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The solution of differential equation
`(1+y^(2))+(x-e^(tan^(-1)y))(dy)/(dx)=0`, is

A

`2xe^(tan^(-1)y)=e^(2tan^(-1)y)+k`

B

`2xe^(tan^(-1)y)=e^(tan^(-1)y)+k`

C

`xe^(tan^(-1)y)=e^(tan^(-1)y)+k`

D

`xe^(tan^(-1)y)`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-DIFFERENTIAL EQUATIONS-Exercise
  1. The solution of (dy)/(dx)+2y tanx=sinx, is

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  2. The solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2), is

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  3. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  4. Solution of x(dy)/(dx)+y=xe^(x), is

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  5. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

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  6. The integrating factor of the differential equation (dy)/(dx)+y=(1+y)/...

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  7. The degree of the differential equation corresponding to the family of...

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  8. The degree of the differential equation of all curves having normal of...

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  9. The differential equation of the family of ellipses having major and m...

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  10. The degree of the differential equation satisfying the relation sqrt(1...

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  11. The differential eqaution of the family of curve y^(2)=4a(x+1), is

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  12. Find the equation of the curve in which the subnormal varies as the ...

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  13. Solution of the differential equation xdy-ydx=0 represents

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  14. The equation of the curve whose subnormal is twice the abscissa, is

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  15. The solution of the differential equation (x)/(x^(2)+y^(2))dy=((y)/(...

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  16. A curve passes through the point (0,1) and the gradient at (x,y) on it...

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  17. The equation of the curve through the point (1,0), whose slope is (y-...

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  18. The differential equation for which sin^(-1) x + sin^(-1) y = c is giv...

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  19. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

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  20. The order of the differential equation of family of circles touching t...

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