Exact equations intuition 2 (proofy) (video) | Khan Academy
www.khanacademy.org › math › differential-equationsSo if you see something of the form, M of x, y plus N of x, y, times dy, dx is equal to 0. And then you take the partial derivative of M, with respect to y, and then you take the partial derivative of N, with respect to x, and they are equal to each other, then-- and it's actually if and only if, so it goes both ways-- this is an exact equation, an exact differential equation. This is an exact equation. And if it's an exact equation, that tells us that there exists a psi, such that the ...