Question

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

Answer 1

`= alpha e^{x^2/2 }`

Explanation:

it's separable!!

`y' = xy`

`1/y \ y' = x`

`ln y = x^2/2 + C`

`y = e^{x^2/2 + C}`

`= alpha e^{x^2/2 }`