What we're going to do in this video is get some practice finding general solutions to separable differential equations so let's say that I had the differential equation dy dx, the derivative of y with respect to x is equal to e to the x over y. See if you can find the general solution to this differential equation. I'm giving you a huge hint. 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.