Question

Using the range 0 ≤ x ≤ 1 and 0 ≤ t ≤ 1 make an animated plot of:

1.) y1(x,t)=cos(4πt)sin(πx)

2.) y2(x,t)=cos(8πt)sin(2πx)

using matlab

Answer 1

Solution :

Following are the Matlab code for both the part with output :

a)

%range of x
x=0:0.01:1;
%range of y
t=0:0.01:1;
%given function a)
y=cos(4*pi*t).*sin(pi*x);

curve=animatedline('Color','r','Marker','o');
set(gca,'XLim',[0,1],'YLim',[-1,1]);
grid on;
legend("animated plot 1");
for i=1:length(x)
    addpoints(curve,x(i),y(i));
    drawnow
end

Code demo :

b)

%range of x
x=0:0.01:1;
%range of y
t=0:0.01:1;

%given function b)
y=cos(8*pi*t).*sin(2*pi*x);
curve=animatedline('Color','b','Marker','o');
set(gca,'XLim',[0,1],'YLim',[-1,1]);
grid on;
legend("animated plot 2");
for i=1:length(x)
    addpoints(curve,x(i),y(i));
    drawnow
end

Code demo :