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. In fact, this right over here, this isn't an explicit function. Y here isn't an explicit function of x. You could actually say y is equal to the plus or minus square root of two times all of this business but this would be a pretty general relationship which would satisfy this separable differential equation.