That's pretty good.
My Ordinary Differential Equations teacher would write an equation on the board, step back, point his hands at the board and wiggle his fingers. And then he would produce the solution. Someone asked him how he know's the solution, and his answer was, "That is beyond the scope of this class." To which we all laughed. We need to memorize how it is done and not understand it. Which is what my Dad said he had to do when he took the class.
mspart