Question
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.
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.