Solution 1:

In a comment, John Lawler wrote:

In (2) and (4), the doctor functions as the indirect object of the matrix verb, and also as the subject of the infinitive; persuade and tell are B-Equi predicates.

In (1), (3), and (5), however, the doctor does not originate in the matrix clause; rather, in (1) and (3) it's a B-Raised subject of the infinitive; want and expect govern Raising, not Equi.

In (5), the doctor is the unraised subject of the infinitive, marked as such by the undeleted for complementizer.