I think that the next day all the board members will meet again, and go back over the case with Mr. Keeting. And they will realize that all of the kids like him, and that they did wrong by firing him, and they will hire him back. Then They will realize that Neil was just under so much stress from his father. That is why he ended up killing himself. Not anything to do with Mr. Keeting or the Dead Poets society. That is how I would personally rewrite the ending of this story.