Question

What is a solution to the differential equation `dy/dx=ky`?

Answer 1

`abs y = C e^(kx)`

Explanation:

Assiuming k is just some constant, this is immediately separable

`1/y y' = k`

And
`int (1/y y' = k) dx`

`implies int 1/y \ dy = k int dx`

`implies ln abs y = k x + C`

`abs y = e^(k x + C) = C e^(kx)`