The general solution of the differential equation $ydx+xdy =0$ is :

$xy = C, $ where C is a constant. $\frac{1}{x}+\frac{1}{y}=C,$ where C is a constant. $logx.logy\, y=C,$ where C is a constant. $x+y=C,$ where C is a constant

$xy = C, $ where C is a constant.

The correct answer is Option (1) → $xy = C, $ where C is a constant. $\int ydx+xdy =0$ so $\int d(xy)=\int 0$ $⇒xy=c$