DSolve[Derivative[1][y][x] == y[x]^2/(x^3 + x^2*Sqrt[y[x]] - 3*x^2*y[x] + y[x]^(3/2) - 2*x*y[x]^(3/2) + y[x]^2 + 3*x*y[x]^2 + y[x]^(5/2) - y[x]^3),y[x],x]