equation (dy)/(dx) + sqrt(...

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  7. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  8. The solution of (dy)/(dx) = 1+ y + y^(2) + x+ xy + xy^(2) is

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  9. The solution of the differential equation (dy)/(dx)=3^(x+y) at x=0=y i...

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  10. The particular solution of the differential equation xdy + 2 y dx = ...

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  11. The solution of the differential equation 2x(dy)/(dx)-y=0 , y(1)=2 re...

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  12. Particular solution of differential equation e^("dy"/"dx") =x:y (1) = ...

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  13. The solution of log.(dy)/(dx)=x when y=1 and x=0 is :

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  14. Find the particular solution of the differential equation log(dy)/(...

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  15. If (dy)/(dx)=y+3 and y(0)=2, then y(ln 2) is equal to

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  16. If "dy"/"dx"=1-y and y(0)=3, then y(loge 8) is equal to

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  17. The particular solution of the differential equation y(1+log x...

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  18. Solution of the differential equation sin((dy)/(dx))=a with y(0)=1 is

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  19. if y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)= ...

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  20. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

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