Can someone explain differential equations to you if you haven't yet mastered basic algebra? And yet, from the depths of your "knowledge", he/she appears to be spouting gibberish...
No, but they can explain where and how you haven't mastered basic algebra. Every academic field in the west, without exception, encourages students to question and challenge, and that approach has proven so successful that academics in Japan use...the same methodology. Why should that change in the dojo?
If you know what you're doing you ought to be able to explain it. The real problem is that so many senior people can't explain differential equations - or ever understand the equations themselves.