DSolve[Derivative[1][y][x] == (2*a*(-4*a + x + x*y[x]^2))/(-128*a^4 + 4*a*x^2*y[x] - x^3*y[x] + 96*a^3*x*y[x]^2 - x^3*y[x]^3 - 24*a^2*x^2*y[x]^4 + 2*a*x^3*y[x]^6),y[x],x]