Question: 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 :
$\frac{4}{5}$
$-\frac{2}{5}$
$-\frac{4}{5}$
$\frac{2}{5}$
Correct Option: 1
Solution:
