Q 1376067876.     Find a particular solution satisfying the given condition `(1+x^2) frac{dy}{dx}+2xy=frac{1}{1+x^2};y=0` when `x=1`

A

`y(1+x^2) = tan^{-1} x -frac{ pi}{2}`

B

`y(1+x^2) = tan^{-1} x -frac{ pi}{4}`

C

`y(1+x^2) = tan^{-1} x -frac{ 2\pi}{3}`

D

`y(1+x^2) = tan^{-1} x +frac{ pi}{4}`

HINT

it is a linear differential equation Hence the required solution is `y.(1+x^2) =tan^{-1}x + C`

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