It is a separable differential equation. All right, so when we're dealing with a separable differential equation, what we want to do is get the y's and the dy's on one side and then the x's and the dx's on the other side and we really treat these differentials kind of like variables which is a little hand wavy with the mathematics but that's what we will do. So let's see, if we multiply both sides times y, so we're gonna multiply both sides times y, what are we going to get? We're gonna get y times the derivative of y with respect to x is equal to e to the x and now we can multiply both sides by the differential dx, multiply both of them by dx, those cancel out and we are left with y times dy is equal to e to the x dx and now we can take the integral of both sides so let us do that. So what is the integral of y dy? Well, here we would just use the reverse power rule. We would increment the exponent so it's y to the first but so now when we take the antiderivative, it would be y squared and then we divide by that incremented exponent is equal to, well, the exciting thing about e to the x is its antiderivative is, and its derivative is e to the x is equal to e to the x plus, is equal to e to the x plus c and so we can leave it like this if we like.