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The solution of differential equation ...

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

A

`xe^(tan^(-1)y)=tan^(-1) y+c `

B

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

C

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

D

`x^2 e^("tan"^(-1)y) =4e^("2 tan"^(-1)y) +c `

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Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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  13. Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x ...

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  14. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

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  15. If x(t) is a solution of ((1+t)dy)/(dx)-t y=1 and y(0)=-1 then y(1)...

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  18. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

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  19. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c...

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