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Solutionof the differential equation yd...

Solutionof the differential equation `ydx-xdy+xsqrt(xy)dy=0` is

A

`(x^(2)+y^(2))/2 + tan^(-1)sqrt(y/x)=c`

B

`(x^(2)+y^(2))/2 + 2tan^(-1)sqrt(x/y)=C`

C

`(x^(2)+y^(2))/2+2cot^(-1)sqrt(x/y)=c`

D

None of these

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The correct Answer is:
D
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CENGAGE-DIFFERENTIAL EQUATIONS-Exercise (Single)
  1. The solution of (y+x+5)dy=(y-x+1)dx is (a) ( b ) (c)log(( d ) (e) (f)...

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  2. The slope of the tangent at (x , y) to a curve passing through a po...

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  3. Solutionof the differential equation ydx-xdy+xsqrt(xy)dy=0 is

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

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  5. The solution of the differential equation 2x^(2)y(dy)/(dx) = tan(x^(...

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  6. The solution of the differential equation {1/x-y^(2)/(x-y)^(2)}dx+{x^...

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  7. The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is (...

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  8. The solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is (a) ( b ) (c...

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  9. The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and ...

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  10. The solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx)) ...

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  11. The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^...

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  12. The solution of the differential equation {1+xsqrt((x^2+y^2))}dx+{sqrt...

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

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  14. The solution of the differential equation (xcoty + log cosx)dy +(logsi...

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  15. If =(e^y-x)^(-1), where y(0)=0 , then y is expressed explicitly as ...

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  16. The general solution of the differential equation, y^(prime)+yvarph...

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  17. The integrating factor of the differential equation (dy)/(dx)(x(log...

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

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  19. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is (...

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  20. Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x ,|x|<pi/4, wh...

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