MATLAB: How to plot 3D plotting

3d plotting

I need help on how to plot the following 2D plot in to a 3D plot. 
zspan=[0,400];
v0mat = [1 0.01 1];
zsol = {};
v1sol = {};
v2sol = {};
v3sol = {};
for k=1:size(v0mat,1)
  v0=v0mat(k,:);
  [z,v]=ode45(@rhs,zspan,v0);
  zsol{k}=z;
  v1sol{k}=v(:,1);
  v2sol{k}=v(:,2);
  v3sol{k}=v(:,3);
end
for k=1:size(v0mat,1)
    figure(1)
     plot(v2sol{k},zsol{k},'g')
     hold on 
       xlabel('Velocity,w')
       ylabel('Height, z')
      grid on     
end
function parameters=rhs(z,v)
            alpha=0.116; 
            db= 2*alpha-(v(1).*v(3))./(2*v(2).^2);
            dw= (v(3)./v(2))-(2*alpha*v(2)./v(1));
            dgmark= -(2*alpha*v(3)./v(1)); 
   parameters=[db;dw;dgmark];
  end

Best Answer

It wasn't clear what you wanted the z to be, so I guessed that it was the initial dw, which presumably later you will vary.
zspan = linspace(0,400,50);
v0mat = [1 0.01 1];
N = size(v0mat, 1);
zsol = cell(N,1);
v1sol = cell(N,1);
v2sol = cell(N,1);
v3sol = cell(N,1);
v2in = cell(N,1);
for k=1:size(v0mat,1)
  v0 = v0mat(k,:);
  [z,v] = ode45(@rhs,zspan,v0);
  zsol{k} = z;
  v1sol{k} = v(:,1);
  v2sol{k} = v(:,2);
  v3sol{k} = v(:,3);
  v2in{k} = v0mat(2) * ones(size(v2sol{k}));
end
all_z = [zsol{:}];
all_v2 = [v2sol{:}];
all_v2in = [v2in{:}];
plot3(all_v2, all_z, all_v2in);
xlabel('Velocity,w')
ylabel('Height, z')
zlabel('initial dw')
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