Find the equation of a curve passing thr...

Find the equation of a curve passing through `(0,1)` and
having gradient `(-(y+y^3))/(1+x+x y^2)` at `(x , y)`

A

(a) `xy+tan^(-1) y=pi/2`

B

(b) `xy+tan^(-1) y=pi/4`

C

(c) `xy-tan^(-1) y=pi/2`

D

(d) `xy-tan^(-1) y=pi/4`

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The correct Answer is:

B

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