Q .     If `x· (dy)/(dx) + y = x· (f(xy))/ (f'(xy))`, then ` f(xy) ` is equal to


VIT 2014
A

` k.e ^(x^(2)/2)`

B

` k.e ^(y^(2)/2)`

C

` k.e ^(x^(2))`

D

` k.e ^((xy)/2)`

HINT

`d/(dx) (xy) = x (f(x, y))/(f' (xy))`

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