Plot a variable in x-y plane.

I have two variables: "z" and "v" which have the following relationship with x and y:

z = x^2 - y^2

v = 2xy

Its basically a transformation of Cartesian coordinates to hyperbolic coordinates. Now I solve a system of differential equations in this new coordinate system and obtain a variable "h" which goes as:

v = h, but h is not constant but a function of z. Essentially I have h and z as arrays of known size.

Question: I can plot h vs z, pretty straightforward. But how do I plot "h" in x-y space? Any help will be appreciated.

Answer 1

[Elias Gule]

Try this: Remember that on the x-y plane, the value of z is zero.

plot3(z,h,zeros(size(h))); % plots h vs z on the x-y plane

[Shashank]

How is the value of "z" zero in x-y plane? "x" is not always equal to "y".

All I need to know is how to plot specific coordinates of (z,v) in x-y plane. I already have a physical understanding of what the plot should look like. Can't find any syntax on MATLAB though. :(

[Elias Gule]

I thought you wanted to plot h vs z on the x-y plane in a 3-dimensional coordinate system; which appears not to be the case. So now, my next assumption is that you want to plot h vs z, in a 2-dimensional coordinate system such that the h-values appear on the y-axis, while the z-values appear on the x-axis. If that's true then the command

plot(z,h);

should work. Unless I'm mistaken, again.