How to create 3d figures as follows

I can lively modify my 3d plots on plots editor, but I want to modify on Editor by codes.

Suppose that we have two figures p1 and p2 as follows:

close all;
clc;
clear all;
[X,Y] = meshgrid(-5:.5:5);
Z = Y.*sin(X) - X.*cos(Y);
p1 = surf(X,Y,Z);
hold on 
p2 = surf(X,Y,Z);

I want to achive followings:

-p1 should be red sphere and markersize=12.

-p2 should be turquoise color and linestyle=none.

-axes gridlinestyle should be '-.' and axes gridline color=blue.

-Can legends be placed in a specific coordinate like (x=2,y=5,z=8)?

Consequently, I want to get a figure similar to the following:

Answer 1

[Cris LaPierre]

Once you know the property names, it's just a matter of setting the desired value. It does seem your equation creates a different shape from the one you show in your image.

[X,Y] = meshgrid(-5:.5:5);
Z = Y.*sin(X) - X.*cos(Y);
p1 = surf(X,Y,Z,"FaceColor","none",...
    "Marker","o","MarkerEdgeColor","y",...
    "MarkerFaceColor","r",'MarkerSize',12,...
    "EdgeColor","none","DisplayName","data2");
hold on 
p2 = surf(X,Y,Z,"FaceColor",[0.25 0.8750 0.8125],...
    "EdgeColor","none","DisplayName","data1");
hold off

grid on % grid is on by default, so not necessary
ax=gca;
ax.GridColor='b';
ax.GridLineStyle = '-'; % this is the default, so not necessary

% first input uses suface objects to set order lines appear.
legend([p2,p1],"Location","north") 
xlabel("x")
ylabel("t")
zlabel("v(x,t)")