Question

What is a solution to the differential equation `dy/dx=3y`?

Answer 1

`y = C e^(3x)`

Explanation:

`dy/dx = 3y`

`1/y dy/dx = 3`

`int \ 1/y dy/dx \ dx=int 3 \ dx`

`int \ 1/y \ dy=int 3 \ dx`

`ln y = 3x + C`

`y = e^(3x + C) = C e^(3x)`