Slightly deflated at being bested the first time, but still eager to prove herself, Amethystia got up and went to the front of the class, self-consciously readjusting her glasses. She picked up the piece of chalk, only slightly flinching as she remembered smelling it burning, and wrote the answer in her elegant swirling handwriting on the board.
"It's fairly straightforward. You take the derivative of the equation with respect to y the integral with respect to x, then multiply both sides by e to the x, and solve for Y, and you get the solution of the equation, which could be any point in the shaded area on THIS graph." She shaded the graph with a flourish and went back to her seat, winking at the boy she'd sent the note to earlier. She could tell that he was terribly in lust already. And so was she, though she'd never admit it. She'd never thought about anything in... That... way before, since she was too pure to ever have had a relationship like that with anyone, but the boy did kind of... excite her.