MATLAB: How to plot a 2d potential function

2d plotsMATLABpotential functions

Hi all. Today I came across a function f(X,Y) = cos(2*pi*X)(1+3Y) + ((2*pi*y)^2)/2.

I thought this was a 3d function but apparently it's not. How do i plot this 2D function in MATLAB.

Is there a special function for handling potential functions in MATLAB? thank you very much

f = @(X,Y) cos(2*pi.*X).*(1+3.*Y) + ((2*pi.*Y).^2)/2
fsurf(f)

...
plot3(x,zeros(size(x)),z)
hold on
...
plot3(zeros(size(y)),y,z)

ezcontour() and the new fcontour() can only plot functions of at most 2 variables. You will need to construct a 3D array and use isosurface() on it.

My testing suggests that the only solution is x = 0, y = 0, z = 0