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