How I see it.

CBT makes you work for change in your life. You learn skills. You learn how to change your thinking. Positive results can be seen sooner if you're open to changing these negative thought patterns using these skills.

"Psychodynamic" is a catch-all for talk therapy. You pretty much sit on a couch and bytch for 45 minutes, but don't get a lot of feedback on how to improve your life.

This is just my experience. I hate simple talk therapy because it dredged up the bad but doesn't give you skills for dealing with it. (A nightmare for obsessive minds like mine!)