# Determine the line of force to F and if it's conservative.

1. Feb 20, 2015

### MechanicalBrank

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. Feb 21, 2015

### HallsofIvy

Staff Emeritus
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!

3. Feb 21, 2015

### MechanicalBrank

Silly me. Determine the line of force to the function F and if the function is conservative or not.

4. Feb 21, 2015

### AfterSunShine

But what you wrote is not a function.

5. Feb 21, 2015

### MechanicalBrank

Sorry, didn't notice I wrote function, it's supposed to be vector field. I solved it anyhow so it's all good.