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The solutino of the differential equatio...

The solutino of the differential equation `(x^(2)-yx^(2))(dy)/(dx)+y^(2)+xy^(2) = 0` is

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The given equation
`(x^(2)-yx^(2))(dy)/(dx)+ y^(2)+xy^(2)=0`
`rArr" "(1-y)/(y^(2))dy+(1+x)/(x^(2))dx = 0`
`rArr" "((1)/(y^(2))-(1)/(y))dy+((1)/(x^(2))+(1)/(x))dx = 0`
On integrating, we get the required solution
`log((x)/(y))=(1)/(x)+(1)/(y)+c`
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