how i plot this function

u(x,t)=t+sin(x-a*t)

Answer 1

[Star Strider]

One way, using the exact equation you posted:

syms x t 
a = 4.2;                                        % Use Appropriate Value
u(x,t) = t+sin(x-a*t);

figure
fsurf(u, [- pi pi  0 1])

and another possibility:

x = linspace( ... );                            % Create Vector
t = linspace( ... );                            % Create Vector
[X,T] = ndgrid(x,t);
u = @(x,t) t+sin(x-a.*t);

figure
mesh(X, T, u(X,T))
grid on

.

[muhammad asif]

group should be like that sir.

[Star Strider]

There appears to be missing data. I cannot guess what they are.

Try this:

x = linspace(-2*pi, 2*pi, 25);                            % Create Vector
t = linspace(-2*pi, 2*pi, 25);                            % Create Vector
a = 1;
[X,T] = ndgrid(x,t);
u = @(x,t) t+sin(x-a.*t);

figure
plot(t, u(X,T))
hold on
plot(t, x, 'k', 'LineWidth',2)
hold off
grid on

That is as close as I can get.

Experiment with the code to get the result you want.