If xe^(xy) + ye^(-xy) = sin ^(2) x, the...

If `xe^(xy) + ye^(-xy) = sin ^(2) x`, then `(dy)/(dx)` at `x =0` is a)`2y^(2) -1` b)`2y` c)`y^(2) -y` d)`y^(2) -1`

A

`2y^(2) -1`

B

`2y`

C

`y^(2) -y`

D

`y^(2) -1`

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The correct Answer is:

D

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