ax olve the equation f(x) = 0 to find the critical points of the given autonomous differential equation =f(x). Analyze the sign of f(x) to determine dt hether each critical point is stable or unstable, and construct the corresponding phase diagram for the differential equation. Solve the differential quation explicitly for x(t) in terms of t. Finally, use either the exact solution or a computer-generated slope field sketch typical solution curves for he given differential equation, and verify visually the stability of each critical point. dx dt -=(x-16)² dentify all of the stable critical points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The given differential equation has (a) stable critical point(s) at x = (Simplify your answer. Use a comma to separate answers as needed.) OB. The given differential equation has no stable critical point.

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