If a curve y=f(x) passes through the point (1,-1)


If a curve $y=f(x)$ passes through the point $(1,-1)$ and satisfies the differential equation, $y(1+x y) d x=x$ dy, then $f\left(-\frac{1}{2}\right)$ is equal to :

  1. $\frac{4}{5}$

  2. $-\frac{2}{5}$

  3. $-\frac{4}{5}$

  4. $\frac{2}{5}$

Correct Option: 1


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