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

a) Find the total differential, dV.
For this I got dV = 2x.dx + 2y.dy

b) Given that -dV = F(x).dx + F(y).dy, where F(x) and F(y) 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.

I am really not sure about this. Should I integrate the whole equation and then differentiate with respect to x?

Similar Questions
  1. For the harmonic potential V(x,y) = x^2 + y^2a)Find the total differential, dV. b) Show that dV is exact c) Given that -dV =
    1. answers icon 0 answers
  2. pls. explain how to get this:A number x is the harmonic mean of two numbers a and b if 1/x is the mean of 1/a and 1/b. a) Write
    1. answers icon 0 answers
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions