1.

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` isA. `-1`B. `0`C. `2`D. none of these

Answer» Correct Answer - 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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