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If the solutoin of the differential equa...

If the solutoin of the differential equation `e^(x/y(1-y^(2)))[y (dx)/(dy)-x]+[xy^(2)+y^(3)(dx)/(dy)]=0` is
`Ae^(xy)+Be^(x/y)+C=0`, Then `A+B` is

A

`-1`

B

`0`

C

`2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`e^(xy)[xy^(2)+y^(3)(dx)/(dy)]+e^(x/y)[y/(dx)/(dt)-x]=0`
`d(e^(xy))+d(e^(x/y))=0`
`e^(xy)+e^(x/y)+c=0`
`A+B=1`
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