So these two terms right over here, nine e to the negative 3x, essentially minus six e to the negative 3x, that's going to be three e to the negative 3x, which is indeed equal to three e to the negative 3x. So y one is indeed a solution to this differential equation. But as we'll see, it is not the only solution to this differential equation. For example, for example, let's say y two is equal to e to the x is also a solution to this differential equation. And I encourage you to pause the video again and verify that it's a solution. So assuming you've had a go at it, so the first derivative of this, this is pretty straightforward, is e to the x. Second derivative is one of the profound things of the exponential function.