For the harmonic potential V(x,y) = x^2 + y^2

a)Find the total differential, dV.
b) Show that dV is exact
c) Given that -dV = Fx.dx + Fy.dy where Fx and Fy is the force in the x and y direction, respectively, write a differential equation describing the change of potential energy, V(x), with position x.

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