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The solution of differential equation (d...

The solution of differential equation `(dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1+x^(2))^(2)"is"`

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. The form of the differential equation of the central conics, is

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  2. The solution of the differential eqaution (x^(2)-yx^(2))(dy)/(dx)+y^...

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  3. The solution of differential equation (dy)/(dx)+(2xy)/(1+x^(2))=(1)/(1...

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  4. The equation of the curve through the point (1,0) which satisfies the ...

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  5. The differential equation of family of curves x^(2)+y^(2)-2ax=0, is

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  6. The solution of the differential equation (dy)/(dx)-(tany)/(x)=(tany...

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  7. The solution of (dy)/(dx)+2y tanx=sinx, is

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  8. Solve the each of the following differential equation: (dy)/(dx)+y/...

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  9. Solve the differential equation: (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx...

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

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

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

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

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

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

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  16. Find the differential equation satisfying the relation sqrt(1+x^(2))+s...

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

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  18. Find the equation of the curve in which the subnormal varies as the sq...

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  19. The solution of differential equation xdy-ydx=0 represents

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

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