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!