DSolve[Derivative[1][y][x] == -(x*(-8 - 8/E^x^2 + (8*x^2)/E^x^2 - (2*x^4)/E^(2*x^2) + x^6/E^(3*x^2) + (8*x^2*y[x])/E^x^2 - (6*x^4*y[x])/E^(2*x^2) - 8*y[x]^2 + (12*x^2*y[x]^2)/E^x^2 - 8*y[x]^3))/8,y[x],x]