The solution of the differential equation `dy/dx-ky=0, y(0)=1`, approaches zero when `x->oo`, if

Explanation

Given ,

`

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

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

`
Rightarrow frac{1}{y} d y=k d x`



By Integrating each sides, we obtain

`

...