I am given the following ODE, and the instructions are to show whether it is exact or not, and then solve:
(x+y)dy=(y-x)dx
My first step, is to put the equation in the form M(x,y)\,dx+N(x,y)\,dy=0:
(x-y)dx+(x+y)dy=0
Next, I compute the partials:
\frac{\delta M}{\delta y}=-1\ne1=\frac{\delta...