3 of 3 Loong did an excellent job translating a picture to formulas, but missed putting \frac in front of {RT}{V^2} so that RT was multiplied by V^2 rather than divided by it. the formula is now correct. I added a word to make changes 6 characters.

Is the differential, dp, exact or not?

Consider the differential $$\mathrm dp=\frac RV\,\mathrm dT+\left(\frac{2a}{V^2}-\frac{RT}{V^2}\right)\,\mathrm dV$$ (where $a$ is a constant value)

(a) Determine whether the above differential, i.e. $\mathrm dp$, is exact or not. Show all your steps and evaluation of the appropriate partial differentials!

I have no idea on how to even start this. As far as I can tell the differential is exact, but I don't know how to prove or show it. I'm really struggling to show the steps involved. I would appreciate any advice and thank you very much in advance.