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Homework Help: Determine the line of force to F and if it's conservative.

  1. Feb 20, 2015 #1
    1. The problem statement, all variables and given/known data
    F(x,y) =(x2y,xy2)
    2. Relevant equations

    3. The attempt at a solution
    I wrote the function as a differential equation dy/x2y = dx/xy2. After integration I got C+y2=x2. This gave me that the line of force is a hyperbolic paraboloid. The function is not conservative. ∂F1/∂y = x2 , ∂F2/∂x = y2 ⇒ ∂F1/∂y ≠ ∂F2/∂x
  2. jcsd
  3. Feb 21, 2015 #2


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    Science Advisor

    The "problem statement" is a single function? What is F? Is it a vector force function? What are you asked to do? Please tell us what the question really is!
  4. Feb 21, 2015 #3
    Silly me. Determine the line of force to the function F and if the function is conservative or not.
  5. Feb 21, 2015 #4
    But what you wrote is not a function.
  6. Feb 21, 2015 #5
    Sorry, didn't notice I wrote function, it's supposed to be vector field. I solved it anyhow so it's all good.
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