Form the differential equation representing the family of curves `y" "=" "m x` , where, m is arbitrary constant.

Explanation

`y=m x`


By Differentiating each sides, we obtain



`frac{d y}{d x}=m `


`Rightarrow frac{d y}{d x}=frac{y}{x} ldots ldots ldots .[text { From (1) } `


`Rightarrow x frac{d y}{d x}=y `


`Rightarrow x frac{d y}{d x}-y=0`