# Thread: Dominant variable in a multi-variable equation

1. ## Dominant variable in a multi-variable equation

For example, I have an equation $f(x,y) = x(1-\frac{x}{y})(1-\frac{x}{Ny})^{p-2}$ $\vee p\in I$.

How can I find the dominant effect between $x$ and $y$? I can find it using Matlab. But don't know how to numerically do it? Please find the figure attached.

2. ## Re: Dominant variable in a multi-variable equation

The leading power of x is x^p while y is to the 1- p power.

Another way to look at it is to let u= x/y. Then f(u,y)= uy(1- u)(1- u/N)^(p- 2). Compare u and y.