The differential equation of the family of lines through the origin, is
Answer & explanation
Correct answer: option 1
The equation of the family of lines passing through the origin is
$y=m x$ ......(i)
$\Rightarrow \frac{d y}{d x}=m$ ......(ii)
From (i) and (ii), we get $y=x \frac{d y}{d x}$, which is the required differential equation.