The differential equation of the family of lines through the origin is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $x\frac{dy}{dx}- y = 0$
family of lines passing through O,
$⇒y=mx$
differentiating w.r.t.(x)
$\frac{dy}{dx}=m$
so $\frac{dy}{dx}=\frac{y}{x}⇒x\frac{dy}{dx}- y = 0 $