**exact**. How can we determine this? We must check if $$M_y = N_x$$ If not, don't worry, it still may have a solution. Imagine the differential equation $ydx + xdy = 0$. The function $F(x,y) = xy$. Now, let's multiply through by x. $xydx + x^2dy = 0$. $M_y = x,$ and $N-x = 2x$. The two aren't equal. So, we need to figure out a way to account for that.

# Integrating Factor

# Find the solution

# Example

David Witten