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

B

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

C

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

D

`(1+x^(2))=C+sin^(-1)x`

AI Generated Solution

To solve the differential equation \[ \frac{dy}{dx} + \frac{2xy}{1+x^2} = \frac{1}{(1+x^2)^2}, \] we will follow the steps outlined below: ...

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